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 this theory, the manager randomly selects 40 prescriptions requiring 60 tablets and recounts the number in each bottle. The manager finds a sample mean of 62.05 and a standard deviation of 4.45. Assume counts are approximately normally distributed.

Give a range for the p-value for this test.

(Suppose alternative hypothesis to test if the average number of tablets is different from the required number.)

Select one:

a. 0.001 < p-value < 0.005

b. 0.05 < p-value < 0.10

c. 0.025 < p-value < 0.05

d. 0.01 < p-value < 0.025

e. 0.005 < p-value < 0.01