Question

1. All else held constant...

What happens to the magnitude of your test statistic if your sample size increases?

Select one:

a. It increases in magnitude.

b. It decreases in magnitude.

c. Its magnitude does not change.

d. The magnitude will either increase or decrease, depending on the initial value of β.

2. In a two-tail test of the population mean, if the null hypothesis is rejected when the null hypothesis is false then

Select one:

a. a Type I error was committed

b. a Type II error was committed

c. a correct decision was made

d. a one-tailed test should have been used instead of a two-tailed test

e. a two-tailed test should have been used instead of a one-tailed test

Answer 1

Solution:

Q 1) What happens to the magnitude of your test statistic if your sample size increases?

It increases in magnitude.

Option a is correct.

Explanation:

Consider z test for mean. The test statistic z is given by

z =  

Observing this , we can say that as sample size increases , the magnitude of z increases.

Q 2. In a two-tail test of the population mean, if the null hypothesis is rejected when the null hypothesis is false then

c. a correct decision was made