The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=70, find the probability of a sample mean being greater than 214 if =213 and =5.9.

For a sample of n=70, the probability of a sample mean being greater than 214 if =213 and =5.9 is 1.418

Would the given sample mean be consideredunusual?

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