Chapter 10.3, Problem 96E

To determine

To find from the options that which of the following is the correct check on the normal/large sample condition for this significance test.

Answer to Problem 96E

Option (c) is the correct option.

Explanation of Solution

It is given that a study on the impact of the caffeine consumption on the reaction time was done and we have to check the condition for normal/large sample. There are three statements given in the question to find out which best suits the condition.

Then we have, the $24$ subjects are divided into half pairs on the average hours of sleep on the previous nights. One member of each pair ten drinks two cups of caffeine and the other members drinks two cups of decaf. The first sample is then who drinks caffeine and the second sample is that who drinks decaf.

Since each subject in the first sample is related to the second sample then the paired t procedure will be there.

So, then normal/large sample condition requires to be that the sample should be large and the distribution of differences should be approximately normal.

Which in this case, the statement III should be checked and thus option (c) is the correct option.