Q:

A randomly selected sample of 60 mathematics majors spent an average of $200.00 for textbooks one term, while during the same term, a randomly selected sample of 40 literature majors spent an average of $180.00 for textbooks. The standard deviation for each sample was $20.00. The standard error for the difference between the two sample means is:A. 0.057B. 4.082C. 5.744D. 16.663

Accepted Solution

A:
Answer:Option B is correct = 4.082Step-by-step explanation:From the question, we have the following information; Sample A, 60 people are randomly selected = $200 for textbook in one term.Sample B:, 40 people are randomly selected = $180 for textbook in one term. Standard deviation of sample A and B =$20.Difference in the average value= 200-180 = 20.To calculate the standard error we have; Standard error= SD/√number of sample.Standard error= 20/√20 = 20/ 4.472= 4...