Find the Standardized Test Statistic, T, to Test the Claim $\mu _ { 1 } < \mu _ { 2 } .$

question 87

Multiple Choice

Find the standardized test statistic, t, to test the claim that $\mu _ { 1 } < \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 15 & \mathrm { n } _ { 2 } = 15 \\\overline { \mathrm { x } } 1 = 21.2 & \overline { \mathrm { x } } 2 = 23.75 \\\mathrm {~s} _ { 1 } = 2.9 & \mathrm {~s} _ { 2 } = 2.8\end{array}$$

• A)-2.450
• B)-3.165
• C)-1.667
• D)-0.669

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Definitions:

Basic Trust

According to Erik Erikson, a sense that the world is predictable and trustworthy; said to be formed during infancy by appropriate experiences with responsive caregivers.

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or otherwise sensed, typically developed in early infancy.

Imprinting

A form of learning occurring at a particular life stage that is rapid and apparently independent of the consequences of behavior.

Symbolic Thinking

The ability to use symbols, language, or other objects to represent and understand abstract concepts.