Random Samples from Two Normal Populations Produced the Following Statistics $n _ { 1 } = 10$

question 143

Essay

Random samples from two normal populations produced the following statistics: $n _ { 1 } = 10$ , $s _ { 1 } ^ { 2 } = 32$ , $n _ { 2 } = 15$ , and $s _ { 2 } ^ { 2 } = 22$ . Is there enough evidence at the 5% significance level to infer that the variance of Population 1 is larger than the variance of Population 2?

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Definitions:

Virtue

A quality considered morally good or desirable in a person.

Discriminating

Showing prejudice or bias, particularly in treating or considering people differently based on race, gender, or other personal characteristics.

Fixed Mindset

The belief that one's abilities, intelligence, and talents are fixed traits and that talent alone leads to success, without effort.

Carol Dweck

A psychologist known for her work on the mindset psychological trait, particularly fixed versus growth mindsets.