Problem 7 (10%). The breaking strength X of a certain rivet used in a machine engine has a mean 5000 psi and standard de
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Problem 7 (10%). The breaking strength X of a certain rivet used in a machine engine has a mean 5000 psi and standard de
Problem 7 (10%). The breaking strength X of a certain rivet used in a machine engine has a mean 5000 psi and standard deviation 400 psi. A random sample of 36 rivets is taken. Consider the distribution of X, the sample mean breaking strength. (1) What is the probability that the sample mean falls between 4800 psi and 5200 psi? (2) What sample size n would be necessary in order to have P(4900 < X < 5100) = 0.99? Please show your steps.
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