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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.
subject...........pounds before.........pounds after
1............................190.........................180
2............................170.........................160
3............................185.........................175
4............................160.........................160
5.............................200........................190
1. a) Identify the null hypothesis and the alternative hypothesis.
2. (b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting
3. work, will receive no credit.
4. (c) Determine the p-value. Show all work; writing the correct critical value, without supporting
5. work, will receive no credit.
6. (d) Is there sufficient evidence to support the claim that regular exercise helps weight loss? Justify your conclusion.
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