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The mean cleanup and redecorating time for a one-bedroom studentapartment at cam

ID: 2955015 • Letter: T

Question

The mean cleanup and redecorating time for a one-bedroom studentapartment at campus Housing is 16 hours. The time for the cleanupand redecorating process follows the normal distribution. Thecampus Housing administration instituted a “fee and finesystem” that encourages students to clean their apartmentswhen they vacate them. This should shorten the cleanup andredecorating time. A sample of 15 apartments had a mean cleanup andredecorating time of 14.5 hours with a standard deviation of 1.5hours. Does use of the “fee and fine system” decreasethe cleanup and redecorating time? Follow the five-step hypothesistesting procedure using the 0.05 significance level.

µ (populationmean):                          _______

(population standard deviation):    _______

X (samplemean):                               _______

s (sample standarddeviation):           _______

(significancelevel):                         _______

(populationproportion):                  _______

p (sampleproportion):                        _______

        a.   State the null and alternatehypotheses.

              H0: __________________

           

              H1:__________________                          

        

        b.   Find the critical value

        c.   State the decision rule.

                    

        d.   Compute the value of the teststatistic.

         e. Find the p-value

Explanation / Answer

Given n=15, xbar=14.5, s=1.5 (a) The test hypothesis is Ho:=16 Ha:
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