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 testing the difference between the means of two normally distributed populations using independent random samples, the correct test statistic to use is the t statistic. This is because the population standard deviation is not known and has to be estimated using the sample standard deviation. The t statistic follows a t-distribution with degrees of freedom equal to the sum of the sample sizes minus 2.

In Testing the Difference Between the Means of Two Normally