A random sample of n observations is selected from a

Solution 49E

Step1 of 7:

Let us consider a random sample of  observations is selected from a normal population.

Also, we have m = 10.

Here our goal is to Specify the rejection region for each of the following combinations of

a).

b).

c).

d).

e).

f).

Step2 of 7:

a).

Let us consider test of the hypothesis:

 against

With  level of significance.

Let,

Degrees of freedom is given by:

Now,

Where is obtained from t- critical values table(that is in row 13 under column 0.025).

Therefore, for two tail test the rejection region is given by:

Step3 of 7:

b).

Let us consider test of the hypothesis:

 against

With  level of significance.

Let,