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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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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