Asked by Reggie Cowell on Jul 08, 2024

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Under what conditions can the t-distribution be correctly employed to test the difference between two population means?

A) The samples must be small and selected at random from the population.
B) The samples must be independent of each other.
C) The population variances should be equal or nearly equal, and the populations must be normally distributed.
D) All of these.
E) None of these.

T-Distribution

A probability distribution that is used to estimate population parameters when the sample size is small and the population variance is unknown.

Population Variances

The measure of dispersion that quantifies how much the values of a population differ from the population mean.

  • Interpret the conditions under which the t-distribution is applicable.
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QH
Quyen HoangJul 10, 2024
Final Answer :
D
Explanation :
The t-distribution can be correctly used under all the conditions listed: small, random samples (A), independence of samples (B), and equal or nearly equal population variances with normally distributed populations (C).