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.