A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 766 hours. A random sample of 30 light bulbs has a mean life of 754 hours. Assume the population is normally distributed and the population standard deviation is 61 hours. At α=0.08​, do you have enough evidence to reject the​ manufacturer's claim? Complete parts​ (a) through​ (e).   Identify the critical​ value(s). Use technology. Identify the standardized test statistic. Use technology. ​(d) Decide whether to reject or fail to reject the null​ hypothesis, and​(e) interpret the decision in the context of the original claim

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