Question: A sample of 37 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 3. Conduct the

A sample of 37 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.02 significance level.

H0: 20

H1: > 20

a.Is this a one- or two-tailed test?

A) one tailed

B) two tailed

b.What is the decision rule?

A)RejectH0whenz> 2.054

B) RejectH0whenz 2.054

c.What is the value of the test statistic?(Round your answer to 2 decimal places.)

d.What is your decision regardingH0?

A) Fail to reject H0

B) Reject H0

e-1.What is thep-value?(Round your answer to 4 decimal places.)

e-2.Interpret thep-value?(Round your final answer to 2 decimal places.)

There is a ______ % chance of finding a z value this large by "sampling error" when H0 is true.

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