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lMTS RUS 3G 10:41 PM Question 2 Question 1 1) The water diet requires one to dri

ID: 3045498 • Letter: L

Question

lMTS RUS 3G 10:41 PM Question 2 Question 1 1) The water diet requires one to drink two cups of water every half hour from when one gets up until one goes to bed, but otherwise allows one to eat whatever one likes. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights (in pounds) are in fig. For the population of all adults, assume that the weight loss after six weeks on the diet (weight before beginning the diet - weight after six weeks on the diet) is normally distributed with mean . Based on these data, what is the p value of the hypothesis test to determine if the diet leads to weight loss? (Use 3 decimals)_ Numerical Answer Type your response Person Weight before the diet Weight after the diet 158 160 130 125 200 205 156 150 Unanswered

Explanation / Answer

1)

Paired T-Test and CI: before, after

Paired T for before - after

            N   Mean StDev SE Mean
before      4 161.0   29.0     14.5
after       4 160.0   33.4     16.7
Difference 4   1.00   5.35     2.68


95% upper bound for mean difference: 7.30
T-Test of mean difference = 0 (vs < 0): T-Value = 0.37 P-Value = 0.633

p-value = 0.633

2)

Two-Sample T-Test and CI

Sample   N   Mean StDev SE Mean
1       15 118.0   23.9      6.2
2       20 115.0   24.6      5.5


Difference = (1) - (2)
Estimate for difference: 3.00
95% lower bound for difference: -11.05
T-Test of difference = 0 (vs >): T-Value = 0.36 P-Value = 0.360 DF = 33
Both use Pooled StDev = 24.3055

p-value = 0.360

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