Suppose that components have weights that are normally distributed with µ = 511 and σ = 3.11. An experimenter measures the weights of a random sample of 31 components in order to estimate µ. What is...

Suppose that components have weights that are normally distributed with µ = 511
and σ = 3.11. An experimenter measures the weights of a random sample of 31 components
in order to estimate µ. What is the probability that the experimenters estimate of µ will be
less than 515?