The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.

a. For a sample of n=70, find the probability of a sample mean being greater than 213 if =212 and =5.9 is _________

(Round to four decimal places as needed.)

b.Would the given sample mean be considered unusual?

The sample mean would or would not be considered unusual or usual because it lies or does not lie within the range of a usual or unusual event, namely within 1 standard or 2 standard deviations or 3 standard deviation of the sample means.