Use the following information for questions:
Twenty students were randomly assigned to one of four exercise programs (5 students in each program), and the mean weight losses for the four programs were compared using one-way analysis of variance. The mean square error (MS Error) was 40. The mean weight loss for the first program was $\overline{x_1} $ = 5 pounds.
-What is the standard error of $\overline{x_1} $ , the sample mean weight loss in the first program?
A) 0.32
B) 1.41
C) 2.83
D) None of the above

Question

Use the following information for questions:
 Twenty students were randomly assigned to one of four exercise programs (5 students in each program), and the mean weight losses for the four programs were compared using one-way analysis of variance. The mean square error (MS Error) was 40. The mean weight loss for the first program was $\overline{x_1} $ = 5 pounds.
-What is the standard error of $\overline{x_1} $ , the sample mean weight loss in the first program?
A) 0.32
B) 1.41
C) 2.83
D) None of the above

Quizplus · Accepted Answer

The standard error of the sample mean is calculated as the square root of the mean square error divided by the sample size: $\sqrt{40/5} = \sqrt{8} = 2.83$.

Use the Following Information for Questions: Twenty Students Were x1‾\overline{x_1} x1​​

Use the Following Information for Questions:
Twenty Students Were $\overline{x_1}$