A Statistician Wants to Test for the Equality of Means

question 66

Short Answer

A statistician wants to test for the equality of means in two independent samples drawn from normal populations of people enrolled in a diet program. 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 number of pound lost at the completion of the program data follow: Can the statistician conclude at the 5% significance level that the required condition is not satisfied?
Test statistic = ______________
Critical Value(s) = ______________
Conclusion: ______________
Interpretation: __________________________________________
Estimate with 95% confidence the ratio of the two population variances.
______________

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Definitions:

Vested Interest

A personal stake or involvement in an undertaking or situation, especially one with an expectation of financial or other gain.

Direct Personal Experience

Firsthand encounters or involvement in situations, events, or activities, without intermediaries.

Attitudinal Object

Any subject or entity toward which an individual holds a specific attitude.

Self-awareness

The awareness a person has about their own personality, emotions, intentions, and wishes.