Question: The director of marketing for a large banking services organization would like to estimate the number of credit cards held by two groups of banking customers: savings account holders and checking account holders. A random sample of 8 savings account holders and 8 checking account holders was selected with the following results:

a) Is there evidence of a difference in the variances between savings account holders and checking account holders? (Assume that the populations are independent and normally distributed; let a = .05; and, use an 8-step hypothesis test format)

b) Is there evidence that the number of credit cards held by savings account holders is less than that held by checking account holders? (Let a = .05) Use an 8-step hypothesis test format.