MATH 012- Identify the null hypothesis and the alternative hypothesis from the following case

Subject: Mathematics    / Statistics
Question

10. Mimi was curious if regular excise really helps weight loss, hence she decided to perform a hypothesis test. A random sample of 5 UMUC students was chosen. The students took a 30- minute exercise every day for 6 months. The weight was recorded for each individual before and after the exercise regimen. Does the data below suggest that the regular exercise helps weight loss? Assume Mimi wants to use a 0.05 significance level to test the claim.

Weight (pounds)

Subject

Before

After

1

150

130

2

170

160

3

185

180

4

160

160

5

200

180

(a) Identify the null hypothesis and the alternative hypothesis.

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c) Determine the p-value. Show all work; writing the correct critical value, without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the claim that regular exercise helps weight loss? Justify your conclusion.