A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 764 hours. A random sample of 28 light bulbs has a mean life of 737 hours. Assume the population is normally distributed and the population standard deviation is 62 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H 2 764 (claim) O B. Ho: HS737 O C. Ho: H = 737 Ha: H 737 (claim) Ha: H # 737 (claim) O D. Ho: H # 764(claim) O E. Ho: H 764 Ha: H = 764 Ha: H 2 737 Ha: H s 764 (claim) (b) Identify the critical value(s). Use technology. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. O B. O C. Fail to reject Ho. Fail to reject Ho Fail to reject Ho Reject Ho. Reject Ho- Reject Ho - Reject Ho- (c) Identify the standardized test statistic. Use technology. z=(Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. O A. Reject Ho- There is sufficient evidence to reject the claim that mean bulb life is at least 764 hours. O B. Reject Ho- There is not sufficient evidence to reject the claim that mean bulb life is at least 764 hours O C. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 764 hours. O D. Fail to reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 764 hours. Next