Business Statistics A Decision Making Approach 9th Edition by David F. Groebner – Test Bank
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Sample Test
Business Statistics, 9e (Groebner/Shannon/Fry)
Chapter 3 Describing Data Using Numerical Measures
1) If after graphing the data for a quantitative variable of
interest, you notice that the distribution is highly skewed in the positive
direction, the measure of central location that would likely provide the best
assessment of the center would be the median.
Answer: TRUE
Diff: 2
Keywords: skew, median, center
Section: 3-1 Measures of Center and Location
Outcome: 1
2) A statistic is just another name for a parameter.
Answer: FALSE
Diff: 1
Keywords: statistic, parameter
Section: 3-1 Measures of Center and Location
Outcome: 1
3) The owner of a local gasoline station has kept track of the
number of gallons of regular unleaded sold at his station every day since he
purchased the station. This morning, he computed the mean number of gallons.
This value would be considered a statistic.
Answer: FALSE
Diff: 2
Keywords: statistic, parameter
Section: 3-1 Measures of Center and Location
Outcome: 1
4) The Parks and Recreation manager for the city of Detroit
recently submitted a report to the city council in which he indicated that a
random sample of 500 park users indicated that the average number of visits per
month was 4.56. This value should be viewed as a statistic by the city council.
Answer: TRUE
Diff: 2
Keywords: statistic, parameter, average
Section: 3-1 Measures of Center and Location
Outcome: 1
5) A statistic is a value that describes a population
characteristic while a parameter is computed from a sample.
Answer: FALSE
Diff: 2
Keywords: statistic, parameter
Section: 3-1 Measures of Center and Location
Outcome: 1
6) The symbol μ is used to represent the sample mean.
Answer: FALSE
Diff: 1
Keywords: measure, spread, mean
Section: 3-1 Measures of Center and Location
Outcome: 1
7) The marketing manager for Voice-talk, a cell phone company,
has taken a sample of 300 customers from the list of 4,356 total customers. The
mean monthly bill for the last October based on the sample data is $45.62. The
manager should realize that the mean bill for all 4,356 customers will actually
be higher than $45.62.
Answer: FALSE
Diff: 2
Keywords: sample, mean
Section: 3-1 Measures of Center and Location
Outcome: 1
8) You are given the following data:
23
34
11
40 25
If these data were considered to be a population and you
computed the mean, you would get the same answer as if these data were
considered to be a sample from a larger population.
Answer: TRUE
Diff: 2
Keywords: population, mean, sample
Section: 3-1 Measures of Center and Location
Outcome: 1
9) You are given the following data:
23
34
11
40 25
47
Assuming that the data reflect a sample from a larger
population, the sample mean is 30.00.
Answer: TRUE
Diff: 1
Keywords: sample, mean, population
Section: 3-1 Measures of Center and Location
Outcome: 1
10) You are given the following data:
23
34
11
40 25
47
Assuming that the data reflect the population of interest, the
mean of the population is 36.00.
Answer: FALSE
Diff: 1
Keywords: mean, population
Section: 3-1 Measures of Center and Location
Outcome: 1
11) Data are considered to be right-skewed when the mean lies to
the right of the median.
Answer: TRUE
Diff: 1
Keywords: skewed, skew, mean, median
Section: 3-1 Measures of Center and Location
Outcome: 1
12) The sample mean is an estimate of μ and may be either higher
or lower than μ depending on the sample.
Answer: TRUE
Diff: 2
Keywords: mean, sample, population
Section: 3-1 Measures of Center and Location
Outcome: 1
13) When news articles report on household income level they
usually report the median income, rather than the mean income. This would be
because income is usually a right-skewed distribution.
Answer: TRUE
Diff: 2
Keywords: mean, median, skewed
Section: 3-1 Measures of Center and Location
Outcome: 1
14) You are given the following data:
9
11
14
22 31
Assuming that these data reflect the population of
interest, these data can be considered symmetric.
Answer: FALSE
Diff: 2
Keywords: mean, median, symmetric
Section: 3-1 Measures of Center and Location
Outcome: 1
15) You are given the following data:
23 34
11
40
25 47
Assuming that these data are a sample selected from a larger
population, the median value for these sample data is 25.5.
Answer: FALSE
Diff: 2
Keywords: median, sample
Section: 3-1 Measures of Center and Location
Outcome: 1
16) A distribution is said to be symmetric when the sample mean
and the population mean are equal.
Answer: FALSE
Diff: 2
Keywords: mean, sample, population, symmetric
Section: 3-1 Measures of Center and Location
Outcome: 1
17) In a recent study of the sales prices of houses in a
Midwestern city, the mean sales price has been reported to be $167,811 while
the median sales price was $155,600. From this information, you can determine
that the data involved in the study are left-skewed.
Answer: FALSE
Diff: 2
Keywords: mean, median, skew, skewed
Section: 3-1 Measures of Center and Location
Outcome: 1
18) One of the primary advantages of using the median as a
measure of the center for a set of data is that the median is not affected by
extreme values in the data.
Answer: TRUE
Diff: 1
Keywords: median, center, extreme
Section: 3-1 Measures of Center and Location
Outcome: 1
19) Suppose a study of houses that have sold recently in your
community showed the following frequency distribution for the number of
bedrooms:
Bedrooms
Frequency
1
1
2
18
3
140
4
57
5
11
Based on this information, the mode for the data is 140.
Answer: FALSE
Diff: 2
Keywords: mode, frequency
Section: 3-1 Measures of Center and Location
Outcome: 1
20) Suppose a study of houses that have sold recently in your
community showed the following frequency distribution for the number of
bedrooms:
Bedrooms
Frequency
1
1
2
18
3
140
4
57
5
11
Based on this information the mean number of bedrooms in houses
that sold is approximately 3.26.
Answer: TRUE
Diff: 2
Keywords: mean, weighted
Section: 3-1 Measures of Center and Location
Outcome: 1
21) Suppose a study of houses that have sold recently in your
community showed the following frequency distribution for the number of
bedrooms:
Bedrooms
Frequency
1
1
2
18
3
140
4
57
5
11
Based on this information, the median number of bedrooms in
houses sold is 3.20.
Answer: FALSE
Diff: 2
Keywords: median
Section: 3-1 Measures of Center and Location
Outcome: 1
22) Suppose a study of houses that have sold recently in your
community showed the following frequency distribution for the number of
bedrooms:
Bedrooms
Frequency
1
1
2
18
3
140
4
57
5
11
Based on this information, it is possible to determine that the
distribution of bedrooms in homes sold is right-skewed.
Answer: TRUE
Diff: 3
Keywords: mean, median, skew, skewed
Section: 3-1 Measures of Center and Location
Outcome: 1
23) A data set in which the mean, median, and mode are all equal
is said to be a skewed distribution.
Answer: FALSE
Diff: 1
Keywords: mean, median, mode, symmetric, skewed
Section: 3-1 Measures of Center and Location
Outcome: 1
24) First Pacific Bank has determined that the mean checking
account balance for all its customers is currently $743.50. Based on this, it
is fair to say that about half the customers have balances exceeding $743.50.
Answer: FALSE
Diff: 2
Keywords: mean, median
Section: 3-1 Measures of Center and Location
Outcome: 1
25) When analyzing annual incomes of adults in a market area,
the marketing manager’s report indicated that the 90th percentile is $123,400.
That means that 90 percent of the adult incomes in the market area fall at or
below $123,400.
Answer: TRUE
Diff: 1
Keywords: percentile
Section: 3-1 Measures of Center and Location
Outcome: 1
26) When the median of a data set is 110 and the mean is 127,
the percentile associated with the mean must be higher than 50 percent.
Answer: TRUE
Diff: 2
Keywords: mean, median, percentile
Section: 3-1 Measures of Center and Location
Outcome: 1
27) The second quartile for a set of data will have the same
value as the 50th percentile only when the data are symmetric.
Answer: FALSE
Diff: 2
Keywords: quartile, percentile, symmetric
Section: 3-1 Measures of Center and Location
Outcome: 1
28) If a set of data has 1,500 values, the 30th percentile value
will correspond to the 450th value in the data when the data have been arranged
in numerical order.
Answer: TRUE
Diff: 3
Keywords: percentile, location
Section: 3-1 Measures of Center and Location
Outcome: 1
29) If a set of data has 540 values, the 3rd quartile
corresponds to approximately the 135th value when the data have been arranged
in numerical order.
Answer: FALSE
Diff: 3
Keywords: quartile, percentile, location
Section: 3-1 Measures of Center and Location
Outcome: 1
30) A set of data is considered to be symmetric if the 3rd
quartile is three times larger than the 1st quartile.
Answer: FALSE
Diff: 2
Keywords: quartile, percentile, symmetric
Section: 3-1 Measures of Center and Location
Outcome: 1
31) If the mean value of a variable is 200 and the median is
150, the third quartile must be at least 200.
Answer: FALSE
Diff: 2
Keywords: mean, median, quartile
Section: 3-1 Measures of Center and Location
Outcome: 1
32) Recently an article in a newspaper stated that 75 percent of
the households in the state had incomes of $20,200 or below. Given this input,
it is certain that mean household income is less than $20,200.
Answer: FALSE
Diff: 3
Keywords: mean, percentile
Section: 3-1 Measures of Center and Location
Outcome: 1
33) It is possible for a set of data to have multiple modes as
well as multiple medians, but there can be only one mean.
Answer: FALSE
Diff: 2
Keywords: mean, median, mode
Section: 3-1 Measures of Center and Location
Outcome: 1
34) A box and whisker plot shows where the mean value falls
relative to the median for a variable.
Answer: FALSE
Diff: 1
Keywords: box, whisker, mean, median
Section: 3-1 Measures of Center and Location
Outcome: 2
35) The right and left edges of the box in a box and whisker
plot represent the 3rd and 1st quartiles, respectively.
Answer: TRUE
Diff: 1
Keywords: quartile, box, whisker, edge
Section: 3-1 Measures of Center and Location
Outcome: 2
36) A recent study involving a sample of 3,000 vehicles in
California showed the following statistics related to the number of miles
driven per day: Q1 = 12, Q2 = 45, and Q3 = 56. Based on these data, we
know that the distribution is skewed.
Answer: TRUE
Diff: 3
Keywords: quartile, skew, skewed, median
Section: 3-1 Measures of Center and Location
Outcome: 1
37) A recent study involving a sample of 3,000 vehicles in
California showed the following statistics related to the number of miles
driven per day: Q1 = 12, Q2 = 45, and Q3 = 56. Based on these data, if a
box and whisker plot is developed, a value of 110 is an outlier.
Answer: FALSE
Diff: 3
Keywords: box, whisker, limit
Section: 3-1 Measures of Center and Location
Outcome: 2
38) A recent study involving a sample of 3,000 vehicles in
California showed the following statistics related to the number of miles driven
per day: Q1 = 12, Q2 = 45, and Q3 = 56. Based on these data, if a box and
whisker plot is developed, the upper limit value is 122 miles.
Answer: TRUE
Diff: 3
Keywords: box, whisker, limit
Section: 3-1 Measures of Center and Location
Outcome: 2
39) In drawing a box and whisker plot the upper limit length of
the whiskers is 1.5(Q3-Q1).
Answer: TRUE
Diff: 2
Keywords: box, whisker, limit
Section: 3-1 Measures of Center and Location
Outcome: 2
40) When surveyed, a sample of 1,250 patients at a regional
hospital provided interviewers with the following summary statistics pertaining
to the hospital charges:
Minimum = $278.00 Q1 = $1,245 Q2 =
$3,567 Q3= $4,702.
Based on these data, if you were to construct a box and whisker
plot, the value corresponding to the right-hand edge of the box would be
$4,702.
Answer: TRUE
Diff: 2
Keywords: box, whisker, edge
Section: 3-1 Measures of Center and Location
Outcome: 2
41) When surveyed, a sample of 1,250 patients at a regional
hospital provided interviewers with the following summary statistics pertaining
to the hospital charges:
Minimum = $278.00 Q1 = $1,245 Q2 =
$3,567 Q3= $4,702.
Based on these data, if you were to construct a box and whisker
plot, the value $278 would be considered an outlier.
Answer: FALSE
Diff: 3
Keywords: box, whisker, outlier
Section: 3-1 Measures of Center and Location
Outcome: 2
42) When surveyed, a sample of 1,250 patients at a regional
hospital provided interviewers with the following summary statistics pertaining
to the hospital charges:
Minimum = $278.00 Q1 = $1,245 Q2 =
$3,567 Q3= $4,702.
Based on these data, the distribution is seen to be symmetric.
Answer: FALSE
Diff: 2
Keywords: median, quartile, symmetric
Section: 3-1 Measures of Center and Location
Outcome: 1
43) A dairy farm in Wisconsin bottles milk in one gallon
containers. At a recent meeting, the production manager asked top management
for a new filling machine that he argued would assure that all containers had
exactly one gallon of milk. Based on sound statistical principles, the top
management group should conclude that the production manager could have merit
to his argument.
Answer: FALSE
Diff: 2
Keywords: variation
Section: 3-2 Measures of Variation
Outcome: 3
44) The range is an ideal measure of variation since it is not
sensitive to extreme values in the data.
Answer: FALSE
Diff: 1
Keywords: range, variation, sensitive
Section: 3-2 Measures of Variation
Outcome: 3
45) When a variance is calculated for a data set, the resulting
value is the same regardless of whether the data set is treated as a population
or a sample.
Answer: FALSE
Diff: 1
Keywords: variance, population, sample
Section: 3-2 Measures of Variation
Outcome: 3
46) The Good-Guys Car Dealership has tracked the number of used
cars sold at its downtown dealership. Consider the following data as
representing the population of cars sold in each of the 8 weeks that the
dealership has been open.
3
5
2
7
7
7
9
0
The population range is 9.
Answer: TRUE
Diff: 1
Keywords: range, population
Section: 3-2 Measures of Variation
Outcome: 3
47) The Good-Guys Car Dealership has tracked the number of used
cars sold at its downtown dealership. Consider the following data as
representing the population of cars sold in each of the 8 weeks that the
dealership has been open.
3
5
2
7
7
7
9
0
The population variance is approximately 9.43.
Answer: FALSE
Diff: 2
Keywords: population, variance
Section: 3-2 Measures of Variation
Outcome: 3
48) The Good-Guys Car Dealership has tracked the number of used
cars sold at its downtown dealership. Consider the following data as
representing the population of cars sold in each of the 8 weeks that the
dealership has been open.
3
5
2
7
7
7
9
0
The population standard deviation is approximately 2.87 cars.
Answer: TRUE
Diff: 2
Keywords: population, standard, deviation
Section: 3-2 Measures of Variation
Outcome: 3
49) One of the reasons that the standard deviation is preferred
as a measure of variation over the variance is that the standard deviation is
measured in the original units.
Answer: TRUE
Diff: 1
Keywords: standard, deviation, variation, units
Section: 3-2 Measures of Variation
Outcome: 3
50) The interquartile range is the difference between the mean
and the median.
Answer: FALSE
Diff: 1
Keywords: interquartile range, median, mean
Section: 3-2 Measures of Variation
Outcome: 3
51) A store manager tracks the number of customer complaints
each week. The following data reflect a random sample of ten weeks.
11
19
4
6
8
9
6
4
0
3
The range for these data is 8.
Answer: FALSE
Diff: 1
Keywords: range, variation
Section: 3-2 Measures of Variation
Outcome: 3
52) A store manager tracks the number of customer complaints
each week. The following data reflect a random sample of ten weeks.
11
19
4
6
8
9
6
4
0
3
The variance for these data is approximately 27.78.
Answer: TRUE
Diff: 2
Keywords: sample, variance
Section: 3-2 Measures of Variation
Outcome: 3
53) A store manager tracks the number of customer complaints
each week. The following data reflect a random sample of ten weeks.
11
19
4
6
8
9
6
4
0
3
The standard deviation for these data is approximately 27.78.
Answer: FALSE
Diff: 2
Keywords: standard, deviation, sample
Section: 3-2 Measures of Variation
Outcome: 3
54) The interquartile range contains the middle 50 percent of a
data set.
Answer: TRUE
Diff: 2
Keywords: interquartile range
Section: 3-2 Measures of Variation
Outcome: 3
55) For a given set of data, if the data are treated as a
population, the calculated standard deviation will be less than it would be had
the data been treated as a sample.
Answer: TRUE
Diff: 2
Keywords: sample, standard, deviation, population
Section: 3-2 Measures of Variation
Outcome: 3
56) If a population standard deviation is computed to be 345, it
will almost always be the case that a standard deviation computed from a random
sample from that population will be larger than 345.
Answer: TRUE
Diff: 2
Keywords: population, sample, standard, deviation
Section: 3-2 Measures of Variation
Outcome: 3
57) The advantage of using the interquartile range as a measure
of variation is that it utilizes all the data in its computation.
Answer: FALSE
Diff: 2
Keywords: variation, interquartile, range
Section: 3-2 Measures of Variation
Outcome: 3
58) Suppose the standard deviation for a given sample is known
to be 20. If the data in the sample are doubled, the standard deviation will be
40.
Answer: FALSE
Diff: 3
Keywords: standard, deviation
Section: 3-2 Measures of Variation
Outcome: 3
59) Populations with larger means will also have larger standard
deviations since the data will be more spread out for populations with larger
means.
Answer: FALSE
Diff: 2
Keywords: mean, standard deviation
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 4
60) In comparing two distributions with the same mean, the coefficient
of variation is the only way to assess which distribution has the greatest
relative variability.
Answer: FALSE
Diff: 1
Keywords: mean, coefficient, variation
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 4
61) Consider a situation involving two populations where
population 1 is known to have a higher coefficient of variation than population
2. In this situation, we know that population 1 has a higher standard deviation
than population 2.
Answer: FALSE
Diff: 2
Keywords: coefficient, variation, standard deviation
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 4
62) Acme Taxi has two taxi cabs. The manager tracks the daily
revenue for each cab. Over the past 20 days, Cab A has averaged $76.00 per
night with a standard deviation equal to $11.00. Cab B has averaged $200.00 per
night with a standard deviation of $18.00. Based on this information, Cab B has
the greatest relative variation.
Answer: FALSE
Diff: 3
Keywords: standard deviation, relative variation,
coefficient of variation
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 4
63) Acme Taxi has two taxi cabs. The manager tracks the daily
revenue for each cab. Over the past 20 days, Cab A has averaged $76.00 per night
with a standard deviation equal to $11.00. Cab B has averaged $200.00 per night
with a standard deviation of $18.00. Based on this information, the coefficient
of variation for Cab B is 9 percent.
Answer: TRUE
Diff: 2
Keywords: standard deviation, relative variation,
coefficient of variation
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 4
64) Based on the empirical rule we can assume that all
bell-shaped distributions have approximately 95 percent of the values within ±
2 standard deviations of the mean.
Answer: TRUE
Diff: 1
Keywords: empirical rule
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 5
65) Suppose a distribution has a mean of 80 and standard
deviation of 10. It is found that 84 percent of the values in the data set lie
between 70 and 90. This implies that the distribution is not bell-shaped.
Answer: TRUE
Diff: 2
Keywords: mean, standard deviation, empirical rule
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 5
66) The credit card balances for customers at State Bank and
Trust has a mean equal to $800 and a standard deviation equal to $60.00. Kevin
Smith’s balance is $1,352. Based on this, his standardized value is 9.20.
Answer: TRUE
Diff: 2
Keywords: mean, standard deviation, z score, standardized
value
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 4
67) Based on the empirical rule we can expect about 95 percent
of the values in bell-shaped distributions to be within ± one standard
deviation of the mean.
Answer: FALSE
Diff: 1
Keywords: mean, standard deviation, empirical rule
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 5
68) A major automobile maker has two models of sedans. The first
model has been shown to get an average of 27 mpg on the highway with a standard
deviation equal to 5 mpg. The second model gets 33 mpg on average with a
standard deviation of 8 mpg. Based on this information the first car model is
relatively more variable than the second car model.
Answer: FALSE
Diff: 2
Keywords: mean, standard deviation, coefficient of
variation, relative variation
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 4
69) The distribution of bankcard balances for customers is
highly right-skewed with a mean of $1,100 and a standard deviation equal to
$250. Based on this information, approximately 68 percent of the customers will
have bank balances between $850 and $1,350.
Answer: FALSE
Diff: 2
Keywords: skewed, mean, standard deviation, Tchebysheff
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 5
70) The distribution of dollars paid for car insurance by car
owners in a major east coast city is bell-shaped with a mean equal to $750
every six months and a standard deviation equal to $100. Based on this
information we should use Tchebysheff’s theorem to determine the conservative
percentage of car owners that will pay between $550 and $950 for car insurance.
Answer: FALSE
Diff: 2
Keywords: mean, standard deviation, Tchebysheff
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 5
71) A population measure, such as the population mean, is called
a:
1. A)
statistic.
2. B)
parameter.
3. C)
prime number.
4. D)
sample value.
Answer: B
Diff: 1
Keywords: population, parameter
Section: 3-1 Measures of Center and Location
Outcome: 1
72) If a business manager selected a sample of customers and
computed the mean income for this sample of customers, she has computed:
1. A) a
statistic.
2. B) an
ordinal value.
3. C) a
nominal value.
4. D) a
parameter.
Answer: A
Diff: 1
Keywords: sample, statistic
Section: 3-1 Measures of Center and Location
Outcome: 1
73) Which of the following statements is true?
1. A)
The mean of a population will always be larger than the population standard
deviation.
2. B)
The mean of the population will generally be larger than the mean of the sample
selected from that population.
3. C)
The population mean and a sample mean for a sample selected from that
population will usually be different values.
4. D)
The population mean and sample mean will always be identical.
Answer: C
Diff: 2
Keywords: population, sample, mean
Section: 3-1 Measures of Center and Location
Outcome: 1
74) The most frequently used measure of central tendency is:
1. A)
median.
2. B)
mean.
3. C)
mode.
4. D)
middle value.
Answer: B
Diff: 1
Keywords: central tendency, mean
Section: 3-1 Measures of Center and Location
Outcome: 1
75) Consider the following sample data:
25
11 6
4
2
17
9
6
For these data the sample mean is:
1. A) 8
2. B) 10
3. C) 3
4. D) 12
Answer: B
Diff: 1
Keywords: sample, mean
Section: 3-1 Measures of Center and Location
Outcome: 1
76) Consider the following sample data:
25
11
6
4
2
17
9
6
For these data the median is:
7. A)
7.5
8. B)
3.5
9. C) 10
10.
D) None of the above
Answer: A
Diff: 2
Keywords: sample, median
Section: 3-1 Measures of Center and Location
Outcome: 1
77) A small company has 7 employees. The numbers of years these
employees have worked for this company are shown as follows:
4
14
3
16
9
8
16
Based upon this information, the mean number of years that
employees have been with this company is:
1. A) 16
2. B)
3. C)
8.40
4. D) 10
Answer: D
Diff: 1
Keywords: population, mean
Section: 3-1 Measures of Center and Location
Outcome: 1
78) A small company has 7 employees. The numbers of years these
employees have worked for this company are shown as follows:
4
14
3
16
9
8
16
Based upon this information, the median number of years that
employees have been with this company is:
1. A) 9
years.
2. B) 16
years.
3. C) 10
years.
4. D) 14
years.
Answer: A
Diff: 2
Keywords: population, median
Section: 3-1 Measures of Center and Location
Outcome: 1
79) A small company has 7 employees. The numbers of years these
employees have worked for this company are shown as follows:
4
14
3
16
9
8
16
Based upon this information, the mode number of years that
employees have been with this company is:
1. A) 16
2. B) 2
3. C) 9
4. D) 10
Answer: A
Diff: 1
Keywords: population, mode
Section: 3-1 Measures of Center and Location
Outcome: 1
80) A sample of people who have attended a college football game
at your university has a mean = 3.2 members in their family. The mode number of
family members is 2 and the median number is 2.0. Based on this information:
3. A)
the population mean exceeds 3.2.
4. B)
the distribution is bell-shaped.
5. C)
the distribution is right-skewed.
6. D)
the distribution is left-skewed.
Answer: C
Diff: 2
Keywords: skewed, mean, median
Section: 3-1 Measures of Center and Location
Outcome: 1
81) A major retail store has studied customer behavior and found
that the distribution of time customers spend in a store per visit is symmetric
with a mean equal to 17.3 minutes. Based on this information, which of the
following is true?
1. A)
The distribution is right-skewed.
2. B)
The median is to the right of the mean.
3. C)
The median is approximately 17.3 minutes.
4. D)
The median is to the left of the mean.
Answer: C
Diff: 1
Keywords: symmetric, mean, median
Section: 3-1 Measures of Center and Location
Outcome: 1
82) A large retail company gives an employment screening test to
all prospective employees. Franklin Gilman recently took the test and it was
reported back to him that his score placed him at the 80th percentile.
Therefore:
1. A) 80
people who took the test scored below Franklin.
2. B)
Franklin scored as high or higher than 80 percent of the people who took the
test.
3. C)
Franklin was in the bottom 20 percent of those that have taken the test.
4. D)
Franklin’s score has a z-score of 80.
Answer: B
Diff: 2
Keywords: percentile
Section: 3-1 Measures of Center and Location
Outcome: 1
83) A large retail company gives an employment screening test to
all prospective employees. If a prospective employee receives a report saying
that she scored at the 40th percentile:
1. A)
she scored above the median.
2. B)
she scored better than 40 percent of people who took the test.
3. C)
she scored in the top 40 percent of people who took the test.
4. D)
her z-score was a 40.
Answer: B
Diff: 2
Keywords: percentile, median
Section: 3-1 Measures of Center and Location
Outcome: 1
84) If a data set has 740 values that have been sorted from low
to high, which value in the data set will be the 20th percentile?
1. A)
The average of the 148th and 149th values
2. B)
The 20th value
3. C)
The 148th value
4. D)
None of the above
Answer: A
Diff: 2
Keywords: percentile, location
Section: 3-1 Measures of Center and Location
Outcome: 1
85) If a data set has 1,133 sorted values, what value
corresponds to the 3rd quartile?
1. A)
The 250th value
2. B)
The 850th value
3. C)
The 760th value
4. D)
The 849th value
Answer: B
Diff: 2
Keywords: percentile, quartile, value
Section: 3-1 Measures of Center and Location
Outcome: 1
86) At a sawmill in Oregon, a process improvement team measured
the diameters for a sample of 1,500 logs. The following summary statistics were
computed:
Given this information, the boundaries on the box in a box and
whisker plot are:
8. A)
8.9 in and 15.6 in.
9. B)
13.5 in ± 1.5 (Q3-Q1).
10.
C) 14.2 in ± 1.5 (Q3-Q1).
11.
D) 8.9 in and 14.2 in.
Answer: A
Diff: 2
Keywords: box, whisker, plot, boundary
Section: 3-1 Measures of Center and Location
Outcome: 2
87) At a sawmill in Oregon, a process improvement team measured
the diameters for a sample of 1,500 logs. The following summary statistics were
computed:
Given this information, in a box and whisker plot, which of these
four values will NOT appear?
8. A)
8.9 in.
9. B)
13.5 in.
10.
C) 15.6 in.
11.
D) 14.2 in.
Answer: D
Diff: 2
Keywords: box, whisker, plot
Section: 3-1 Measures of Center and Location
Outcome: 2
88) At a sawmill in Oregon, a process improvement team measured
the diameters for a sample of 1,500 logs. The following summary statistics were
computed:
Given this information, which of the following statements is
correct?
1. A)
The distribution of log diameters is symmetric.
2. B) A
log that is over 20 inches in diameter can be considered an outlier.
3. C)
The distribution of log diameters is right-skewed.
4. D)
The distribution is left-skewed.
Answer: C
Diff: 2
Keywords: skewed, mean, median, quartile
Section: 3-1 Measures of Center and Location
Outcome: 1
89) At a sawmill in Oregon, a process improvement team measured
the diameters for a sample of 1,500 logs. The following summary statistics were
computed:
Given this information, for a box and whisker plot which of the
following statements is appropriate?
8. A)
Seventy-five percent of the trees in the sample have values between 8.9 in. and
15.6 in.
9. B)
Virtually all of the data should fall between 0 in. and 25.65 in.
10.
C) No tree will have a diameter of more than 22.3 in.
11.
D) Fifty percent of the trees will have diameters between 13.5
in. and 15.6 in.
Answer: B
Diff: 3
Keywords: box, whisker, outlier
Section: 3-1 Measures of Center and Location
Outcome: 2
90) If a distribution for a quantitative variable is thought to
be nearly symmetric with very little variation, and a box and whisker plot is
created for this distribution, which of the following is true?
1. A)
The box will be quite wide but the whisker will be very short.
2. B)
The left and right-hand edges of the box will be approximately equal distance
from the median.
3. C)
The whiskers should be about half as long as the box is wide.
4. D)
The upper whisker will be much longer than the lower whisker.
Answer: B
Diff: 2
Keywords: box, whisker, symmetric, median
Section: 3-1 Measures of Center and Location
Outcome: 2
91) The box and whisker plot CANNOT be used to identify:
1. A)
skewedness.
2. B)
centerness.
3. C)
outliers.
4. D)
symmetry.
Answer: B
Diff: 3
Keywords: box, whisker, outlier
Section: 3-1 Measures of Center and Location
Outcome: 2
92) For ordinal data, ________ is the preferred measure of
central location.
1. A)
the mean
2. B)
the median
3. C)
the percentile
4. D)
the quartile
Answer: B
Diff: 3
Keywords: mean, median, percentile, quartile
Section: 3-1 Measures of Center and Location
Outcome: 1
93) Which of the following is the most frequently used measure
of variation?
1. A)
The range
2. B)
The standard deviation
3. C)
The variance
4. D)
The mode
Answer: B
Diff: 1
Keywords: variation, standard deviation
Section: 3-2 Measures of Variation
Outcome: 3
94) Which of the following measures is not affected by extreme
values in the data?
1. A)
The mean
2. B)
The median
3. C)
The range
4. D)
The standard deviation
Answer: B
Diff: 2
Keywords: extreme, insensitive, median
Section: 3-2 Measures of Variation
Outcome: 3
95) The following data reflect the number of customers who test
drove new cars each day for a sample of 20 days at the Redfield Ford
Dealership.
5
7
2
9
4
9
7
10
4
7
5
6
4
0
7
6
3
4
14 6
Given these data, what is the range?
1. A) 14
2. B) 1
3. C)
Approximately 3.08
4. D)
5.95
Answer: A
Diff: 1
Keywords: range, sample
Section: 3-2 Measures of Variation
Outcome: 3
96) The following data reflect the number of customers who test
drove new cars each day for a sample of 20 days at the Redfield Ford
Dealership.
5
7
2
9
4
9
7
10
4
7
5
6
4
0
7
6
3
4
14 6
Given these data, what is the variance?
1. A)
0.69
2. B) Approximately
3.08
3. C)
Approximately 9.52
4. D)
Approximately 181
Answer: C
Diff: 2
Keywords: variance, sample
Section: 3-2 Measures of Variation
Outcome: 3
97) The following data reflect the number of customers who test
drove new cars each day for a sample of 20 days at the Redfield Ford
Dealership.
5
7
2
9
4
9
7
10
4
7
5
6
4
0
7
6
3
4
14 6
Given these data, what is the interquartile range?
1. A) 3
2. B) 7
3. C) 4
4. D) 14
Answer: A
Diff: 3
Keywords: interquartile range, sample
Section: 3-2 Measures of Variation
Outcome: 3
98) The advantage of using the interquartile range versus the
range as a measure of variation is:
1. A) it
is easier to compute.
2. B) it
utilizes all the data in its computation.
3. C) it
gives a value that is closer to the true variation.
4. D) it
is less affected by extremes in the data.
Answer: D
Diff: 1
Keywords: range, variation, interquartile range
Section: 3-2 Measures of Variation
Outcome: 3
99) The following data reflect the number of customers who
return merchandise for a refund on Monday. Note these data reflect the
population of all 10 Mondays for which data are available.
40
12
17
25 9
46
13
22
16 7
Based on these data, what is the standard deviation?
13.
A) 13.03
14.
B) 12.36
15.
C) 39
16.
D) 152.8
Answer: B
Diff: 2
Keywords: population, standard deviation
Section: 3-2 Measures of Variation
Outcome: 3
100) The following data reflect the number of customers who
return merchandise for a refund on Monday. Note these data reflect the
population of all 10 Mondays for which data are available.
40
12
17
25 9
46
13
22
16 7
Assume that this same exact pattern of data were replicated for
the next ten days. How would this affect the standard deviation for the new
population with 20 items?
1. A)
The standard deviation would be doubled.
2. B)
The standard deviation would be cut in half.
3. C)
The standard deviation would not be changed.
4. D)
There is no way of knowing the exact impact without knowing how the mean is
changed.
Answer: C
Diff: 3
Keywords: standard deviation, population
Section: 3-2 Measures of Variation
Outcome: 3
101) In order to compute the mean and standard deviation, the
level of data measurement should be:
1. A) ratio
or interval.
2. B)
qualitative.
3. C)
nominal.
4. D)
ordinal.
Answer: A
Diff: 1
Keywords: mean, standard deviation, ratio, interval
Section: 3-2 Measures of Variation
Outcome: 3
102) Consider the following data, which represent the number of
miles that employees commute from home to work each day. There are two samples:
one for males and one for females.
Males:
13
5
2
23
14 5
Females:
15
6
3
2
4
6
Which of the following statements is true?
1. A)
The female distribution is more variable since the range for the females is
greater than for the males.
2. B)
Females in the sample commute farther on average than do males.
3. C) The
males in the sample commute farther on average than the females.
4. D)
Males and females on average commute the same distance.
Answer: C
Diff: 2
Keywords: range, mean
Section: 3-2 Measures of Variation
Outcome: 3
103) Consider the following data, which represent the number of
miles that employees commute from home to work each day. There are two samples:
one for males and one for females.
Males:
13
5
2
23
14 5
Females:
15 6
3
2
4
6
The coefficient of variation of commute miles for the males is:
1. A)
approximately 76 percent.
2. B)
about 7.8.
3. C)
approximately 61.5.
4. D)
about 67 percent.
Answer: A
Diff: 2
Keywords: coefficient of variation, mean, standard
deviation
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 4
104) Consider the following data, which represent the number of
miles that employees commute from home to work each day. There are two samples:
one for males and one for females.
Males:
13
5
2
23
14 5
Females:
15
6
3
2
4
6
Which of the following statements is true?
1. A) Females
have the larger mean.
2. B)
The coefficient of variation is larger for females than for males.
3. C)
The coefficient of variation is larger for males than for females.
4. D)
Females have the larger range.
Answer: B
Diff: 2
Keywords: sample, coefficient of variation, relative
variability
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 4
105) If the age distribution of customers at a major retail
chain is thought to be bell-shaped with a mean equal to 43 years and a standard
deviation equal to 7 years, the percentage of customers between the ages of 29
and 57 years is:
81.
A) approximately 81.5.
82.
B) approximately 68.
83.
C) at least 75.
84.
D) approximately 95.
Answer: D
Diff: 1
Keywords: empirical rule, distribution
Section: 3-3 Using the Mean and Standard Deviation
Together
Outcome: 5
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