c) If we use this confidence interval to test the hypothesis that uTop " PFront "0, what's the corresponding alpha level? (Type an integer or a decimal. Do not round.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Solve C
In an issue, Consumer Reports examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type. One of the variables the article reported was "cycle time," the number of
minutes it took each machine
wash a load of clothes. Among the machines rated good to excellent, the 95% confidence interval for the difference in mean cycle time uTop - HEront is (-44, - 23). Complete parts a through c.
a) The endpoints of this confidence interval are negative numbers. What does that indicate?
O A. This suggests that there is no difference in the mean cycle time for top-loading machines and the mean cycle time for front-loading machines.
O B. This suggests that the mean cycle time for top-loading machines is different from the mean cycle time for front-loading machines.
OC. This suggests that the mean cycle time for top-loading machines is greater than the mean cycle time for front-loading machines.
D. This suggests that the mean cycle time for top-loading machines is less than the mean cycle time for front-loading machines.
b) What does the fact that the confidence interval does not contain O indicate?
This
provides
evidence that the difference between the mean cycle times for top-loading and front-loading machines is
different from 0
c) If we use this confidence interval to test the hypothesis that uTon - HEront =0, what's the corresponding alpha level?
(Type an integer or a decimal. Do not round.)
Transcribed Image Text:In an issue, Consumer Reports examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type. One of the variables the article reported was "cycle time," the number of minutes it took each machine wash a load of clothes. Among the machines rated good to excellent, the 95% confidence interval for the difference in mean cycle time uTop - HEront is (-44, - 23). Complete parts a through c. a) The endpoints of this confidence interval are negative numbers. What does that indicate? O A. This suggests that there is no difference in the mean cycle time for top-loading machines and the mean cycle time for front-loading machines. O B. This suggests that the mean cycle time for top-loading machines is different from the mean cycle time for front-loading machines. OC. This suggests that the mean cycle time for top-loading machines is greater than the mean cycle time for front-loading machines. D. This suggests that the mean cycle time for top-loading machines is less than the mean cycle time for front-loading machines. b) What does the fact that the confidence interval does not contain O indicate? This provides evidence that the difference between the mean cycle times for top-loading and front-loading machines is different from 0 c) If we use this confidence interval to test the hypothesis that uTon - HEront =0, what's the corresponding alpha level? (Type an integer or a decimal. Do not round.)
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