# Question: Consider the following hypotheses H0 12 6 HA

Consider the following hypotheses:

H0: µ ≤ 12.6

HA: µ > 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.

b. What is the conclusion if α = 0.10?

c. Calculate the p-value if the above sample mean was based on a sample of 100 observations.

d. What is the conclusion if α = 0.10?

H0: µ ≤ 12.6

HA: µ > 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.

b. What is the conclusion if α = 0.10?

c. Calculate the p-value if the above sample mean was based on a sample of 100 observations.

d. What is the conclusion if α = 0.10?

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