The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability.
For a sample of n=35, find the probability of a sample mean being less than 12,749 or greater than 12,752 when μ=12,749 and σ=1.8
1)For the given sample, the probability of a sample mean being less than 12,749 or greater than 12,752 is ?
(Round to four decimal places as needed.)
2)Would the given sample mean be considered unusual?