Answer to Question #261953 in Statistics and Probability for HU2

Question

A quality-control manager at an amusement park feels that the amount of time that people spend waiting in line to ride the roller coaster is too long. To determine if a new loading and unloading procedure is effective in reducing the wait time, she measures the amount of time (in minutes) people are waiting in line for seven days. To make a reasonable comparison, she chooses times when whether conditions are similar.

        

                                              Mon       Tues      Wed      Thurs       Fri         Sat          Sun

                                             2 p.m.    2 p.m.    2 p.m.    2 p.m.    2 p.m.    4 p.m.    12 noon

        Wait time before, 𝑋₁       12          26          20          38          57          82            57

        Wait time after, 𝑋₂          11          28          19          36          59          75            55

         

 

Is the new loading and unloading procedure effective in reducing the wait time at the α = 0.05 level of significance?

 

 

a.      State the hypothesis and identify the claim of the researcher.

b.     Find the critical value(s).

c.      Compute the test value.

d.     Make a decision on the null hypothesis.

e.      Make a decision on the claim of the researcher.