A Study Randomly Assigned Adult Subjects to One of Three

Multiple Choice

A study randomly assigned adult subjects to one of three exercise treatments: (1) a single long exercise period five days per week; (2) several ten-minute exercise periods five days per week; and (3) several ten-minute periods five days per week using a home treadmill. The study report contains the following summary statistics about weight loss (in kilograms) after six months of treatment:
$$\begin{array} { | l | c | c | c | } \hline \text { Treatment } & \text { Mean } & \text { Std. Dev. } & \boldsymbol { n } \\\hline \text { Long periods } & 10.2 & 4.2 & 37 \\\hline \text { Multiple short periods } & 9.3 & 4.5 & 36 \\\hline \text { Multiple short periods with treadmill } & 10.2 & 5.2 & 42 \\\hline\end{array}$$ Here is a partial ANOVA table based on these data:
$$\begin{array}{l}\begin{array} { l | l r } &\text {Source }&\text {df }&\text {Sums of Squares }&\text {Mean Square}&\text { F-Ratio}&\\\hline\text {group }&&&20.032\\\text { Error} && & &21.8967\\\hline\text {Total }&\end{array}\end{array}$$ What is the P-value for the ANOVA that tests for equality of the population means of the three treatments?

A) Less than 0.01
B) Between 0.01 and 0.05
C) Between 0.05 and 0.10
D) Greater than 0.10