Calculate the standard error for the difference between two independent means.
-Data were collected on annual personal time (in hours) taken by a random sample of 16
Women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men
Took an average of 21.89 hours of personal time per year with a standard deviation of 3.29
Hours. The standard error of the sampling distribution for the difference between the two
Means is
A) 2.05
B) 5.02
C) 2.24
D) 1.43

Question

Quizplus · Accepted Answer

The standard error for the difference between two independent 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((2.84^2/16) + (3.29^2/7)) = 1.43.

Calculate the Standard Error for the Difference Between Two Independent