The Temperatures on Randomly Chosen Days During a Summer Class $\alpha = .01$

question 11

Essay

The temperatures on randomly chosen days during a summer class and the number of absences from class on those days are listed below. Can you conclude that there is a correlation between the temperature and the number absent? Use $\alpha = .01$ .
$\begin{array}{l|ccccccccc}\text { Temp } & 68 & 81 & 87 & 86 & 84 & 94 & 71 & 96 & 76 \\\hline \text { Absences } & 1 & 5 & 8 & 8 & 6 & 13 & 2 & 13 & 3\end{array}$

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Definitions:

Wilcoxon Signed Rank

The Wilcoxon Signed Rank Test is a non-parametric statistical test used to compare two related samples, matched samples, or repeated measurements on a single sample to assess differences in their population mean ranks.

Normally Distributed

Describes a statistical distribution that is symmetric around the mean, showing that data near the mean are more frequent in occurrence.

F-distribution

A probability distribution used in analysis of variance (ANOVA), depicting ratios of variances to assess the significance of group differences.

Kruskal-Wallis Test

A nonparametric method for testing whether samples originate from the same distribution, used when the assumptions of the ANOVA are not met.