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 7,474 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,324 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,474 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, . Ho: H = H1:H What is the test statistic? ZSTAT = (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 7,474 hours. O B. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,474 hours. O C. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,474 hours. O D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,474 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 7,474 hours. O B. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,474 hours. O C. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,474 hours. O D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,474 hours