73 19 16 64 28 28 31 90 60 56 31 56 22 18 45 48 17 17 17 91 92 63 50 51 69 16 17 a. In the past, the mean processing time was 45 days. At the 0.05 level of significance, is there evidence that the mean processing time has changed from 45 days? b. What assumption about the population distribution is needed in order to conduct the r test in (a)? c. Construct a boxplot or a normal probability plot to evaluate the assumption made in (b). d. Do you think that the assumption needed in order to conduct ther test in (a) is valid? Explain.

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9.29 An insurance company has the business objective of reduc-
ing the amount of time it takes to approve applications for life
insurance. The approval process consists of underwriting, which
includes a review of the application, a medical information bureau
check, possible requests for additional medical information and
medical exams, and a policy compilation stage in which the policy
pages are generated and sent for delivery. The ability to deliver
approved policies to customers in a timely manner is critical to
the profitability of this service. During a period of one month, you
collect a random sample of 27 approved policies and the total pro-
cessing time, in days, stored in Insurance, are:
73 19 16 64 28 28 31 90 60 56 31 56 22 18 45 48
17 17 17 91 92 63 50 51 69 16 17
a. In the past, the mean processing time was 45 days. At the 0.05
level of significance, is there evidence that the mean processing
time has changed from 45 days?
b. What assumption about the population distribution is needed in
order to conduct the r test in (a)?
c. Construct a boxplot or a normal probability plot to evaluate the
assumption made in (b).
d. Do you think that the assumption needed in order to conduct
ther test in (a) is valid? Explain.
Transcribed Image Text:9.29 An insurance company has the business objective of reduc- ing the amount of time it takes to approve applications for life insurance. The approval process consists of underwriting, which includes a review of the application, a medical information bureau check, possible requests for additional medical information and medical exams, and a policy compilation stage in which the policy pages are generated and sent for delivery. The ability to deliver approved policies to customers in a timely manner is critical to the profitability of this service. During a period of one month, you collect a random sample of 27 approved policies and the total pro- cessing time, in days, stored in Insurance, are: 73 19 16 64 28 28 31 90 60 56 31 56 22 18 45 48 17 17 17 91 92 63 50 51 69 16 17 a. In the past, the mean processing time was 45 days. At the 0.05 level of significance, is there evidence that the mean processing time has changed from 45 days? b. What assumption about the population distribution is needed in order to conduct the r test in (a)? c. Construct a boxplot or a normal probability plot to evaluate the assumption made in (b). d. Do you think that the assumption needed in order to conduct ther test in (a) is valid? Explain.
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