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Jullian was curious if regular excise really helps weight loss,she decided to perform a hypothesis test. A random sample of 5 Kansas State 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 regular exercise helps weight loss?

Weight (pounds)

Subject                      Before              After

1                                  160                 120

2                                  170                168

3                                  190                 175

4                                  165                 165

5                                  200                 190

Assume we want to use a 0.05 significance level to test the claim.

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

(b) Determine the test statistic.

(c) Determine the p-value.

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

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