A population has a standard deviation of 50. A random sample of 100 items from this population is selected. The sample mean is determined to be 600. At 95% confidence, the margin of error is
A)5
B)9.8
C)650
D)609.8

Question

Quizplus · Accepted Answer

The formula for the margin of error is margin of error = z* (standard deviation/square root of sample size), where z is the z-score of the chosen level of confidence. At 95% confidence, the z-score is 1.96. Thus, the margin of error = 1.96 * (50/√100) = 9.8. Therefore, the answer is B.

A Population Has a Standard Deviation of 50