The
manager of the sportswear store credit department wants to
determine if the average monthly balance of credit card holders is
$ 75. An auditor selected from a random sample of 100 accounts and
found that the average debt was $ 83.40 with a standard deviation
for the sample of $ 23.65. Using a level of a = 0.05, should the
auditor conclude that there is evidence of a. Is the average
balance greater than $ 75? b. How does your answer to part (a) vary
if the standard deviation is $ 37.26? Construct a 99% confidence
interval for the population mean. Corroborate your result from this
part those obtained in part (a). c. d. (20 points)