[Step-by-Step] The mean time to failure of a light bulb is normally distributed with a mean of 10000 hours and a standard deviation of 900 hours. Random
Question: The mean time to failure of a light bulb is normally distributed with a mean of 10000 hours and a standard deviation of 900 hours.
Random samples of size 64 are taken from a large population whose mean is 160 and whose standard deviation is 25. What is the mean of the sampling distribution of the sample mean?
- What is the standard error of the sampling distribution of the sample mean?
- What is the probability that the sample mean is at least 158?
- What is the probability that the sample mean lies between 155 and 165?
- If the sample mean was actually 150, would you consider that unusual?
Deliverable: Word Document 
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