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Assume them to be a random sample from a normal population. Perform a hypothesis test at alpha = 0.05 to determine whether the variance differs from 0.02. %3D

Assume them to be a random sample from a normal population. Perform a hypothesis test at alpha = 0.05 to determine whether the variance differs from 0.02. %3D

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
Section10.4: Distributions Of Data
Problem 19PFA
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A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The variance of the amount in each can is 0.02. The machine is moved to a new location. To determine whether the variance has changed, 10 cans are filled. Following are the amounts in the 10 cans. 12.18 12.30 12.50 12.60 12.00 12.50 12.10 12.36 12.28 12.10 Assume them to be a random sample from a normal population. Perform a hypothesis test at alpha = 0.05 to determine whether the variance differs from 0.02. O Ho: o? = 0.02 vs H: o? * 0.02 Since P-value = 0.0730 is greater than alpha = 0.05, do not reject the null hypothesis and conclude the variance is 0.02 %3! !! O Ho: o? = 0.02 vs H: o² # 0.02 Since the calculated test-statistic = 17.888 is within the rejection region (2.700 to 19.023), do not reject the null hypothesis and conclude the variance is 0.02 o Ho: µ = 12 vs H,: H # 12 Since P-value = 0.001 is less than alpha = 0.05, reject the null hypothesis and conclude the mean differs from 12 O Họ: o? = 0.02 vs H: o² > 0.02 Since P-value = 0.0365 is less than alpha = 0.05, reject the null hypothesis and conclude the variance differs from 0.02
Transcribed Image Text:A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The variance of the amount in each can is 0.02. The machine is moved to a new location. To determine whether the variance has changed, 10 cans are filled. Following are the amounts in the 10 cans. 12.18 12.30 12.50 12.60 12.00 12.50 12.10 12.36 12.28 12.10 Assume them to be a random sample from a normal population. Perform a hypothesis test at alpha = 0.05 to determine whether the variance differs from 0.02. O Ho: o? = 0.02 vs H: o? * 0.02 Since P-value = 0.0730 is greater than alpha = 0.05, do not reject the null hypothesis and conclude the variance is 0.02 %3! !! O Ho: o? = 0.02 vs H: o² # 0.02 Since the calculated test-statistic = 17.888 is within the rejection region (2.700 to 19.023), do not reject the null hypothesis and conclude the variance is 0.02 o Ho: µ = 12 vs H,: H # 12 Since P-value = 0.001 is less than alpha = 0.05, reject the null hypothesis and conclude the mean differs from 12 O Họ: o? = 0.02 vs H: o² > 0.02 Since P-value = 0.0365 is less than alpha = 0.05, reject the null hypothesis and conclude the variance differs from 0.02
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