4.23 Nutrition labels: The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 130 calories and contains ten grams of fat, with three grams of saturated fat. A random sample of 35 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Is there evidence that the nutrition label does not provide an accurate measure of calories in the bags of potato chips? We have already verified that the independence, sample size, and skew conditions are satisfied. Use a significance level of a = 0.05) a) Write the hypotheses for the test: OHo:µ = 130 HA:µ = 134 %3D Но: о — 17 HA:0 < 17 OHo:µ = 130 HA:µ + 130 Ho :µ = 130 HA:µ > 130 b) Compute the test statistic. Round your answer to 2 decimal places. c) Compute the p-value for the test. Round your answer to 4 decimal places. |(round to four decimal places) p =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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4.23 Nutrition labels: The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of
potato chips has 130 calories and contains ten grams of fat, with three grams of saturated fat. A random
sample of 35 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Is there
evidence that the nutrition label does not provide an accurate measure of calories in the bags of potato chips?
We have already verified that the independence, sample size, and skew conditions are satisfied. Use a
significance level of a = 0.05)
a) Write the hypotheses for the test:
O Ho:µ = 130
HA:µ = 134
O Ho:o = 17
HA:0 < 17
OHo:µ = 130
HA:µ + 130
Ho:µ = 130
HA:µ > 130
b) Compute the test statistic. Round your answer to 2 decimal places.
c) Compute the p-value for the test. Round your answer to 4 decimal places.
p =
|(round to four decimal places)
Transcribed Image Text:4.23 Nutrition labels: The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 130 calories and contains ten grams of fat, with three grams of saturated fat. A random sample of 35 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Is there evidence that the nutrition label does not provide an accurate measure of calories in the bags of potato chips? We have already verified that the independence, sample size, and skew conditions are satisfied. Use a significance level of a = 0.05) a) Write the hypotheses for the test: O Ho:µ = 130 HA:µ = 134 O Ho:o = 17 HA:0 < 17 OHo:µ = 130 HA:µ + 130 Ho:µ = 130 HA:µ > 130 b) Compute the test statistic. Round your answer to 2 decimal places. c) Compute the p-value for the test. Round your answer to 4 decimal places. p = |(round to four decimal places)
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