Chapter 7, Problem T7.10SPT

To determine

To find: the shape of the sampling distribution of $\overline{x}$ will be.

Answer to Problem T7.10SPT

Symmetric but not normal

Explanation of Solution

Get paid $80 or $40 every week.

A simple arbitrary sample is having 2 weeks, the average of 2 weeks. It is twice as likely to obtain $60, and then it is to get $40and $80, because it can obtain $40 during the first week

Therefore the distribution would be symmetric about $60, but normal.

Hence, the correct option is (e)