A psychologist wishes to determine which of four diet plans works best. The psychologist randomly assigns 32 overweight clients to one of four diet plans: Life on Herbs (LOH), E-mail-A-Meal (EAM), Weight-Lookers (WLK), and Low-Carbs (LOC). The numbers represent weight loss in pounds for 3 months for each client.$\begin{array} { c c c c }
\hline \text { LOH } & \text { EAM } & \text { WLK } & \text { LOC } \
\hline 14 & 11 & 10 & 25 \
19 & 15 & 5 & 18 \
12 & 9 & 6 & 24 \
9 & 19 & 11 & 29 \
14 & 12 & 4 & 17 \
15 & 10 & 5 & 20 \
18 & 20 & 4 & 23 \
8 & 8 & 3 & 27 \
\hline
\end{array}$
-The mean squares within groups (MSW) is
A)436.750
B)15.598
C)383.583
D)24.591

Question

A psychologist wishes to determine which of four diet plans works best. The psychologist randomly assigns 32 overweight clients to one of four diet plans: Life on Herbs (LOH), E-mail-A-Meal (EAM), Weight-Lookers (WLK), and Low-Carbs (LOC). The numbers represent weight loss in pounds for 3 months for each client.$\begin{array} { c c c c } 
\hline \text { LOH } & \text { EAM } & \text { WLK } & \text { LOC } \
\hline 14 & 11 & 10 & 25 \
19 & 15 & 5 & 18 \
12 & 9 & 6 & 24 \
9 & 19 & 11 & 29 \
14 & 12 & 4 & 17 \
15 & 10 & 5 & 20 \
18 & 20 & 4 & 23 \
8 & 8 & 3 & 27 \
\hline
\end{array}$
-The mean squares within groups (MSW) is
A)436.750
B)15.598
C)383.583
D)24.591

Quizplus · Accepted Answer

The mean squares within groups (MSW) is calculated by dividing the sum of squares within groups (SSW) by the degrees of freedom within groups (dfw). The SSW is the sum of squared differences between each observation and its group mean. Given the data, the calculation of MSW requires detailed computation, but the correct answer is based on the provided options, indicating that the calculation has been done and option B is identified as the correct MSW value.

A Psychologist Wishes to Determine Which of Four Diet Plans