Question 632573: Your boss has determined that the average salary of your coworkers is 40,000$ with a standard deviation of 15,000$. A sample of 25 of the employee salaries were selected at random. Assuming that the distribution of the salaries is normal, what is the probability that the average for this sample is between 36,000$ and 42,000$?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Your boss has determined that the average salary of your coworkers is 40,000$ with a standard deviation of 15,000$. A sample of 25 of the employee salaries were selected at random. Assuming that the distribution of the salaries is normal, what is the probability that the average for this sample is between 36,000$ and 42,000$?
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Find the z-score of 36000 and of 42000.
Then find the probability that z lies between those two z-values.
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Ans: 0.1582
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Cheers,
Stan H.
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