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Q. 26

Expert-verifiedFound in: Page 478

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

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 $\overline{X}$.

$\overline{X}$ is the mean.

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 $30.4$.

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 $\overline{X}=30.4$

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