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Nutrition labels. The nutrition label on a bag of potato chips says that a serving of potato chips has 130 calories. A random sample of 37 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Test the claim at a 5% level of significance that the nutrition label on a bag of potato chips is correct.

Nutrition labels. The nutrition label on a bag of potato chips says that a serving of potato chips has 130 calories. A random sample of 37 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Test the claim at a 5% level of significance that the nutrition label on a bag of potato chips is correct.

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Nutrition labels. The nutrition label on a bag of potato chips says that a serving of potato chips has 130 calories. A random sample of 37 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Test the claim at a 5% level of significance that the nutrition label on a bag of potato chips is correct. (a) Write the hypotheses for the test: O Ho: H = 130 H3: μ - 134 O H.: 0 = 17 Hạ: o < 17 Ο H: μ- 130 Hạ: p > 134 Ο H,: μ- = 130 Hạ: P * 130 (b) Compute the p-value for the test: p = (round to three sig figs) (c) What is the final conclusion? O There is sufficient evidence to support the claim that the true average calorie content is 130 calories. O There is not sufficient evidence to support the claim that the true average calorie content is 130 calories. O There is sufficient evidence to reject the claim that the true average calorie content is 130 calories. O There is not sufficient evidence to reject the claim that the true average calorie content is 130 calories. Question Help: M Message instructor D Post to forum Submit All Parts Jump to Answer
Transcribed Image Text:Nutrition labels. The nutrition label on a bag of potato chips says that a serving of potato chips has 130 calories. A random sample of 37 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Test the claim at a 5% level of significance that the nutrition label on a bag of potato chips is correct. (a) Write the hypotheses for the test: O Ho: H = 130 H3: μ - 134 O H.: 0 = 17 Hạ: o < 17 Ο H: μ- 130 Hạ: p > 134 Ο H,: μ- = 130 Hạ: P * 130 (b) Compute the p-value for the test: p = (round to three sig figs) (c) What is the final conclusion? O There is sufficient evidence to support the claim that the true average calorie content is 130 calories. O There is not sufficient evidence to support the claim that the true average calorie content is 130 calories. O There is sufficient evidence to reject the claim that the true average calorie content is 130 calories. O There is not sufficient evidence to reject the claim that the true average calorie content is 130 calories. Question Help: M Message instructor D Post to forum Submit All Parts Jump to Answer
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