Two independent samples of sizes 40 and 50 are randomly selected from two normally distributed populations. Assume that the population variances are known. In order to test the difference between the population means, µ$\mu$₁ - µF$\mu$₂, which of the following test statistics should be used? A) t-test B) Chi-square test C) Z-test D) None of these choices are correct.

Question

Quizplus · Accepted Answer

The Z-test should be used when the sample size is large (>30) and the population variance is known. Since both conditions are met in this scenario, the Z-test is the appropriate choice. The t-test should be used when the population variance is unknown or the sample size is small (<30). The Chi-square test is used for testing categorical data, not continuous data like population means. Therefore, choices A and B are incorrect.

Two Independent Samples of Sizes 40 and 50 Are Randomly μ\muμ

Two Independent Samples of Sizes 40 and 50 Are Randomly $\mu$