75 healthy men were randomly assigned to one on the two groups: about half were

Question

75 healthy men were randomly assigned to one on the two groups: about half were given alcohol to drink (0.85 grams of per kilogram of body weight); the drank a placebo. to four Participants were then given 30 minutes 36 pages of a book. Every three to read up to "zoning out" (losing minutes participants were prompted to indicate whether they were concentration on what they were reading), The number of times participants indicated they were out was recorded for each subject. The following table summarizes data on the number of episodes of zoning out. (a) Give the number of degrees of freedom for the conservative (non-software) option for using a two-sample t procedure: b) Assume that the conditions for inference are satisfied and determine a 90% confidence interval for the difference in population means when alcohol is administered versus when it is not, using the degrees of freedom from your answer to part (a).

Explanation / Answer

Part-a

Cinservative degree of freedon = min(n1-1,n2-1)=min(40-1,35-1)=34

Part-b

For 90% CI, critical t0.10/2(34)=1.691

90% CI=(2.24-1.44)±1.691*sqrt(0.402/40+0.242/35)

=(0.67 0.93)

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