Independent Random Samples Selected from Two Normal Populations Produced the Following

question 52

Essay

Independent random samples selected from two normal populations produced the following sample means and standard deviations.
$\begin{array}{ll}\text { Sample 1 } & \text { Sample 2 } \\n_{1}=14 & n_{2}=11 \\\bar{x}_{1}=7.1 & \bar{x}_{2}=8.4 \\s_{1}=2.3 & s_{2}=2.9\end{array}$

Find and interpret the $95 \%$ confidence interval for $\left( \mu _ { 1 } - \mu _ { 2 } \right)$ .

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Definitions:

Sample Proportions

The percentage of times a characteristic occurs in a sample as compared to the total sample size.

Population Variances

A measure of dispersion that indicates how much individual members of a population deviate from the population mean.

Rejection Region

In hypothesis testing, the range of values for which the null hypothesis is rejected in favor of the alternative hypothesis.

Population Variances

A measure of the dispersion of all the data points in a population from the mean.