The Output Below Displays the Mean and Median for the State

question 157

Essay

The output below displays the mean and median for the state high school dropout rates in
year 1 and in year 5. $$\begin{array} { l r r } & \text { Year 1 } & \text { Year 5 } \\\text { N } & 51 & 51 \\\text { MEAN } & 28.97 & 26.36 \\\text { MEDIAN } & 27.42 & 25.25\end{array}$$ Use the information to determine the shape of the distributions of the high school dropout
rates in year 1 and year 5.

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Definitions:

Standardized Test Statistic

A statistic that has been transformed to have a mean of zero and a standard deviation of one, used in hypothesis testing.

P-value

A statistical measure that helps scientists and researchers determine the significance of their results, representing the probability of observing the collected data, or something more extreme, if the null hypothesis were true.

Z-test Approximation

A statistical method that uses the Z-distribution to approximate the significance of observed differences, typically used when sample sizes are large and the standard deviation is known.

Wilcoxon Test Statistic

A non-parametric test statistic used to compare two paired samples to assess whether their population mean ranks differ.