At a Recent Meeting, the Manager of a National Call

At a recent meeting, the manager of a national call center for a major Internet bank made the statement that the average past-due amount for customers who have been called previously about their bills is now no larger than $20.00. 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 center manager's statement. The file called Bank Call Center 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 $60.00, what should be concluded based on the sample data? Test using α = 0.10.

A) Because p-value = 0.4121 > alpha = 0.10, we do not reject the null hypothesis. The sample data do not provide sufficient evidence to reject the call center manager's statement that the
Mean past due amount is $20.00 or less.
B) Because p-value = 0.4121 > alpha = 0.10, we reject the null hypothesis. The sample data provide sufficient evidence to reject the call center manager's statement that the mean
Past due amount is $20.00 or less.
C) Because p-value = 0.2546 > alpha = 0.10, we do not reject the null hypothesis. The sample data do not provide sufficient evidence to reject the call center manager's statement that the
Mean past due amount is $20.00 or less.
D) Because p-value = 0.2546 > alpha = 0.10, we reject the null hypothesis. The sample data provide sufficient evidence to reject the call center manager's statement that the mean
Past due amount is $20.00 or less.