Question

The mean age for all Foothill College students for a recent Fall term was $33.2$. The population standard deviation has been pretty consistent at $15$. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was $30.4$. We are interested in the true mean age for Winter Foothill College students. Let $X=$the age of a Winter Foothill College student.

In words, define the random variable $\overline{X}$.

Short answer

$\overline{X}$is the mean.

Step-by-step solution

Given Information

The mean age for all Foothill College students for a recent Fall term was $33.2$. The population standard deviation has been pretty consistent at $15$. The mean age for the sample was $30.4$.

Explanation

The mean is the average of a data set. The sample mean symbol is $\overline{X}$, pronounced “x bar”. The sample mean is an average value found in a sample.

The mean age for the sample of twenty-five Winter students is$\overline{X}=30.4$