A problem with a telephone line that prevents a customer from receiving or making calls is disconcerting to both the customer and the telephone company. The data in the accompanying table represent samples of 10 problems reported to two different offices of a telephone company and the time to clear these problems?(in minutes) from the?customers' lines. Complete parts?(a) through?(c).
A problem with a telephone line that prevents a customer from receiving or making calls is disconcerting to both the customer and the telephone company. The data in the accompanying table represent samples of 10 problems reported to two different offices of a telephone company and the time to clear these problems (in minutes) from the customers' lines. Complete parts (a) through (c). Click the icon to view the data table. i More Info X a. Assuming that the population variances from both offices are equal, is there evidence of a difference in the mean waiting time between the two offices? (Use a = 0.01.) O A. Reject Ho. There is insufficient evidence that the means differ. Office A Office B ).78 0.67 O B. Do not reject Ho. There is insufficient evidence that the means differ. 0.73 0.43 0.71 0.17 O C. Do not reject Ho. There is sufficient evidence that the means differ. 1.22 0.69 1.57 0.67 O D. Reject Ho. There is sufficient evidence that the means differ. 1.17 1.43 2.05 2.12 b. Determine the p-value in (a) and interpret its meaning. 3.83 2.04 5,76 3.41 p-value = 5.86 4.56 (Round to three decimal places as needed.) Interpret the p-value. Choose the correct answer below. Print Done O A. The p-value is the probability of obtaining a test statistic equal to or more extreme than the sample result if there is a difference in the mean waiting time between office A and office B. O B. The p-value is the probability that there is a significant difference in the mean waiting time between office A and office B. O C. The p-value is the probability of obtaining a test statistic equal to or more extreme than the sample result if there is no difference in the mean waiting time between office A and office B. c. What other assumption is necessary in (a)? O A. Since the sample sizes are both less than 30, the sample sizes must be equal. O B. Since the sample sizes are both less than 30, it must be assumed that both sampled populations are approximately normal. O C. Since the sample sizes are both less than 30, it must be assumed that the samples are specifically chosen and not independently sampled. O D. Since the sample sizes are both less than 30, it must be assumed that both sampled populations are not approximately normal