Question

You wish to test the following claim ( H 1 ) at a significance level of α = 0.05 . H o : μ = 78.8 H 1 : μ > 78.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

78.9, 81.9, 74.8, 74.5, 76.2, 85.2, 84.5, 71.4, 76.7, 95.5, 76.9, 82.8, 90.9, 76.9, 91.4, 90.9, 76, 75.8, 74.5, 79.7, 67.6, 85.5, 76.7, 82.5, 81.4, 81.2, 79.1, 68.1, 77.8, 68.1, 79.7, 69.1, 62, 84.5, 88.3, 90.9

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 greater than 78.8.

-There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 78.8.

-The sample data support the claim that the population mean is greater than 78.8.

-There is not sufficient sample evidence to support the claim that the population mean is greater than 78.8.

Answer #1

Answer:-

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