In Order to Compare the Means of Two Populations, Independent $\begin{array}{ll}\text { Sample 1 } & \text { Sample 2 } \\\bar{x}_{1}=478 & \bar{x}_{2}=481 \\s_{1}=14.2 & s_{2}=11.2\end{array}$

question 78

Essay

In order to compare the means of two populations, independent random samples of 225 observations are selected from each population with the following results. $\begin{array}{ll}\text { Sample 1 } & \text { Sample 2 } \\\bar{x}_{1}=478 & \bar{x}_{2}=481 \\s_{1}=14.2 & s_{2}=11.2\end{array}$

Test the null hypothesis $H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0$ against the alternative hypothesis $H _ { \mathrm { a } } : \left( \mu _ { 1 } - \mu _ { 2 } \right) \neq 0$ using $\alpha = .10$ . Give the significance level, and interpret the result. Give the significance level, and interpret the result. 4 Conduct Pooled Hypothesis Test

Critically evaluate logical inferences to determine the accuracy and validity of arguments.

Recognize the structure and justification of logical proofs.

Understand the relationship between premises, conclusions, and the rules that connect them.

Understand the criteria for evaluating deductive and inductive arguments.

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