STATISTICS FOR MANAGERS

Late payment of medical claims can add to the cost of health care. An article
reported that the mean time from the date of service to the date of payment for
one insurance company was 41.4 days during a recent period. Suppose that a
sample of 100 medical claims is selected during the latest time period. The
sample mean time from the date of service to the date of payment was 39.6
days, and the sample standard deviation was 7.4 days.
a. Using the 0.05 level of significance, is there evidence that the population
mean has changed from 41.4 days?
b. What is your answer in (a) if you use the 0.01 level of significance?
c. What is your answer in (a) if the sample mean is 38.2 days and the sample
standard deviation is 10.7 days?

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