A Statistician Investigating the Relationship Between the Amount of Precipitation

question 92

Essay

A statistician investigating the relationship between the amount of precipitation (in inches)and the number of automobile accidents gathered data for 10 randomly selected days.The results are shown below.(We cannot assume these variables have normal distributions. )
$$\begin{array} { | c | c | c | } \hline \text { Day } & \text { Precigitation } & \begin{array} { c } \text { Mumber of } \\\text { Accidents }\end{array} \\\hline 1 & 0.05 & 5 \\2 & 0.12 & 6 \\3 & 0.05 & 2 \\4 & 0.08 & 4 \\5 & 0.10 & 1 \\6 & 0.35 & 14 \\7 & 0.15 & 7 \\8 & 0.30 & 13 \\9 & 0.10 & 7 \\10 & 0.20 & 10 \\\hline\end{array}$$ Calculate the Spearman rank correlation coefficient,and test to determine at the 5% significance level whether we can infer that a linear relationship exists between the number of accidents and the amount of precipitation.

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