Question 27.)

A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telephone company. Samples of 20 problems reported to two different offices of a telephone company and the time to clear these problems (in minutes) from the customers' lines are provided. Complete (a) through (d) below. Click here to view the sample times. a. Assuming that the population variances from both offices are equal, is there evidence of a difference in the mean waiting times between the two offices? (Use H2 Determine the test statistic The value of the test statistic is (Round to 4 decimal places as needed.) i Sample times - X Determine the critical value(s). (Use a comma to separate answers as needed. Round to four decimal places as needed.) The following is a sample of 20 problems reported to the first office and the time (in minutes) to clear those problems. Choose the correct conclusion below. 1.73 1.71 0.80 2.96 0.60 1.58 4.25 3.94 1.60 3.18 1.17 0.43 0.97 1.76 0.59 1.07 6.28 3.86 5.58 0.84 O A. Do not reject Ho . There is sufficient evidence that the means differ. The following is a sample of 20 problems reported to the second office and the O B. Reject Ho. There is insufficient evidence that the means differ. time (in minutes) to clear those problems. O C. Do not reject Ho. There is insufficient evidence that the means differ. 7.60 3.60 0.18 1.11 0.52 0.47 3.25 2.25 0.39 4.17 3.91 0.78 1.97 0.57 1.43 4.33 0.18 1.47 1.62 0.56 O D. Reject Ho. There is sufficient evidence that the means differ. b. Find the p-value in (a) and interpret its meaning. Print Done p-value = (Round to four decimal places as needed.) Which of the following is the correct interpretation of the p-value? A. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result if there is no difference in the mean problem clearing times of O B. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result if there is a difference in the mean problem clearing times of the two offices. the two offices. O C. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result if there is no difference in the sample mean problem clearing O D. The p-value is the probability of getting a test statistic equal to or more extreme than the sample result if there is a difference in the sample mean problem clearing times of the two offices. times of the two offices