Question

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.

Answer 1