Test 4 Question 4

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Test 4 Question 4

Question

Test 4

4.Assume that both populations are normally distributed.

​a) Test whether ì1≠ì2 at the á=0.01 level of significance for the given sample data.

​b) Construct a 99​% confidence interval about ì1−ì2.

 
 

​a) Perform a hypothesis test. Determine the null and alternative hypotheses.

  1. H0​: ì1≠ì2​, H1​: ì1=ì2
  2. H0​: ì1=ì2​, H1​: ì1<ì2
  3. H0​: ì1=ì2​, H1​: ì1>ì2
  4. H0​: ì1=ì2​, H1​: ì1≠ì2

 

Determine the test statistic.

 

Determine the critical​ value(s). Select the correct choice below and fill in the answer​ box(es) within your choice.

The critical value is

The lower critical value is

The upper critical value is

 

Should the hypothesis be​ rejected?

__________  the null hypothesis because the test statistic  _______ the critical region.

​b) Construct a 99​% confidence interval about ì1−ì2.

The confidence interval is the range from ____ to ____-

 

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This question is taken from Math 136 – Introduction to Statistics » Summer 2021 » Test 4