Question

You wish to test the following claim ( H 1 ) at a significance level of α = 0.005 . H o : μ = 78.7 H 1 : μ < 78.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 7 with a mean of ¯ x = 74.8 and a standard deviation of S D = 5.4 .

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 less than 78.7.

-There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 78.7. -

-The sample data support the claim that the population mean is less than 78.7.

-There is not sufficient sample evidence to support the claim that the population mean is less than 78.7.

Answer 1

There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 78.7.