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A Statistician Wants to Test for the Equality of Means

question 10

Essay

A statistician wants to test for the equality of means in two independent samples drawn from normal populations. However, he will not perform the equal-variance t-test of the difference between the population means if the condition necessary for its use is not satisfied. The data are as follows:  Sample 1: 79615710812 Sample 2: 2259151018522273\begin{array} { | l | l | l | l | l | l | l | l | l | l | l | } \hline \text { Sample 1: } & 7 & 9 & 6 & 15 & 7 & 10 & 8 & 12 & & \\\hline \text { Sample 2: } & 2 & 25 & 9 & 15 & 10 & 18 & 5 & 22 & 27 & 3 \\\hline\end{array} Briefly describe what the interval estimate in the previous question tells you.


Definitions:

Intelligence B

Hebb’s term for observed intelligence, influenced by experience and other factors in the course of development; measured by intelligence tests.

Parietal Association Cortex

Part of the parietal lobe that integrates sensory information from different modalities, particularly determining spatial sense and navigation.

Lesion

Any damage or abnormal change in the tissue of an organism, often caused by disease or trauma.

Psychological Construct

Idea or set of impressions that some mental ability exists as an entity; memory, language, and emotion are examples.

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