Consider the following hypotheses:

H0: ? ? 12.6

HA: ? > 12.6
A sample of 25 observations yields a sample mean of 13.4. Assume that the sample is drawn from a normal population with a known population standard deviation of 3.2.

a. Calculate the p-value. (Round "z" value to 2 decimal places and final answer to 4 decimal places.

p-value =
b. What is the conclusion if ? = 0.10

A. Reject H0 since the p-value is greater than ?.
B. Reject H0 since the p-value is smaller than ?.
C. Do not reject H0 since the p-value is greater than ?.
D. Do not reject H0 since the p-value is smaller than ?.

c. Calculate the p-value if the above sample mean was based on a sample of 100 observations. (Round "z" value to 2 decimal places and final answer to 4 decimal places.)

p-value =

d. What is the conclusion if ? = 0.10?

A. Reject H0 since the p-value is greater than ?.
B. Reject H0 since the p-value is smaller than ?.
C. Do not reject H0 since the p-value is greater than ?.
D. Do not reject H0 since the p-value is smaller than ?.