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.

role="math" localid="1648388299408" $\overline{x}=\_\_\_\_\_$

Short answer

The mean$\overline{X}=30.4$.

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 $15$.

Explanation

In statistics, the x-bar sign, $\overline{X}$, is used to express the mean of a data set.

Here, the mean age for the sample was $30.4$