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 ? = .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.
a. p-value = .0124 < .05, so reject H0: ? = 20
z-score = 2.50 > 1.96, so reject H0: ? = 20
b. confidence interval 20.09 to 20.74 does not include 20, so reject H0: ? = 20
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