Beware = 0.05. Two trials looked at red wine consumption in lowering cholesterol levels in hypercholesterolemic

Beware α = 0.05. Two trials looked at red wine consumption in lowering cholesterol levels in hypercholesterolemic men. In each trial, 25 men consumed 8 ounces of red wine for 14 days.

(a) In trial A, the 25 subjects lowered their cholesterol by an average of 5% (standard deviation = 11.9%). In testing H0

: μ = 0, t stat

= 2.10 with 24 df. Is this study statistically significant at α = 0.05

(two sided)?

(b) In trial B, 25 different subjects lowered their cholesterol by 5%

with standard deviation 12.2% (t stat

= 2.05 with 24 df). Is this result statistically significant at α = 0.05?

(c) Is it reasonable to come to different conclusions for trial A and trial B?