A Statistician Wants to Test for the Equality of Means

question 45

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: $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | l | } \hline \text { Sample 1: } & 7 & 9 & 6 & 15 & 7 & 10 & 8 & 12 & & \\\hline \text { Sample 2: } & 2 & 25 & 9 & 15 & 10 & 18 & 5 & 22 & 27 & 3 \\\hline\end{array}$$ Estimate with 95% confidence the ratio of the two population variances.

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Definitions:

Risky Shift

The phenomenon where a group collectively decides on a course of action that is more extreme than they would have decided individually.

Group Polarization

The tendency for a group to make decisions that are more extreme than the initial inclination of its members following group discussion.

Political Organization

A political organization refers to a group structured to promote, pursue, and achieve political objectives and ideologies.

Groupthink

a psychological phenomenon that occurs within a group of people when the desire for harmony or conformity results in an irrational or dysfunctional decision-making outcome.