The Local Pharmacy Prides Itself on the Accuracy of the Number

Multiple Choice

The local pharmacy prides itself on the accuracy of the number of tablets that are dispensed in a 60 count prescription.The new manager feels that the pharmacy assistants might have become careless in counting due to an increase in the volume of prescriptions.To test her theory she randomly selects 40 prescriptions requiring 60 tablets and recounts the number in each bottle.She finds a sample mean of 62.05 and a standard deviation of 4.45.Calculate a confidence interval to test the hypotheses at $\alpha$ = .002.

A) [59.73 64.37]
B) [59.88 64.22]
C) [60.24 63.86]
D) [60.67 63.43]
E) [61.15 62.95]