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1. The manager of the credit department of a gas station company wants to determine if...

1. The manager of the credit department of a gas station company 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.

a. Using a level of α = 0.05, should the auditor conclude that there is evidence that the average balance is greater than $ 75?
b. How does your answer to part (a) vary if the standard deviation is $ 37.26?
c. Construct a 99% confidence interval for the population mean.
d. Corroborate your result from this part those obtained in part (a).
Math   Statistics-And-Probability   
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