(Solved): The breaking strength \( X \) of a certain rivet used in a machine engine has a mean 5000 psi and s ...
The breaking strength \( X \) of a certain rivet used in a machine engine has a mean 5000 psi and standard deviation 200 psi. A random sample of 36 rivets is taken. Consider the distribution of \( \bar{X} \), the sample mean breaking strength. (a) What is the probability that the sample mean falls between 4920 psi and 5080 psi? (b) What sample \( n \) would be necessary in order to have \( P(4950<\overline{\mathrm{X}}<5050)=0.99 \) ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.