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A Statistics Teacher Started Class One Day by Drawing the Names

question 38

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A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. The 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. Suppose the distribution of the population of number of pushups that can be done is approximately normal. What is the standard error of the mean?


Definitions:

Standard Deviation

A measure of the amount of variation or dispersion in a set of values.

Confidence Interval

A range of data figures, acquired from sample analysis, predicted to include the value of an unacknowledged population characteristic.

Confidence Interval

A range of values, derived from sample statistics, that is believed to contain the true value of a population parameter with a specified level of confidence.

Population Proportion

The fraction or percentage of members in a population that exhibit a particular trait or characteristic.

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