The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,543 hours. The population standard deviation is 1,080 hours. A random sample of 81 light bulbs indicates a sample mean life of 7,243 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,543 hours? b. Compute the p-value and interpret its meaning- C. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H. What is the test statistic? Test Staticite = (Round to two decimal places as needed.) What is/are the critical value(s)? (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho- There is not sufficient evidence to prove that the mean life is different from 7.543 hours. O B. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,543 hours O C. Reject Hy. There is not sufficient evidence to prove that the mean life is different from 7,543 hours. O D. Fail to reject Hy- There is sufficient evidence to prove that the mean life is different from 7,543 hours. b. What is the p-value? (Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. Fail to reject Ho- There is sufficient evidence to prove that the mean life is different from 7,543 hours. O B. Fail to reject Hp. There is not sufficient evidence to prove that the mean life is different from 7 543 hours, O C. Reject Hy. There is sufficient evidence to prove that the mean life is different from 7,543 hours O D. Reject Hy. There is not sufficient evidence to prove that the mean life is different from 7,543 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. sus(Round to one decimal place as needed.) d. Compare the results of (a) and (c). What conclusions do you reach