Please find B,C, and D

Question 12 of 27 This test: 62 point(s) possible This question: 6 point(s) possible Submit test The waiting time to check out of a supermarket has had a population mean of 8.46 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which there is a single waiting line with multiple checkout servers. A sample of 80 customers was selected, and their mean waiting time to check out was 7.76 minutes with a sample standard deviation of 4.2 minutes. Complete parts (a) through (d). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. b. At the 0.01 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 8.46 minutes? What is the p-value for this test? (Round to four decimal places as needed.) What is the conclusion for this test? Since the p-value is than a Ho. There is evidence to conclude that the population mean waiting time to check out is less than 8.46 minutes. c. Interpret the meaning of the p-value in this problem. Choose the correct answer below. O A. The p-value is the probability of obtaining a sample whose mean is 7.76 minutes or greater, assuming the population mean is greater than or equal to 8.46 minutes. O B. The p-value is the probability of obtaining a sample whose mean is 7.76 minutes or less, assuming the population mean is greater than or equal to 8.46 minutes. O C. The p-value is the probability of obtaining a sample whose mean is 7.76 minutes or less, assuming the population mean is less than 8.46 minutes. d. Compare your conclusions in (a) and (b). Which of the following statements best describes the relationship between the conclusions in (a) and (b)? A. The conclusions are the same because the critical value approach and the p-value approach are mathematically identical. O B. The conclusions are the same, by sheer coincidence. O C. The conclusions are different because the critical value approach and the p-value approach are two fundamentally different statistical methods. O D. The conclusions are unrelated. Time Remaining: 01:01:10 Next