Question

Define the random variable $\overline{X}$in words.

Short answer

$\overline{\mathrm{X}}$represents the sample mean.

Step-by-step solution

Given information

Given in the question that, One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of$151$hours each month with a standard deviation of $32$hours. Assume that the underlying population distribution is normal.

Explanation

The average amount of time Americans spend watching television every month.

The statistic $\overline{\mathrm{X}}$is a measure on a sample that is used to calculate the mean of the population from which it is drawn, that is, $\mu$.