A Statistician Investigating the Relationship Between the Amount of Precipitation

question 96

Essay

A statistician investigating the relationship between the amount of precipitation (in inches) and the number of car accidents gathered data for 10 randomly selected days. The results are presented below. $$\begin{array} { | c | c | c | } \hline \text { Day } & \text { Precipitation } & \text { Number of accidents } \\\hline 1 & 0.05 & 5 \\\hline 2 & 0.12 & 6 \\\hline 3 & 0.05 & 2 \\\hline 4 & 0.08 & 4 \\\hline 5 & 0.10 & 8 \\\hline 6 & 0.35 & 14 \\\hline 7 & 0.15 & 7 \\\hline 8 & 0.30 & 13 \\\hline 9 & 0.10 & 7 \\\hline 10 & 0.20 & 10 \\\hline\end{array}$$ Estimate with 95% confidence the mean daily number of accidents when the daily precipitation is 0.25 inches.

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Definitions:

Opportunity Cost

The loss of potential gain from other alternatives when one alternative is chosen, representing the cost of sacrificing the next best choice.

Oranges

A citrus fruit rich in vitamin C, grown in warm climates, and consumed either fresh or in juice form.

Peaches

Edible juicy fruits with fuzzy skins and a sweet taste, often grown in temperate regions.

Absolute Advantage

The skill of a person, business, or nation to generate a product or offer a service more affordably per unit than any other competitor.