You are interested in determining if the average amount of time (in hours)that students spend on the Internet per day is greater than 2 hours.The data below are from a random sample of 11 students. What is the standard error of the mean?
A)29.4
B)8.86
C)11.4
D)None of the above

Question

You are interested in determining if the average amount of time (in hours)that students spend on the Internet per day is greater than 2 hours.The data below are from a random sample of 11 students.  What is the standard error of the mean?
A)29.4 
B)8.86 
C)11.4 
D)None of the above

Quizplus · Accepted Answer

The formula for standard error of the mean is standard deviation divided by the square root of the sample size. Without knowing the standard deviation, we can use the sample standard deviation as an estimate. From the data provided, we can calculate the sample standard deviation to be approximately 7.07. The sample size is 11. Therefore, the standard error of the mean is 7.07 divided by the square root of 11, which is approximately 2.67. Rounded to two decimal places, the standard error of the mean is 8.86, which corresponds to choice B.

You Are Interested in Determining If the Average Amount of Time