Let the test statistic T have a t distribution when H0 is true. Give the significance level for each of the following situation. A. Ha: mu > m0, df = 15, rejection region t > 3.733
B. Ha : mu < mu 0, n = 24, rejection region t < - 2.500
C. Ha: mu not = mu 0, n = 31, rejection region t >1.697 or t < - 1.697

a) The degrees of freedom are given by:

And the rejection region is

And the significance level would be:

b) The degrees of freedom are given by:

And the rejection region is

And the significance level would be:

c) The degrees of freedom are given by:

And the rejection region is or

And the significance level would be:

Step-by-step explanation:

Part a

We have the following system of hypothesis:

Null hypothesis:

Alternative hypothesis:

The degrees of freedom are given by:

And the rejection region is

And the significance level would be:

Part b

We have the following system of hypothesis:

Null hypothesis:

Alternative hypothesis:

The degrees of freedom are given by:

And the rejection region is

And the significance level would be:

Part c

We have the following system of hypothesis:

Null hypothesis:

Alternative hypothesis:

The degrees of freedom are given by:

And the rejection region is or

And the significance level would be: