A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 769 hours. A random sample of 29 light bulbs has a mean life of 756 hours. Assume the population is normally distributed and the population standard deviation is 64 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. | B. Ha: A = 756 OA. Ho: <756 (claim) H₂H2756 D. Ho: H769(claim) H:H=769 (b) Identify the critical value(s). Use technology. Zo Ha: *756 (claim) E. Ho: 2769 (claim) H₂H<769 -2.05 OC. Ho: H769 Haus 769 (claim) OF. Ho: S756 H₂: >756 (claim)

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