Use the following information for questions:
"Sunlight makes everyone feel better." To test this claim, 30 college students receive special lights for their bedrooms that slowly turn on in the morning with imitation sunlight. The experiment takes place in January, when it is still dark out in the morning. Prior to participation, the students fill out a questionnaire to measure their general mood. The average score was 2.73. After three weeks with the special light they fill in the questionnaire again. The average score this time was 3.13. The standard deviation of the differences was 0.822.
-What is the value of the standard error for the difference in average mood score?
A) 0.106
B) 0.150
C) 0.153
D) 0.822

Question

Use the following information for questions:
 "Sunlight makes everyone feel better." To test this claim, 30 college students receive special lights for their bedrooms that slowly turn on in the morning with imitation sunlight. The experiment takes place in January, when it is still dark out in the morning. Prior to participation, the students fill out a questionnaire to measure their general mood. The average score was 2.73. After three weeks with the special light they fill in the questionnaire again. The average score this time was 3.13. The standard deviation of the differences was 0.822.
-What is the value of the standard error for the difference in average mood score?
A) 0.106
B) 0.150
C) 0.153
D) 0.822

Quizplus · Accepted Answer

The standard error for the difference in average mood score is calculated using the formula for the standard error of the mean difference: SE = s / sqrt(n), where s is the standard deviation of the differences, and n is the sample size. Substituting the given values (s = 0.822, n = 30) into the formula gives SE = 0.822 / sqrt(30) ≈ 0.150.

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