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

question 60

Multiple Choice

Test Hypotheses Regarding the Difference of Two Independent Means
-Find the standardized test statistic to test the hypothesis that $\mu _ { 1 } < \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.05$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 35 & \mathrm { n } _ { 2 } = 42 \\\overline { \mathrm { x } } 1 = 20.04 & \overline { \mathrm { x } } 2 = 22.59 \\\mathrm {~s} _ { 1 } = 2.9 & \mathrm {~s} _ { 2 } = 2.8\end{array}$$

• A) \(- 3.90\)
• B) \(- 3.16\)
• C) \(- 2.63\)
• D) \(- 1.66\)

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Definitions:

Quantitative

Relating to, measuring, or measured by the quantity of something rather than its quality.

Hypothesis

A tentative statement about a particular relationship (between objects, people, or groups of people) that can be tested empirically.

Tentative Statement

A provisionary or preliminary statement made with uncertainty, subject to further verification or investigation.

Deductive Presupposition

A logical process where general principles are applied to make specific assumptions or deductions.