A random sample of 40 men drank an average of 20 cups of coffee per week during finals, while a sample of 30 women drank an average of 15 cups of coffee per week. The sample standard deviations were 6 cups for the men and 3 cups for the women. The standard error for the difference between the two sample means is
A) 1.095
B) 1.200
C) 1.549
D) 2.400

Question

Quizplus · Accepted Answer

The standard error for the difference between two sample means is calculated using the formula: SE = sqrt((s1^2/n1) + (s2^2/n2)), where s1 and s2 are the standard deviations, and n1 and n2 are the sample sizes. Plugging in the values: SE = sqrt((6^2/40) + (3^2/30)) = sqrt((36/40) + (9/30)) = sqrt(0.9 + 0.3) = sqrt(1.2) = 1.095.

A Random Sample of 40 Men Drank an Average of 20