Short Answer

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 $\bar{X}$ .

$\bar{X}$ is the mean.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: 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 $30.4$ .

Step 2: Explanation

The mean is the average of a data set. The sample mean symbol is $\bar{X}$ , 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 $\bar{X} = 30.4$

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