Question

Indicate the correct test procedure and reasoning. A researcher wishes to determine whether listening to music affects students' performance on memory test. He randomly selects 50 students and has each student perform a memory test once while listening to music and once without listening to music. He obtains the mean and standard deviation of the 50 "with music" scores and obtains the mean and standard deviation of the 50 "without music scores" O Two-sample t-test, since the researcher has two samples. Paired t-test, since there is a "with music" and "without music" score for each person. O z-test for each sample, since the researcher has the sample standard deviation. Not enough information given to determine correct type of test. Pooled t-test, since the standard deviation is likely to be the same in both populations

Answer 1

Answer

In this case, we have 50 students where each student performed memory test once listening to the music and once without listerning to music.

It is clear that same set of people is used twice, i.e. once listening to music and second time without listening to music.

So, it is a case of paired t test or dependent t test because samples in both tests are dependent or same.

We will not use pooled t test because we dont know about the standard deviation and it is also not a z test because population standard deviation is unknown.

So, option B is correct answer