In testing the difference between the means of two normally distributed populations using independent random samples,the correct test statistic to use is:
A)z statistic.
B)t statistic.
C)F statistiC.
D)Chi-square statistic.
E)None of thesE.

Question

Quizplus · Accepted Answer

When the difference between two means is being tested using independent random samples from normally distributed populations, the appropriate test statistic is the t statistic. This is because, when the population standard deviations are unknown and must be estimated from the sample data, the distribution of the test statistic is no longer normal, but rather follows a t-distribution with degrees of freedom equal to the sum of the sample sizes minus two. Therefore, the correct choice is B - t statistic.

In Testing the Difference Between the Means of Two Normally