A study is to be made of the relative effectiveness of two kinds of cough medicines in increasing sleep. Six people with colds are given medicine A the first night and medicine B the second night. Their hours of sleep each night are recorded.

(a) Establish a 95% confidence interval for the mean change in hours of sleep when switching from medicine A to medicine B.
(b) How and what would you randomize in this study? Briefly explain your reason for randomization.

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Subject 12 3 4 5 6 Medicine A 4.8 4.1 5.8 4.9 5.1 7.4 Medicine B 3.9 4.2 5.0 49 5.2 7.1