Consider the following hypotheses: H0: 12.7 HA: > 12.7 A sample of 51 observations yields a sample mean of 13.7. Assume that

Consider the following hypotheses:

H0: μ ≤ 12.7

HA: μ > 12.7

A sample of 51 observations yields a sample mean of 13.7. Assume that the sample is drawn from a normal population with a known population standard deviation of 5.5. Use Table 1.

a.

Calculate the p-value. (Round "z" value to 2 decimal places.)

p-value

b.

What is the conclusion if α = 0.01?

Reject H0

Do not reject H0

c.

Calculate the p-value if the above sample means was based on a sample of 106 observations. (Round "z" value to 2 decimal places.)

p-value

d.

What is the conclusion if α = 0.01?

Do not reject H0

Reject H0