Question

1. Resveratrol, an ingredient in red wine and grapes, has been shown to promote weight loss in rodents. One study investigates whether the same phenomenon holds true in primates. The grey mouse lemur, a primate, demonstrates seasonal spontaneous obesity in preparation for winter, doubling its body mass. A sample of six lemurs had their resting metabolic rate, body mass gain, food intake, and locomotor activity measured for one week prior to resveratrol supplementation (to serve as a baseline) and then the four indicators were measured again after treatment with a resveratrol supplement for four weeks. Some p-values for tests comparing 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 be that there is no change and the alternative would be what they are trying to test as described in the wording in each part)

a. In a test to see if mean resting metabolic rate is higher after treatment, p=0.013

b. In a test to see if mean body mass gain is lower after treatment, p=0.007

c. In a test to see if mean food intake is affected by the treatment, p=0.035

d. In a test to see if locomotor activity is affected by the treatment, p=0.980

e. In which test is the strongest evidence for rejecting the null found? The weakest? f. How do your answers to parts a-d change if the researchers make their conclusions using a stricter 1% significance level?

Answer 1

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1/

a. In a test to see if mean resting metabolic rate is higher after treatment, p=0.013
p-value < alpha. Reject Ho
Conclude that "mean resting metabolic rate is higher after treatment

b. In a test to see if mean body mass gain is lower after treatment, p=0.007
p-value < alpha. Reject Ho
Conclude that "mean resting metabolic rate is lower after treatment

c. In a test to see if mean food intake is affected by the treatment, p=0.035
p-value < alpha. Reject Ho
Conclude that "mean resting metabolic rate is affected after treatment

d. In a test to see if locomotor activity is affected by the treatment, p=0.980
p-value > alpha. Fail to Reject Ho
Conclude that "mean resting metabolic rate is not affected by the treatment

e. In which test is the strongest evidence for rejecting the null found? The weakest? f. How do your answers to parts a-d change if the researchers make their conclusions using a stricter 1% significance level?

Strongest should have weakest p-value = Part B
Weakest should have the highest p-value below alpha = Part C

f. If alpha = .01,

a. In a test to see if mean resting metabolic rate is higher after treatment, p=0.013
p-value > alpha. Fail to Reject Ho
Conclude that "mean resting metabolic rate is NOT higher after treatment

b. In a test to see if mean body mass gain is lower after treatment, p=0.007
p-value < alpha. Reject Ho
Conclude that "mean resting metabolic rate is lower after treatment

c. In a test to see if mean food intake is affected by the treatment, p=0.035
p-value > alpha.Fail to Reject Ho
Conclude that "mean resting metabolic rate is NOT affected after treatment

d. In a test to see if locomotor activity is affected by the treatment, p=0.980
p-value > alpha. Fail to Reject Ho
Conclude that "mean resting metabolic rate is not affected by the treatment