A bank would like to study the waiting time of serving customers during the noon-to- 1 p.m. lunch period of their branches located at two places; in a commercial district of a city and in a residential area. Data are collected from a random sample of 20 customers, and the waiting time (in minutes) are recorded from both branches as follows: Commercial District Residential Area 4.21 5.55 3.02 5.13 4.77 9.66 5.90 8.02 5.79 8.73 2.34 3.54 3.20 4.50 6.10 3.82 8.01 8.35 6.68 5.64 At 1 percent significance level, can we conclude that the customers at branch which located in the residential area need to wait longer compared to the customers who entered bank branch in the commercial district?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
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a) A bank would like to study the waiting time of serving customers during the noon-to-
1 p.m. lunch period of their branches located at two places; in a commercial district of
a city and in a residential area. Data are collected from a random sample of 20
customers, and the waiting time (in minutes) are recorded from both branches as
follows:
Commercial District
ResidentialArea
4.21
5.55
3.02
5.13
4.77
9.66
5.90
8.02
5.79
8.73
2.34
3.54
3.20
4.50
6.10
3.82
8.01
8.35
6.68
5.64
At 1 percent significance level, can we conclude that the customers at branch which
located in the residential area need to wait longer compared to the customers who
entered bank branch in the commercial district?
b) The Reliance Insurance Company is interested to investigate on annual claimant
satisfaction of its policyholders. A random sample of 30 claimants was asked to rate
their satisfaction with the quality of the service: satisfied or unsatisfied. 12 of them
were not satisfied with the service. Construct a 95% confidence interval estimate for
the proportion of claimants who were satisfied with the service provided by the
company.
Transcribed Image Text:a) A bank would like to study the waiting time of serving customers during the noon-to- 1 p.m. lunch period of their branches located at two places; in a commercial district of a city and in a residential area. Data are collected from a random sample of 20 customers, and the waiting time (in minutes) are recorded from both branches as follows: Commercial District ResidentialArea 4.21 5.55 3.02 5.13 4.77 9.66 5.90 8.02 5.79 8.73 2.34 3.54 3.20 4.50 6.10 3.82 8.01 8.35 6.68 5.64 At 1 percent significance level, can we conclude that the customers at branch which located in the residential area need to wait longer compared to the customers who entered bank branch in the commercial district? b) The Reliance Insurance Company is interested to investigate on annual claimant satisfaction of its policyholders. A random sample of 30 claimants was asked to rate their satisfaction with the quality of the service: satisfied or unsatisfied. 12 of them were not satisfied with the service. Construct a 95% confidence interval estimate for the proportion of claimants who were satisfied with the service provided by the company.
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