A statistics professor wanted to test whether the grades on a statistics test were the same for upper and lower classmen. The professor took a random sample of size 10 from each, conducted a test and found out that the variances are equal. For this situation, the professor should use a t test with related samples.
(A) True
(B) False

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Answer:

False

Step-by-step explanation:

In the above situation where the professor took a random sample of size 10 from each, conducted a test and found out that the variances are equal.  should not use a t test with related samples. The professor should use the t test for the difference in means testing for independence. Hence, the statement is false.

According to the hypothesis tested, it is found that it is true that the professor should use a t test with related samples, hence option A is correct.

When a t-test with related samples should be used?

A t-test should be used when we do not have the standard deviation for the population, which is the case in this problem, as we have it for the sample.

Related samples are used when comparisons are made between two samples, which is the case here for the samples of upper and lower classmen.

Hence, option A is correct.

More can be learned about an hypothesis test at https://brainly.com/question/13873630