3.65 One of the major measures of the quality of service provided by an organization is the speed with which it responds to customer complaints. A large family-held department store selling furniture and flooring, including carpet, had undergone a major expansion in the past several years. In particular, the flooring department had expanded from 2 installation crews to an installation supervisor, a measurer, and 15 installation crews. The business objective of the company was to reduce the time between when a complaint is received and when it is resolved. During a recent year, the com- pany received 50 complaints concerning carpet installation. The data from the 50 complaints, organized in Furniture, represent the number of days between the receipt of a complaint and the resolu- tion of the complaint: 11 54 5 35 137 31 27 152 2 19 126 110 110 29 61 165 32 29 28 29 26 35 94 123 81 74 27 31 26 5 12 4 5 25 1 14 13 13 10 27 4 52 30 22 36 26 20 23 33 68 a. Compute the mean, median, first quartile, and third quartile. b. Compute the range, interquartile range, variance, standard devi- ation, and coefficient of variation. c. Construct a boxplot. Are the data skewed? If so, how? d. On the basis of the results of (a) through (c), if you had to tell the president of the company how long a customer should expect to wait to have a complaint resolved, what would you say? Explain.

Linear Algebra: A Modern Introduction
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3.65 One of the major measures of the quality of service provided
by an organization is the speed with which it responds to customer
complaints. A large family-held department store selling furniture
and flooring, including carpet, had undergone a major expansion
in the past several years. In particular, the flooring department had
expanded from 2 installation crews to an installation supervisor,
a measurer, and 15 installation crews. The business objective of
the company was to reduce the time between when a complaint is
received and when it is resolved. During a recent year, the com-
pany received 50 complaints concerning carpet installation. The
data from the 50 complaints, organized in Furniture, represent the
number of days between the receipt of a complaint and the resolu-
tion of the complaint:
54 5
123 81 74 27
11
35 137 31 27 152 2
19 126 110 110 29 61 35 94 31 26 5 12 4
165 32 29 28 29 26 25 1 14 13 13 10 5
27 4 52 30 22 36 26 20 23 33 68
a. Compute the mean, median, first quartile, and third quartile.
b. Compute the range, interquartile range, variance, standard devi-
ation, and coefficient of variation.
c. Construct a boxplot. Are the data skewed? If so, how?
d. On the basis of the results of (a) through (c), if you had to tell the
president of the company how long a customer should expect to
wait to have a complaint resolved, what would you say? Explain.
Transcribed Image Text:3.65 One of the major measures of the quality of service provided by an organization is the speed with which it responds to customer complaints. A large family-held department store selling furniture and flooring, including carpet, had undergone a major expansion in the past several years. In particular, the flooring department had expanded from 2 installation crews to an installation supervisor, a measurer, and 15 installation crews. The business objective of the company was to reduce the time between when a complaint is received and when it is resolved. During a recent year, the com- pany received 50 complaints concerning carpet installation. The data from the 50 complaints, organized in Furniture, represent the number of days between the receipt of a complaint and the resolu- tion of the complaint: 54 5 123 81 74 27 11 35 137 31 27 152 2 19 126 110 110 29 61 35 94 31 26 5 12 4 165 32 29 28 29 26 25 1 14 13 13 10 5 27 4 52 30 22 36 26 20 23 33 68 a. Compute the mean, median, first quartile, and third quartile. b. Compute the range, interquartile range, variance, standard devi- ation, and coefficient of variation. c. Construct a boxplot. Are the data skewed? If so, how? d. On the basis of the results of (a) through (c), if you had to tell the president of the company how long a customer should expect to wait to have a complaint resolved, what would you say? Explain.
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