The physician-recommended dosage of a new medication is 14 mg. Actual administered doses vary slightly from dose to dose and are Normally distributed with mean . A representative of a medical review board wishes to see if there is any evidence that the mean dosage is more than recommended and so intends to test the hypotheses given below.

H₀ : =14, H_a : >14

To do it he selects 16 doses at random and determines the weight of each. He finds the mean to be 14.12 mg and the standard deviation to be 0.24 mg.

Based on these data,

Select one:

a. we would reject H₀ at significance level 0.10, but not at 0.05.

b. we would reject H₀ at significance level 0.05, but not at 0.025.

c. we would reject H₀ at significance level 0.025, but not at 0.01.

d. we would reject H₀ at significance level 0.01.

e. Cannot be determined.