Fast ‘n Clean operates 12 laundromats on the east side of the city. All of Fast ‘n Clean’s clothes dryers have a label stating “20 minutes for $1.00.” You question the accuracy of the dryers’ clocks and decide to conduct an observational study. You randomly select 36 dryers in several different Fast ‘n Clean locations, put $1.00 in each and time the drying cycle. The sample mean drying time is 20 minutes and 25 seconds. The manufacturer of the dryer states that the standard deviation for 20-minute drying cycles is 1 minute. a. Using the sample data and α = .05, test the validity of the label on the dryers. Apply the p-value and critical value approaches to conducting the two-tail hypothesis test b. Conduct the same two-tail hypothesis test, but use the confidence interval approach to hypothesis testing.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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Fast ‘n Clean operates 12 laundromats on the east side of the city. All of Fast ‘n Clean’s clothes dryers have a label stating “20 minutes for $1.00.” You question the accuracy of the dryers’ clocks and decide to conduct an observational study. You randomly select 36 dryers in several different Fast ‘n Clean locations, put $1.00 in each and time the drying cycle. The sample mean drying time is 20 minutes and 25 seconds. The manufacturer of the dryer states that the standard deviation for 20-minute drying cycles is 1 minute.

a. Using the sample data and α = .05, test the validity of the label on the dryers. Apply the p-value and critical value approaches to conducting the two-tail hypothesis test

b. Conduct the same two-tail hypothesis test, but use the confidence interval approach to hypothesis testing. 

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