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A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 750 hours. A random sample of 25 light bulbs has a mean life of 745 hours. Assume the population is normally distributed and the population standard deviation is 60 hours. At α = 0.02, do you have enough evidence to reject the manufacturer's claim?
a. Identify the claim and state H0 and Ha.
b. Find the standardized test statistic z or t OR find the corresponding P-value.
c. Identify the type of test. Compare the p-value with α OR the standardized test statistic with the critical value of z or t
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