Answer to Question #262521 in Statistics and Probability for Maya

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 weather conditions are similar.

Mon. Tues. Wed. Thurs. Fri. Sat. Sun

2 pm. 2 pm. 2 pm. 2 pm. 2 pm. 4 pm. 12 noon

Wait time before x1 12. 26. 20. 38. 57. 82 57

Wait time before 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.