Question

3. A quality control manager at an amusement park feels that the amount of time that people spend waiting in line for the American Eagle is too long. To determine if a new loading procedure if effective in reducing wait time, he measure the amount of time people wait in line on 7 days and then measures the amount of time after he implements the new system. the wait times at the same time during the 7 day period and twice on Saturday and Sunday The data is given below. To make sure the test is fair, he measure is recorded in the table below. A normal probability plot for the data and a boxplot indicate that the The data differences are approximately normally distributed and there are no outliers Day and time Wait time before Wait time after Monday (2 pm) 11.6 Tuesday (2 pm) 25.9 Wednesday (2 pm)20.0 Thursday (2 pm) 38.2 Friday (2 pm) 57.3 Saturday (11 am) 32.1 Saturday (4 pm) 81.8 10.7 28.3 19.2 35.9 59.2 31.8 75.3 Sunday (12 noon) 57.1 Sunday (4 pm) 62.8 54.9 62.0 Test the hypothesis that the quality control specialist had that his new system decreases wait time. a. What type of test will you use? b. State: c. State the p-value- d. Conclusion:

Answer 1

2201. From the Excel output, the t-test statistics is The p-value for this test is, From the Excel output, thep-value for this test is 0.1286 d) Decision The conclusion is that p-value in this context is higher than 0.05 which is 0.1286, so the null hypothesis is not rejected at 5% level of significance. There is insufficient evidence to indicate that the quality control specialist had that his new system decreases wait time. The result is not statistically significant