# Hypothesis testing and value of test statistic

The mean cleanup and redecorating time for a one-bedroom student apartment at campus Housing is 16 hours. The time for the cleanup and redecorating process follows the normal distribution. The campus Housing administration instituted a "fee and fine system" that encourages students to clean their apartments when they vacate them. This should shorten the cleanup and redecorating time. A sample of 15 apartments had a mean cleanup and redecorating time of 14.5 hours with a standard deviation of 1.5 hours. Does use of the "fee and fine system" decrease the cleanup and redecorating time? Follow the five-step hypothesis testing procedure using the 0.05 significance level.

a. State the null and alternate hypotheses.

H0:_____________________________________________________________ H1:_____________________________________________________________

b. What is the level of significance?

c. Compute the value of the test statistic.

d. Formulate the decision rule.

e. What is your decision regarding the null hypothesis? Interpret the result.

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#### Solution Preview

a. State the null and alternate hypotheses.

H0 :_the mean of the "fee and fine system" equal the cleanup and redecorating time

H0 : Âµ = 16

H1:_the mean of the "fee and fine system" decrease the cleanup and redecorating time

H1 : Âµ < 16

b. What is the level of significance?

Level of significance:

...

#### Solution Summary

Hypothesis testing and the value of a test statistic are examined for a cleanup and redecorating process. The data follows normal distribution.