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The Local Swim Team Is Considering Offering a New Semi-Private σ\sigma

question 35

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The local swim team is considering offering a new semi-private class aimed at entry-level swimmers,but needs at minimum number of swimmers to sign up in order to be cost effective.Last year's data showed that during 8 swim sessions the average number of entry-level swimmers attending was 15.Suppose the instructor wants to conduct a hypothesis test.The alternative hypothesis for this hypothesis test is: "the population mean is less than 15".The sample size is 8, σ\sigma is known,and alpha =.05,the critical value of z is _______.

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Definitions:

Mean Absolute Deviation

The average of the absolute differences between each value in a set of values and the mean of the set, used to quantify variability.

Sum of Squares

A statistical technique used to describe the amount of variation or dispersion of a set of data points.

Mean Absolute Deviation

The mean absolute deviation is a measure of dispersion in a dataset, calculated as the average of the absolute differences between each data point and the dataset's mean.

Sum of Squares

A measure used in statistics to describe the variability of data points around the mean or another value.

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