Instruction 2 $$\begin{array} { | l | l | } \hline X & f \\\hline 1 & 14 \\\hline 2 & 18 \\\hline 3 & 12 \\\hline 4 & 5 \\\hline 5 & 1 \\\hline\end{array}$$

question 32

Multiple Choice

Instruction 2.1
An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last three years, with the following results.
$$\begin{array} { | l | l | } \hline X & f \\\hline 1 & 14 \\\hline 2 & 18 \\\hline 3 & 12 \\\hline 4 & 5 \\\hline 5 & 1 \\\hline\end{array}$$
-Referring to Instruction 2.1,how many drivers are represented in the sample?

• A) 18
• B) 50
• C) 5
• D) 15

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Definitions:

Pooled Variance

Acombined estimate of variance for two or more groups in a sample, assuming that the populations have equal variances.

Sampling Distribution

The distribution of a statistic (like the mean or variance) derived from a large number of samples drawn from a specific population.

Sample Mean Difference

The difference between the average values from two samples, used in hypothesis testing to compare two groups.

Equal-variances Test

A statistical test used to determine if two populations have the same variance.