Question

You wish to test the following claim ( H 1 ) at a significance level of α = 0.005 . H o : μ = 89.1 H 1 : μ ≠ 89.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 5 with a mean of ¯ x = 68.8 and a standard deviation of S D = 19.7 .

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 89.1.

-There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.1.

-The sample data support the claim that the population mean is not equal to 89.1.

-There is not sufficient sample evidence to support the claim that the population mean is not equal to 89.1.

Answer 1

Given,

H o : μ = 89.1

H 1 : μ ≠ 89.1

α = 0.005

n = 5, mean = 68.8, SD = 19.7

Critical value of the test is,

Test statistics of the sample,

The test statistic is - not in the critical region.

This test statistic leads to a decision to- accept 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 89.1.

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