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:

Convenience Stores

Small retail businesses that aim to sell everyday items such as snacks, beverages, and household goods, emphasizing quick service and easy access.

Warehouse Clubs

Large retailers with an irregular assortment, low service levels, and low prices that often require membership for shoppers.

Level of Service

A measure of the quality and efficacy of a service provided to customers, often evaluated based on customer satisfaction and performance metrics.

Specialty Store

A type of retailer that concentrates on a limited number of complementary merchandise categories in a relatively small store.