Business Statistics in Practice Bruce Bowerman 8th Edition – Test Bank

 

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Sample Test

Chapter 03 Test Bank – Static KEY

 

1.	The median is the measure of central tendency that divides a population or sample into four equal parts.

FALSE

The median divides a population into two equal parts.

AACSB: Reflective Thinking Blooms: Remember Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
2.	The population mean is the average of the population measurements.

TRUE

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

3.	The mode is the measurement in a sample or population that occurs most frequently.

TRUE

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
4.	The population mean is the point estimate of the sample mean.

FALSE

The sample mean is the point estimate of the population mean.

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

5.	The median is said to be resistant to extreme values.

TRUE

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
6.	The range of the measurement is the largest measurement plus the smallest measurement.

FALSE

The range is the largest minus the smallest measurement.

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

7.	The population variance is the average of the squared deviations of the individual population measurements from the population mean.

FALSE

The population variance is the sum of the squared deviations of the individual population measurements from the population mean.

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
8.	In a symmetric population, the median equals the mode.

TRUE

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

9.	It is appropriate to use the Empirical Rule to describe a population that is extremely skewed.

FALSE

The Empirical Rule should be used for normally distributed populations.

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation
10.	The median is the value below which and above which approximately 50 percent of the measurements lie.

TRUE

AACSB: Reflective Thinking Blooms: Remember Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

11.	If there are seven classes in a frequency distribution, then the fourth class will always contain the median.

FALSE

The median is the middle measurement of the data set. Depending on the shape of the distribution, the median can be in any of the classes.

AACSB: Reflective Thinking Blooms: Evaluate Difficulty: 2 Medium Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
12.	Range is a better measure of variation than standard deviation.

FALSE

The standard deviation is a better measure of variability than range.

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

13.	The mean is one component of the five-number summary.

FALSE

The five-number summary includes Q1,Q2,Q3, and the smallest and largest measurements.

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays
14.	The pth percentile is a value such that (100−p) percent of the measurements fall at or below the value.

FALSE

The definition for the (100−p) percentile is that the measurements fall at or above the value.

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays

 

15.	Chebyshev’s Theorem is only of practical use when analyzing a non-mound-shaped population that is not very skewed.

TRUE

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation
16.	Z-score is often used as a measure of risk.

FALSE

Z-score is used to measure a measurement’s distance from the mean.

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation

 

17.	A correlation coefficient close to −1 says x and y are highly related.

TRUE

AACSB: Reflective Thinking Blooms: Understand Difficulty: 1 Easy Learning Objective: 03-05 Compute and interpret covariance, correlation, and the least squares line. Topic: Covariance, Correlation, and the Least Squares Line
18.	The line that minimizes the sum of the squared horizontal (x) distances between the points on the scatter plot and the line is the least squares line.

FALSE

The definition of the least squares line is the line that minimizes the sum of the squared vertical distances (y) between the points.

AACSB: Reflective Thinking Blooms: Understand Difficulty: 3 Hard Learning Objective: 03-05 Compute and interpret covariance, correlation, and the least squares line. Topic: Covariance, Correlation, and the Least Squares Line

 

19.	The weights that are used in calculating a weighted mean will vary depending on the situation.

TRUE

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-06 Compute and interpret weighted means and the mean standard deviation of grouped data. Topic: Weighted Means and Grouped Data
20.	Data summarized in a frequency distribution or histogram form are often called weighted data.

FALSE

Data summarized in a frequency distribution or histogram form are called grouped data.

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-06 Compute and interpret weighted means and the mean standard deviation of grouped data. Topic: Weighted Means and Grouped Data

 

21.	In the calculation of a mean for grouped data, we assume that the average of the measurements in each class equals the class midpoint.

TRUE

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-06 Compute and interpret weighted means and the mean standard deviation of grouped data. Topic: Weighted Means and Grouped Data
22.	The geometric mean is the rate of change that yields better wealth at the end of a set of time periods than the actual returns.

FALSE

The definition of geometric mean is the rate of change that yields the same wealth at the end of several time periods as do actual returns.

AACSB: Reflective Thinking Blooms: Understand Difficulty: 3 Hard Learning Objective: 03-07 Compute and interpret the geometric mean. Topic: Geometric Mean

 

23.	When calculating the geometric mean, a quantity of 1 is added to the nth root of the product (1 + R1)(1 + R2) . . . (1 + Rn).

FALSE

When calculating the geometric mean, 1 is subtracted from the nth root of the product.

AACSB: Reflective Thinking Blooms: Understand Difficulty: 3 Hard Learning Objective: 03-07 Compute and interpret the geometric mean. Topic: Geometric Mean
24.	The ending value of an initial investment can be calculated using weighted means.

FALSE

The ending value of an initial investment is calculated using geometric mean.

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-07 Compute and interpret the geometric mean. Topic: Geometric Mean

 

25.	A normal population has 99.73 percent of the population measurements within __________ standard deviation(s) of the mean.

 

A.

1

 

B.

2

 

C.

3

 

D.

4

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation
26.	All of the following are measures of central tendency except the ____________.

 

A.

range

 

B.

mode

 

C.

mean

 

D.

median

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

27.	Which percentile describes the first quartile, Q1?

 

A.

25th

 

B.

50th

 

C.

75th

 

D.

100th

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 1 Easy Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays
28.	Which percentile describes the third quartile, Q3?

 

A.

25th

 

B.

50th

 

C.

75th

 

D.

100th

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 1 Easy Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays

 

29.	Which of the following is influenced the least by the occurrence of extreme values in a sample?

 

A.

mean

 

B.

median

 

C.	geometric mean

 

D.	weighted mean

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
30.	If a population distribution is skewed to the right, then, given a random sample from that population, one would expect that the ____________.

 

A.	median would be greater than the mean

 

B.	mode would be equal to the mean

 

C.	median would be less than the mean

 

D.	median would be equal to the mean

 

AACSB: Reflective Thinking Blooms: Evaluate Difficulty: 3 Hard Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

31.	If the mean, median, and mode for a given population all equal 25, then we know that the shape of the distribution of the population is ____________.

 

A.

bimodal

 

B.	skewed to the right

 

C.	symmetrical

 

D.	skewed to the left

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 3 Hard Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
32.	A disadvantage of using grouping (a frequency table) with sample data is that

 

A.	calculations involving central tendency and variation are more complicated than central tendency and variation calculations based on ungrouped data.

 

B.	the descriptive statistics are less precise than the descriptive statistics obtained using ungrouped data.

 

C.	the interpretation of the grouped data descriptive statistics is meaningless.

 

D.	it is much more difficult to summarize the information than it is with the ungrouped data.

 

AACSB: Reflective Thinking Blooms: Evaluate Difficulty: 3 Hard Learning Objective: 03-06 Compute and interpret weighted means and the mean standard deviation of grouped data. Topic: Weighted Means and Grouped Data

 

33.	When using Chebyshev’sTheorem to obtain the bounds for 99.73 percent of the values in a population, the interval generally will be ___________ the interval obtained for the same percentage if a normal distribution is assumed (Empirical Rule).

 

A.	shorter than

 

B.	wider than

 

C.	the same as

 

AACSB: Reflective Thinking Blooms: Apply Difficulty: 3 Hard Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation
34.	A quantity that measures the variation of a population or a sample relative to its mean is called the ____________.

 

A.

range

 

B.	standard deviation

 

C.	coefficient of variation

 

D.

variance

 

E.	interquartile range

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 1 Easy Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

35.	As a measure of variation, the sample ___________ is easy to understand and compute. It is based on the two extreme values and is therefore a highly unstable measure.

 

A.

range

 

B.	standard deviation

 

C.

variance

 

D.	interquartile range

 

E.	coefficient of variation

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
36.	A measurement located outside the upper limits of a box-and-whiskers display is ___________.

 

A.	always in the first quartile

 

B.	an outlier

 

C.	always the largest value in the data set

 

D.	within the lower limits

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays

 

37.	Another name for the 50th percentile is the ___________.

 

A.

mean

 

B.	first quartile

 

C.

median

 

D.

mode

 

E.	third quartile

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays
38.	The measurement in a sample or a population that occurs most frequently is the ___________.

 

A.

mode

 

B.

mean

 

C.

median

 

D.

outlier

 

E.

average

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

39.	The average of the squared deviations of the individual population measurement from the population mean is the ___________.

 

A.	standard deviation

 

B.

mean

 

C.

variance

 

D.

median

 

E.

range

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
40.	If the mean is greater than the median, then the distribution is ___________.

 

A.	skewed right

 

B.	skewed left

 

C.	symmetrical

 

D.

bimodal

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

41.	The point estimate of the _______________ is the positive square root of the sample variance.

 

A.	sample mean

 

B.	sample standard deviation

 

C.

range

 

D.

median

 

E.	population standard deviation

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
42.	The ______________ is a quantity that measures the variation of a population or sample relative to its mean.

 

A.

mean

 

B.	standard deviation

 

C.

range

 

D.	coefficient of variation

 

E.

Z-score

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

43.	An interval that contains a specified percentage of the individual measurements is called a(n) _______________ interval.

 

A.	three-sigma

 

B.

tolerance

 

C.

normal

 

D.

empirical

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation
44.	As the coefficient of variation _______________, risk ______________.

 

A.	increases, decreases

 

B.	decreases, increases

 

C.	increases, increases

 

D.	remains constant, increases

 

AACSB: Reflective Thinking Blooms: Evaluate Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation

 

45.	Which of the following is a measure of the strength of the linear relationship between x and y that is dependent on the units in which x and y are measured.

 

A.	covariance

 

B.	correlation coefficient

 

C.

slope

 

D.	least squares line

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 2 Medium Learning Objective: 03-05 Compute and interpret covariance, correlation, and the least squares line. Topic: Covariance, Correlation, and the Least Squares Line
46.	If b0 = 32 and b1 = −4 and the predicted value of y is 14, what is the value of x?

 

A.

−24.0

 

B.

18.0

 

C.

4.5

 

D.

0.56

 

AACSB: Reflective Thinking Blooms: Apply Difficulty: 3 Hard Learning Objective: 03-05 Compute and interpret covariance, correlation, and the least squares line. Topic: Covariance, Correlation, and the Least Squares Line

 

47.	In the least squares line, ___________ is defined as rise/run.

 

A.	correlation coefficient

 

B.	predicted value of y

 

C.	y-intercept

 

D.

slope

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 1 Easy Learning Objective: 03-05 Compute and interpret covariance, correlation, and the least squares line. Topic: Covariance, Correlation, and the Least Squares Line
48.	In the calculation of a mean for grouped data, ___________ are used.

 

A.	total sample size and sum of the midpoints of each class

 

B.	total sample size and sum of the weighted midpoints

 

C.	sum of the frequency of each class and the sum of the midpoints of each class

 

D.	sum of the frequency of each class and the sample midpoint

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 3 Hard Learning Objective: 03-06 Compute and interpret weighted means and the mean standard deviation of grouped data. Topic: Weighted Means and Grouped Data

 

49.	The arithmetic mean is ___________ larger than a weighted mean in a set of data that uses unequal weights.

 

A.

always

 

B.

sometimes

 

C.

never

 

AACSB: Reflective Thinking Blooms: Understand Difficulty: 3 Hard Learning Objective: 03-06 Compute and interpret weighted means and the mean standard deviation of grouped data. Topic: Weighted Means and Grouped Data
50.	The constant return used to forecast future wealth based on actual time periods and their returns is the ____________.

 

A.	grouped mean

 

B.	geometric mean

 

C.	weighted mean

 

D.	arithmetic mean

 

AACSB: Reflective Thinking Blooms: Remember Difficulty: 1 Easy Learning Objective: 03-06 Compute and interpret weighted means and the mean standard deviation of grouped data. Topic: Geometric Mean

 

51.	In a statistics class, the following 10 scores were randomly selected: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the mean?

 

A.

71.5

 

B.

72.0

 

C.

77.0

 

D.

71.0

 

E.

73.0

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
52.	In a statistics class, the following 10 scores were randomly selected: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the median?

 

A.

71.5

 

B.

72.0

 

C.

77.0

 

D.

71.0

 

E.

73.0

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

53.	In a statistics class, the following 10 scores were randomly selected: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the mode?

 

A.

71.5

 

B.

72.0

 

C.

77.0

 

D.

71.0

 

E.

73.0

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
54.	In a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. What is the mean?

 

A.

70

 

B.

75

 

C.

68

 

D.

71

 

E.

80

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

55.	In a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. What is the median?

 

A.

70

 

B.

75

 

C.

68

 

D.

71

 

E.

80

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
56.	In a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. What is the mode?

 

A.

70

 

B.

75

 

C.

68

 

D.

71

 

E.

80

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

57.

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the mean?

 

A.

114.15

 

B.

118

 

C.

148

 

D.

45

 

E.

115.5

Mean = sum of values/n = 1484/13 = 114.15

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

58.

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the median?

 

A.

114.15

 

B.

118

 

C.

148

 

D.

45

 

E.

115.5

To calculate median, put data measurements in ascending order. The median for an odd number of measurements is the middle measurement;median = 118.

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

59.

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the mode?

 

A.

114.15

 

B.

118

 

C.

148

 

D.

45

 

E.

115.5

Mode is the value(s) that appears most frequently; mode = 118 (occurs three times).

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
60.	Quality control is an important issue at ACME Company, which manufactures light bulbs. To test the life-hours of their light bulbs, they randomly sampled nine light bulbs and measured how many hours they lasted: 378, 361, 350, 375, 200, 391, 375, 368, 321. What is the mean?

 

A.

375

 

B.

368

 

C.

389.9

 

D.

200

 

E.

346.6

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency

 

61.	Quality control is an important issue at ACME Company, which manufactures light bulbs. To test the life-hours of their light bulbs, they randomly sampled nine light bulbs and measured how many hours they lasted: 378, 361, 350, 375, 200, 391, 375, 368, 321. What is the median?

 

A.

375

 

B.

368

 

C.

389.9

 

D.

200

 

E.

346.6

To calculate median, put data measurements in ascending order. The median for an odd number of measurements is the middle measurement;median = 368.

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
62.	Quality control is an important issue at ACME Company, which manufactures light bulbs. Totest the life-hours of their light bulbs, they randomly sampled nine light bulbs and measured how many hours they lasted: 378, 361, 350, 375, 200, 391, 375, 368, 321. What is the mode?

 

A.

375

 

B.

368

 

C.

389.9

 

D.

200

 

E.

346.6

Mode is the value(s) that appear most frequently; mode = 375 (occurs two times).

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-01 Compute and interpret the mean, median, and mode. Topic: Describing Central Tendency
63.	Find the coefficient of variation for IQ tests with a mean of 100 and a standard deviation of 15.

 

A.

15.0

 

B.

6.7

 

C.

0.15

 

D.

1.5

 

E.

67

Coefficient of variation = (Stddev/mean) × 100 = (15/100) × 100 = 15

AACSB: Analytical Thinking Blooms: Apply Difficulty: 3 Hard Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

64.	Find the z-score for an IQ test score of 142 when the mean is 100 and the standard deviation is 15.

 

A.

42

 

B.

2.8

 

C.

18.78

 

D.

1.27

 

E.

−2.8

Z-score = (x − mean)/stddev = (142 − 100)/15 = 42/15 = 2.8

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
65.	Find the z-score for an IQ test score of 92 when the mean is 100 and the standard deviation is 15.

 

A.

0.53

 

B.

0.77

 

C.

−0.77

 

D.

−0.53

 

E.

−8.00

Z-score = (x − mean)/stddev = (92 − 100)/15 = −8/15 = −0.53

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

66.	Find the z-score for an IQ test score of 118 when the mean is 100 and the standard deviation is 15.

 

A.

1.2

 

B.

1.0

 

C.

18.0

 

D.

−1.03

 

E.

−1.2

Z-score = (x − mean)/stddev = (118 − 100)/15 = 18/15 = 1.2

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
67.	Find the z-score for an IQ test score of 125 when the mean is 100 and the standard deviation is 15.

 

A.

25

 

B.

1.1

 

C.

1.67

 

D.

−1.1

 

E.

−1.67

Z-score = (x − mean)/stddev = (125 − 100)/15 = 25/15 = 1.67

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

68.	Using Chebyshev’sTheorem, find the interval that contains at least 93.75 percentof all measurements when the mean = 2.549 and s = 1.828.

 

A.	[−2.935, 8.033]

 

B.	[−1.107, 6.205]

 

C.	[−26.699, 31.797]

 

D.	[2.435, 2.663]

 

E.	[−4.763, 9.861]

1 − (1/k²) = .9375; 1/k² = 1 − .9375; 1/k = √.0625; k = 4

AACSB: Analytical Thinking Blooms: Apply Difficulty: 3 Hard Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation
69.	According to a survey of the top 10 employers in a major city in the Midwest, a worker spends an average of 413 minutes a day on the job. Suppose the standard deviation is 26.8 minutes, and the time spent is approximately a normal distribution. What are the times within which approximately 68.26 percent of all workers will fall?

 

A.	[394.8, 431.2]

 

B.	[386.2, 439.8]

 

C.	[372.8, 453.2]

 

D.	[359.4, 466.6]

 

E.	[332.6, 493.4]

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation

 

70.

According to a survey of the top 10 employers in a major city in the Midwest, a worker spends an average of 413 minutes a day on the job. Suppose the standard deviation is 26.8 minutes and the time spent is approximately a normal distribution. What are the times within which approximately 99.73 percent of all workers will fall?

 

A.	[305.8, 520.2]

 

B.	[386.2, 439.8]

 

C.	[372.8, 453.2]

 

D.	[359.4, 466.6]

 

E.	[332.6, 493.4]

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation
71.	According to Chebyshev’s Theorem, at least what proportion of the data will be within μ ± kσfor k = 2?

 

A.

68%

 

B.

50%

 

C.

25%

 

D.

75%

 

E.

34%

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation

 

72.	According to Chebyshev’s Theorem, at least what proportion of the data will be within μ ± kσfor k = 1.6?

 

A.

39%

 

B.

58%

 

C.

68%

 

D.

61%

 

E.

92%

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation
73.	Using Chebyshev’s Theorem, approximate the minimum proportion of the data that will be within μ ± kσfor k = 3.2.

 

A.

90%

 

B.

95%

 

C.

84%

 

D.

97%

 

E.

10%

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation

 

74.	According to Chebyshev’sTheorem, a range of how many standard deviations would include at least 80 percentof the values?

 

A.

5.0

 

B.

2.2

 

C.

2.5

 

D.

1.6

 

E.

2.0

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 3 Hard Learning Objective: 03-03 Use the Empirical Rule and Chebyshev’s Theorem to describe variation. Topic: Measures of Variation
75.	In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the range?

 

A.

22.72

 

B.

12.00

 

C.

4.77

 

D.

516.20

 

E.

144.00

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

76.	In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the variance?

 

A.

22.72

 

B.

12.00

 

C.

4.77

 

D.

516.20

 

E.

144.00

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
77.	In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the standard deviation?

 

A.

22.72

 

B.

12.00

 

C.

4.77

 

D.

516.20

 

E.

144.00

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

78.	In a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are (mean = 70): 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. What is the range?

 

A.

18

 

B.

4.73

 

C.

22.40

 

D.

324

 

E.

6.76

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
79.	In a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are (mean = 70): 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. What is the variance?

 

A.

18

 

B.

4.73

 

C.

22.40

 

D.

324

 

E.

6.76

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

80.	In a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are (mean = 70): 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. What is the standard deviation?

 

A.

18

 

B.

4.73

 

C.

22.40

 

D.

324

 

E.

6.76

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

81.

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes;mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the range?

 

A.

103

 

B.

23.62

 

C.

557.97

 

D.

128.8

 

E.

115

Range = largest value − smallest value = 148 − 45 = 103

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

82.

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes;mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the variance?

 

A.

103

 

B.

23.62

 

C.

557.97

 

D.

128.8

 

E.

115

Variance = [Σ (x− mean)²]/(n − 1) =6695.69/12 = 557.97

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

83.

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes;mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the standard deviation?

 

A.

103

 

B.

23.62

 

C.

557.97

 

D.

128.8

 

E.

115

Std Dev = √Variance = √[(Σ (x− mean)²)/(n − 1)] = √(6695.69/12)= √557.97 = 23.62

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

84.	Quality control is an important issue at ACME Company, which manufactures light bulbs. To test the life-hours of their light bulbs, they randomly sampled nine light bulbs and measured how many hours they lasted (mean = 346.6). 378, 361, 350, 375, 200, 391, 375, 368, 321 What is the range?

 

A.

342.43

 

B.

3424.3

 

C.

58.5

 

D.

191

 

E.

10,609

Range = largest value − smallest value = 391 − 200 = 191

AACSB: Analytical Thinking Blooms: Apply Difficulty: 1 Easy Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
85.	Quality control is an important issue at ACME Company, which manufactures light bulbs. To test the life hours of their light bulbs, they randomly sampled nine light bulbs and measured how many hours they lasted (mean = 346.6). 378, 361, 350, 375, 200, 391, 375, 368, 321 What is the variance?

 

A.

342.43

 

B.

3424.3

 

C.

58.5

 

D.

191

 

E.

10,609

Variance = [Σ (x− mean)²]/(n − 1) =27,394.24/8 = 3424.28

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation

 

86.

Quality control is an important issue at ACME Company, which manufactures light bulbs. To test the life-hours of their light bulbs, they randomly sampled nine light bulbs and measured how many hours they lasted (mean = 346.6). 378, 361, 350, 375, 200, 391, 375, 368, 321 What is the standard deviation?

 

A.

342.43

 

B.

3424.3

 

C.

58.5

 

D.

191

 

E.

10,609

Std Dev = √Variance = √[(Σ (x− mean)²)/(n − 1)] = √(27,394.24/8) = √3424.28 = 58.5

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-02 Compute and interpret the range, variance, and standard deviation. Topic: Measures of Variation
87.	In a statistics class, 10 scores were randomly selected, with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the 90th percentile?

 

A.

77

 

B.

73

 

C.

74

 

D.

67

 

E.

65.9

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays

 

88.	In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the third quartile?

 

A.

65.9

 

B.

67.3

 

C.

66.75

 

D.

73.85

 

E.

77.0

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays
89.	In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the first quartile?

 

A.

65.9

 

B.

67.3

 

C.

67.0

 

D.

73.85

 

E.

77.0

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays

 

90.	In a statistics class, 10 scores were randomly selected, with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the 10th percentile?

 

A.

65.5

 

B.

67.3

 

C.

66.75

 

D.

73.85

 

E.

77.0

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays
91.	In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the 65th percentile?

 

A.

65.5

 

B.

67.3

 

C.

66.75

 

D.

74.0

 

E.

77.0

 

AACSB: Analytical Thinking Blooms: Apply Difficulty: 3 Hard Learning Objective: 03-04 Compute and interpret percentiles, quartiles, and box-and-whiskers displays. Topic: Percentiles, Quartiles, and Box-and-Whisker Displays