2) When 25 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Our goal is to test the claim that the mean weight loss is...

2) When 25 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Our goal is to test the claim that the mean weight loss is greater than 0. Assume the population is approximately normally distributed.

    2a).  Write (symbolically) the claim, the null and the alternative hypothesis

   2b) Find the p-value

   2c) Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0

3) Below are the volumes of the contents of cans of regular Cole ( n = 36 , x ¯ = 12.19 o z , s = 0.11 o z )and volumes of the contents of cans of regular Pepsi

( n = 36 , x ¯ = 12.29 o z , s = 0.09 o z ). Our goal is to testthe claim that cans of regular Coke and regular Pepsi have the same volume.

    3a).  Write (symbolically) the claim, the null and the alternative hypothesis

   3b) Find the p-value

    3c) Use a 0.05 significance level to test the claim