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Consider the following hypotheses: H 0 : ? ? 18.9 H A : ? > 18.9 A sample of 56 observations yields a sample mean

Consider the following hypotheses:

H0: ? ? 18.9

HA: ? > 18.9

A sample of 56 observations yields a sample mean of 20.1. Assume that the sample is drawn from a normal population with a known population standard deviation of 6. Use Table 1.

a.

Calculate the p-value. (Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to 4 decimal places.)

p-value

b. What is the conclusion if ? = 0.02?
Do not reject H0
Reject H0

c.

Calculate the p-value if the above sample mean was based on a sample of 133 observations. (Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to 4 decimal places.)

p-value

d. What is the conclusion if ? = 0.02?
Do not reject H0

Reject H0

Im trying to calculate the p-value for question c. but it is giving me wrong results, could someone please help me?

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