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# Statistical Analysis: Quality of Service

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One of the major measures of the quality of service provided by any 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 measure, and 15 installation crews. The store had the business objective of improving its response to complains. The variable of interest was defined as the number of days between when the complaint was made and when it was resolved. Data were collected from 50 complaints that were made in the last year.

A. Construct a 95% confidence interval estimate for the population mean number of days between the receipt of a complaint and the resolution of the complaint.
B. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)?
C. Do you think that the assumption needed in order to construct the confidence interval estimate in (a) is valid? Explain?
D. What effect might your conclusion in (c) have on the validity of the results in (a)?

Data:

Days
54
5
35
137
31
27
152
2
123
81
74
27
11
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.

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#### Solution Summary

The solution discusses the quality of service in the statistical analysis.

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