THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Two dependent random samples from two normally distributed populations gives the following results:
n = 10;
= 20.5;s d = 3.2
-Find the margin of error for a 95% confidence interval for the difference between the means of the two populations.
A)2.29
B)5.86
C)3.44
D)8.10

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Two dependent random samples from two normally distributed populations gives the following results:
n = 10;  
= 20.5;s d = 3.2
-Find the margin of error for a 95% confidence interval for the difference between the means of the two populations.
A)2.29 
B)5.86 
C)3.44 
D)8.10

Quizplus · Accepted Answer

The margin of error for a 95% confidence interval for the difference between the means of the two populations is 2.29. This is because the margin of error is equal to the critical value multiplied by the standard error of the difference between the means. The critical value for a 95% confidence interval is 1.96, and the standard error of the difference between the means is 1.16. Therefore, the margin of error is 1.96 * 1.16 = 2.29.