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In Order to Compare the Means of Two Populations, Independent  Sample 1  Sample 2 xˉ1=478xˉ2=481s1=14.2s2=11.2\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 46

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.  Sample 1  Sample 2 xˉ1=478xˉ2=481s1=14.2s2=11.2\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 H0:(μ1μ2)=0H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0 against the alternative hypothesis Ha:(μ1μ2)0H _ { \mathrm { a } } : \left( \mu _ { 1 } - \mu _ { 2 } \right) \neq 0 using α=.10\alpha = .10 . Give the significance level, and interpret the result.

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Definitions:

Opposite

Being entirely different or sharply contrasting in position, direction, or character.

New Perspective

A fresh viewpoint or innovative approach to looking at a problem, situation, or system.

Habit-Breaking Strategy

A method or plan designed to help individuals break free from routines or behaviors that are considered harmful or unproductive.

Using Memory

The process of leveraging cognitive recall for practical application in learning, problem-solving, and task execution.

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