Howwould you test a null hypothesis that the population mean is 20against the al

Question

Howwould you test a null hypothesis that the population mean is 20against the alternative that is it greater than 20, if it is knowthat the sample standard deviation, s, is 3.7 and the sample sizeis 12?

Answer

Iwould use z test, no degrees of freedom are needed.

Iwould use a chi squared test with 11 degrees of freedom.

Iwould use a z test with 12 degrees of freedom.

Iwould use a t test with 11 degree of freedom,

Howwould you test a null hypothesis that the population mean is 20against the alternative that is it greater than 20, if it is knowthat the sample standard deviation, s, is 3.7 and the sample sizeis 12?

Answer

Iwould use z test, no degrees of freedom are needed.

Iwould use a chi squared test with 11 degrees of freedom.

Iwould use a z test with 12 degrees of freedom.

Iwould use a t test with 11 degree of freedom,

Explanation / Answer

The correct answer is (d). Use a t-test with 11 degrees offreedom. Why? When doing hypothesis testing, z-values are used only when yourpopulation standard deviation is known. In this case, you only knowyour sample standard deviation. Thus, use a one-sample t-test withdegrees of freedom n-1.

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