Red Wine and Weight Loss Resveratrol, a compound in grapes and red wine, has been shown to promote weight loss in rodents and now in a primate.1 Lemurs fed a resveratrol supplement for four weeks had decreased food intake, increased metabolic rate, and a reduction in seasonal body-mass gain compared to a control group. Suppose a hypothetical study is done for a different primate species, with one group given a resveratrol supplement and the other group given a placebo. We wish to see if there is evidence that resveratrol increases the mean metabolism rate for this species. (This exercise presents hypothetical data. We will see the results from the actual study later in this chapter.)   (a) State the null and alternative hypotheses.

Linear Algebra: A Modern Introduction
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Author:David Poole
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Section4.6: Applications And The Perron-frobenius Theorem
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Red Wine and Weight Loss

Resveratrol, a compound in grapes and red wine, has been shown to promote weight loss in rodents and now in a primate.1 Lemurs fed a resveratrol supplement for four weeks had decreased food intake, increased metabolic rate, and a reduction in seasonal body-mass gain compared to a control group. Suppose a hypothetical study is done for a different primate species, with one group given a resveratrol supplement and the other group given a placebo. We wish to see if there is evidence that resveratrol increases the mean metabolism rate for this species. (This exercise presents hypothetical data. We will see the results from the actual study later in this chapter.)

 

(a) State the null and alternative hypotheses.

Let group 1 be the species taking a resveratrol supplement and let group 2 be the species taking a placebo.

Resveratrol
Resveratrol -
Placebo
Placebo
30
40
50
60
70
80
90
20
30
40
50
60
70
80
90
Resting metabolism rate
Resting metabolism rate
(a) Species A
(b) Species B
Transcribed Image Text:Resveratrol Resveratrol - Placebo Placebo 30 40 50 60 70 80 90 20 30 40 50 60 70 80 90 Resting metabolism rate Resting metabolism rate (a) Species A (b) Species B
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