GRADED PROBLEM SET #8

Answer each of the following questions completely. When possibleto answer using a complete sentence and offering explanation,please do so. There are a total of 20 points possible in theassignment.

1. Resveratrol, an ingredient in red wine and grapes, has beenshown to promote weight loss in rodents. One study investigateswhether the same phenomenon holds true in primates. The grey mouselemur, a primate, demonstrates seasonal spontaneous obesity inpreparation for winter, doubling its body mass. A sample of sixlemurs had their resting metabolic rate, body mass gain, foodintake, and locomotor activity measured for one week prior toresveratrol supplementation (to serve as a baseline) and then thefour indicators were measured again after treatment with aresveratrol supplement for four weeks. Some p-values for testscomparing the mean differences in these variables are given below.In parts a-d, state the conclusion of the test using a 5%significance level, and interpret the conclusion in context. (HINT:For thinking of the null/alternative hypothesis, the null would bethat there is no change and the alternative would be what they aretrying to test as described in the wording in each part)
   1. In a test to see if mean resting metabolic rate is higher aftertreatment, p=0.013

2. In a test to see if mean body mass gain is lower aftertreatment, p=0.007

3. In a test to see if mean food intake is affected by thetreatment, p=0.035

4. In a test to see if locomotor activity is affected by thetreatment, p=0.980

5. In which test is the strongest evidence for rejecting the nullfound? The weakest?

6. How do your answers to parts a-d change if the researchers maketheir conclusions using a stricter 1% significance level?

2. There were 2430 Major League Baseball games played in 2009, andthe home team won the game in 53% of the games. If we consider thegames played in 2009 as a sample of all MLB games, test to see ifthere is evidence, at the 5% level, that the home team wins morethan half the games. (Show all steps of the hypothesis test toreceive points)