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 218 if =217 and =3.5.

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Part 1

For a sample of n=70, the probability of a sample mean being greater than 218 if =217 and =3.5 is ?

(Round to four decimal places as needed.)

Part 2

Would the given sample mean be considered unusual?

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