Question

Please hurry A supervisor finds the mean number of miles that the employees in a department live from work. He finds x=29 and s=3.6 . Which statement must be true?

z37 is within 1 standard deviation of the mean.
z37 is between 1 and 2 standard deviations of the mean.
z37 is between 2 and 3 standard deviations of the mean.
z37 is more than 3 standard deviations of the mean.

Answer 1

so it would be 65 per year

Answer 2

37 is between 2 and 3 standard deviations of the mean.

Explanation:

Given that the mean is 29 and the standard deviation is 3.6, then, 2 standard deviations of the mean is 29 + 2*3.6 = 36.2, and 3 standard deviations of the mean is 29 + 3*3.6 = 39.8. So, 37 is between 2 and 3 standard deviations of the mean.