Test Hypotheses Regarding the Difference of Two Independent Means
-Test $\mu _ { 1 } > \mu _ { 2 }$

question 42

Short Answer

Test Hypotheses Regarding the Difference of Two Independent Means
-Test the hypothesis that $\mu _ { 1 } > \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.01$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 100 & \mathrm { n } _ { 2 } = 125 \\\overline { \mathrm { x } } 1 = 765 & \overline { \mathrm { x } } 2 = 750 \\\mathrm {~s} _ { 1 } = 45 & \mathrm {~s} _ { 2 } = 25\end{array}$$

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Definitions:

Exponentiation

mathematical operation involving two numbers, where one number is raised to the power of another.

Addition

A mathematical operation that represents the total sum of two or more numbers.

Multiplication

A mathematical operation that calculates the total of one number added to itself a certain number of times based on another number.

Addition

The mathematical process of combining two or more quantities to get a sum.