A bulb manufacturer claims that the lives of its bulbs are normally distributed with a mean of 6000 hours and a standard deviation of 400 hours. A random sample of 16 bulbs had an average life of 5850 hours. If the manufacturer’s claim is correct-
a. What is the sampling distribution of the sample mean?
b. what is the probability of finding a sample mean of 5850 or less?
a. If the population is normally distributed, then the sampling distribution of is normally distributed for any sample size
Let the sample mean:
Given
b.
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