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.
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Weight (pounds)
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Subject
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Before After
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1
2
3
4
5
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150 130
170 160
185 180
160 160
200 180a
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1. Identify the null hypothesis and the alternative hypothesis.
2. Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
3. Determine the p-value. Show all work; writing the correct critical value, without supporting work, will receive no credit.
4. Is there sufficient evidence to support the claim that regular exercise helps weight loss? Justify your conclusion.