At a recentmeeting, the manager of a national call center for a major Internet bank made the statement that the averagepast-due amount for customers who have been called previously about their bills is now no larger than $21.00. Other bank managers at the meeting suggested that this statement may be in error and that it might be worthwhile to conduct a test to see if there is statistical support for the call centermanager's statement. The accompanying table contains data for a random sample of 67 customers from the call center population. Assuming that the population standard deviation for past due amounts is known to be $58.00, what should be concluded based on the sampledata? Test using =0.01.

(1) State the appropriate null and alternative hypotheses

(2) Calculate the test statistic.

z =

or

t =

(3)Find thep-value.

(4) State the conclusion. Choose the correct answer below.

A.

Reject the null hypothesis. There is sufficient evidence at significance level =0.01 that the meanpast-due amount for customers who have been called is greater than $21.00.

B.

Donotreject the null hypothesis. There isnot sufficient evidence at significance level =0.01 that the meanpast-due amount for customers who have been called is not equal to $21.00.

C.

Reject the null hypothesis. There isnot sufficient evidence at significance level =0.01 that the meanpast-due amount for customers who have been called is greater than $21.00.

D.

Donotreject the null hypothesis. There is sufficient evidence at significance level =0.01 that the meanpast-due amount for customers who have been called is greater than $21.00.