Independent Simple Random Samples of Sizes 120 and 150 Are

question 45

Essay

Independent simple random samples of sizes 120 and 150 are taken from two populations with the intent of performing a hypothesis test to compare the means. Prior data analyses have indicated that the two population standard deviations are equal; however, the variable under consideration is not normally distributed on either population. Is it reasonable to use the pooled t-test in this situation? Explain your answer.

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Definitions:

Certainty Bias

The tendency for individuals to favor information or options that appear more certain or less ambiguous.

Temporal Discounting

The tendency to value immediate rewards more highly than future rewards, leading to decisions that favor short-term gains over long-term benefits.

Omission Bias

The tendency to favor inaction over action, based on the assumption that harm caused by doing nothing is less morally reprehensible than harm caused by acting.

Reactance

A psychological reaction that occurs when an individual feels their freedom to choose is being restricted, leading them to resist or do the opposite of what is being imposed.