Answer to Question #262575 in Statistics and Probability for Question #260985

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. (12 points)

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.