A Researcher Conducts an Independent-Measures Study Examining the Effectiveness of a Group

A researcher conducts an independent-measures study examining the effectiveness of a group exercise program at an assisted living facility for elderly adults.One group of residents is selected to participate in the program,and a second group serves as a control.After 6 weeks,the researcher records a combined score measuring balance and strength for each individual.The data are as follows:
$$\begin{array} { c c } \text { Control } & \text { Exercise } \\\hline n = 10 & n = 15 \\M = 12 & M = 15.5 \\S S = 120.5 & S S = 190.0\end{array}$$
a.Does the exercise program have a significant effect? Use an alpha level of .05, two
tails.
b.Compute Cohen's d to measure the size of the treatment effect.

Correct Answer:

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a.The pooled variance is 13.5 ...

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