Question

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: (9 POINTS)

Control	Exercise
n = 10	n = 15
M = 12	M = 15.5
SS = 120.5	SS = 190.0

1)      Does the exercise program have a significant effect?  Use a two-tailed test with an alpha level of .05.  Be sure to state your null hypothesis, and make an overall conclusion including an APA style statement.

2)      If necessary, compute Cohen’s d to measure the size of the treatment effect.

Answer 1

Answer:-

Given That:-

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.

a.   Does the exercise program have a significant effect?  Use an alpha level of .05, two tails.

Here we have

Hypotheses are:

Following is the output of t test:

The p-value is:

p-value = 0.0287

Since p-value is less than 0.05 so we reject the null hypothesis. That is we can conclude that the exercise program have a significant effect.

b.  Compute Cohen's d to measure the size of the treatment effect.

The cohen's d is

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