The breaking strength 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 the sample mean breaking strength. What sample n would be necessary in order to have to have a probability of 0.99 that the sample mean is between 4900 and 5100?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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The breaking strength 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 the sample mean breaking strength. What sample n would be necessary in order to have to have a probability of 0.99 that the sample mean is between 4900 and 5100?

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