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Sample mean probabilities

The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500 psi.

a. What is the probability that the sample mean breaking strength for a random sample of 40 rivets is between 9900 and 10,200.
b. If the sample size had been 15 rather than 40, could the probability requested in part (a) be calculated from the given information?

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This solution finds probabilities related to a sample mean.

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