Question

Complete the following statements by circling or underlining the appropriate term or phrase.

1. As the degrees of freedom [[ increase / decrease ]] the t-distribution becomes more similar to the standard Normal distribution.

2. If you conducted a hypothesis test for the mean using α = .01 and calculated a p-value of .0084, you should decide to [[ reject / not reject ]] the null hypothesis.

3. All other things being equal, if you increase n, the size of the sample, the margin of error for a confidence interval will become [[ larger / smaller ]].

Answer 1

Solution :

1)

As the degrees of freedom increase  the t-distribution becomes more similar to the standard

Normal distribution.

2)

If you conducted a hypothesis test for the mean using α = .01 and calculated a p-value of .0084, you should decide to reject  the null hypothesis.

3)

All other things being equal, if you increase n, the size of the sample, the margin of error for a confidence interval will become smaller