Translate the question into a probability statement. Clearly define your random variable (X or X bar).

A. Translate the question into a probability statement.

B. Clearly define your random variable (X or X bar).

1. Last year a company began a program to compensate its employees for unused sick days, paying each employee a bonus of one-half the usual wage earned for each unused sick day. The question that naturally arises is: "Did this policy motivate employees to use fewer sick days?" Before last year, the number of sick days used by employees had a distribution with a mean of 7 days and a standard deviation of 2 days. Assuming that the policy did not change these numbers, find the probability that the sample mean number of sick days used by 100 employees chosen at random was less than or equal to 6.4 last year.