2. 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. The data are provided in the following table: You may assume this data is normally distributed. Subject 1 2 3 4 5 Medicine A 4.8 4.1 5.8 4.9 5.1 7.4 Medicine B 3.9 4.2 5.0 4.9 5.2 7.1 b) Is the mean sleep time improved using medicine B? Use α = 0.02.
in a normal distribution if unknown &n <30 we use t distribution
t=(
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