What is the pvalue for both approches? What is the t-statistic? A quality-contro

Question

What is the pvalue for both approches? What is the t-statistic?

A quality-control manager at an amusement park feels that the amount of time that people spend waiting in line for the roller coaster is too long. To determine if a new loading/unloading procedure is effective in reducing wait time in line, he measures the amount of time (in minutes) people are waiting in line for seven days. After implementing the new procedure, he again measures the amount of time (in minutes) people are waiting in line for seven days and obtains the data in the accompanying table. To make a reasonable comparison, he chooses days when weather conditions are alike. Complete parts (a) through (c) below Click the icon to view the data table (a) Using the randomized complete block design, determine whether there is sufficient evidence to conclude that the two loading procedures are resulting in different measurements of the wait time at the = 0.05 level of significance. Treat each day as a block and the wait times before and after the procedure as the treatment. Let be the mean wait time before the procedure and 2 be the mean wait time after the procedure. What is the null hypothesis? Waiting Time What is the alternative hypothesis? Da Wait time before new procedure Wait time after new procedure Mon Tues Wed Thurs Fri Sat Sun 15.9 29.3 20.0 39.5 57.3 32.1 81.8 10.7 28.3 18.4 35.9 61.3 31.8 75.3 Use technology, what is the P-value of the test? Round to three decimal places as needed.) PrintDone

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Wait Time Before and Wait Time After
H0 : D = 0
HA : D 0
Hypothesis test results:

Hence,

p - Value = 0.175

t - statistic = 1.54

Difference Mean Std. Err. DF T-Stat P-value Wait Time Before - Wait Time After 2.0285714 1.3192195 6 1.5377057 0.175

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