Chapter 11 10) Are low-fat diets or low-carb diets more effective for weight loss? A sample of 76 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.6 kilograms with a sample standard deviation of 7.07 kilograms. A second sample of 78 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.83 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is less than the mean weight loss of subjects having low-fat diets? Use 0.01 level (a)State the appropriate null and alternate hypotheses.

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Author:Amos Gilat
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Chapter 11
10)Are low-fat diets or low-carb diets more effective for weight loss? A sample of 76 subjects
went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight
loss was 4.6 kilograms with a sample standard deviation of 7.07 kilograms. A second sample of
78
subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a
standard deviation of 5.83 kilograms. Can you conclude that the mean weight loss of subjects
having low-carb diets is less than the mean weight loss of subjects having low-fat diets? Use
0.01 level
(a)State the appropriate null and alternate hypotheses.
(b)Compute the P-value.
(c)Determine whether to reject Null hypothesis
(d)State a conclusion.
11
Transcribed Image Text:Chapter 11 10)Are low-fat diets or low-carb diets more effective for weight loss? A sample of 76 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.6 kilograms with a sample standard deviation of 7.07 kilograms. A second sample of 78 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.83 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is less than the mean weight loss of subjects having low-fat diets? Use 0.01 level (a)State the appropriate null and alternate hypotheses. (b)Compute the P-value. (c)Determine whether to reject Null hypothesis (d)State a conclusion. 11
Chapter 11
10) Are low-fat diets or low-carb diets more effective for weight loss? A sample of 76 subjects
went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight
loss was 4.6 kilograms with a sample standard deviation of 7.07 kilograms. A second sample of
78
subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a
standard deviation of 5.83 kilograms. Can you conclude that the mean weight loss of subjects
having low-carb diets is less than the mean weight loss of subjects having low-fat diets? Use
0.01 level
(a)State the appropriate null and alternate hypotheses.
x=0.01
Ho: 4₁24₂
(b)Compute the P-value.
4.6 -2.6
(c)Determine whether to reject Null hypothesis
A 0.9714
Hypot(Si)
VG6-1) 27² ₂07³ +- (78-1) 5.83²
76 +78-2
P vale
null
(d)State a conclusion.
Us
is
H₁:4₁ <4₂
5.83² (1/6 +
not
11
1/481) = 1.917
78
greater than X20.01 then the
rejected.
p-valu : 0,9714
T, dist(1,917, 152, true)
Transcribed Image Text:Chapter 11 10) Are low-fat diets or low-carb diets more effective for weight loss? A sample of 76 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.6 kilograms with a sample standard deviation of 7.07 kilograms. A second sample of 78 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.83 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is less than the mean weight loss of subjects having low-fat diets? Use 0.01 level (a)State the appropriate null and alternate hypotheses. x=0.01 Ho: 4₁24₂ (b)Compute the P-value. 4.6 -2.6 (c)Determine whether to reject Null hypothesis A 0.9714 Hypot(Si) VG6-1) 27² ₂07³ +- (78-1) 5.83² 76 +78-2 P vale null (d)State a conclusion. Us is H₁:4₁ <4₂ 5.83² (1/6 + not 11 1/481) = 1.917 78 greater than X20.01 then the rejected. p-valu : 0,9714 T, dist(1,917, 152, true)
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