A magazine examined top-loading and front-loading washing machines, testing samples of several different brands of each type. One of the variables the magazine reported was “cycle time,” the number of minutes it took each machine to wash a load of clothes. The 98% confidence interval for the difference in mean cycle time (μtop − μfront) is (−40, −22). The endpoints of this confidence interval are negative numbers. What does that indicate? We can use the confidence interval from (a) to test the hypotheses below. H0: μtop − μfront = 0 HA :μtop − μfront ≠ 0 What’s the corresponding alpha level for this test? What do you conclude?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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  1. A magazine examined top-loading and front-loading washing machines, testing samples of several different brands of each type. One of the variables the magazine reported was “cycle time,” the number of minutes it took each machine to wash a load of clothes. The 98% confidence interval for the difference in mean cycle time (μtop − μfront) is (−40, −22).
    1. The endpoints of this confidence interval are negative numbers. What does that indicate?
    2. We can use the confidence interval from (a) to test the hypotheses below.   

H0: μtop − μfront = 0

HA :μtop − μfront ≠ 0 

What’s the corresponding alpha level for this test?

What do you conclude?

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