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3. Hypothesis Test for Two Populations including t-Test for μ1-μ1 t-Test for μd F-Test for To...

3.

Hypothesis Test for Two Populations including

  • t-Test for μ1-μ1
  • t-Test for μd
  • F-Test for

To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are in the accompanying table. The preparation course is effective in improving exam scores if µd > 0, where µd = µAfter - µBefore.

Student

Exam Score Before Course

Exam Score After Course

1

530

670

2

690

770

3

910

1,000

4

700

710

5

450

550

6

820

870

7

820

770

8

630

610

Hypothesis test is to determine whether the business school preparation course is effective in improving exam scores with HA: µd > 0.The p-value is 0.0331. At the 0.05 level of significance, what is the conclusion for this hypothesis test?

Group of answer choices

a. No conclusion can be drawn from the information given

b. There is sufficient evidence that the business school preparation course does improve exam score.

c. There is sufficient evidence that the business school preparation course has no impact on exam score.

d. There is sufficient evidence that the business school preparation course does not improve exam score.

math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

For the given test, we have

Null hypothesis: H0: the business school preparation course is not effective in improving exam scores.

Alternative hypothesis: Ha: the business school preparation course is effective in improving exam scores.

From given results, we have

P-value = 0.0331

α = 0.05

P-value < α

So, we reject the null hypothesis

b. There is sufficient evidence that the business school preparation course does improve exam score.

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