Answer to Question #44690 in Statistics and Probability for Espy Ugarte

Question

7. A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 875 hours. A random sample of 58 light bulbs has a mean life of 852 hours with a standard deviation of 95 hours. Do you have enough evidence to reject the manufacturer’s claim? Use a = 0.09.
a. Identify the null hypothesis and alternative hypothesis.
b. Identify the critical value (s). Use a comma to separate answers as needed
c. Identify the standardized test statistic.
d. Decide whether to reject or fail to reject the null hypothesis.