## You wish to test the following claim ( H a H a ) at a significance…

You wish to test the following claim ( H a H a ) at a

significance level of α = 0.02 α = 0.02

H o : μ = 74.5

H a : μ ≠ 74.5

You believe the population is normally distributed and you know

the standard deviation is σ = 14.8. You obtain a sample mean of M =

67.5 for a sample of size n = 26

What is the critical value for this test? (Report answer

accurate to three decimal places.)

critical value = ±

What is the test statistic for this sample? (Report answer accurate

to three decimal places.)

test statistic =

The test statistic is…

- in the critical region
- not in the critical region

This test statistic leads to a decision to…

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that…

- There is sufficient evidence to warrant rejection of the claim

that the population mean is not equal to 74.5. - There is not sufficient evidence to warrant rejection of the

claim that the population mean is not equal to 74.5. - The sample data support the claim that the population mean is

not equal to 74.5. - There is not sufficient sample evidence to support the claim

that the population mean is not equal to 74.5.