## A researcher conducts a study examining the effectiveness of a group exercise program at an assisted living facility for elderly adults. One

Question

A researcher conducts a 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 the program was completed, the researcher records a combined score measuring balance and strength for each individual. The data are as follows:

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

Required:
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.
c. Calculate the two-sample t-test. To receive fiull credit, please clearly label your pooled variance, estimated standard error, and final t-score.
d. What t values form the boundary for the critical region?

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2 weeks 2021-09-10T18:38:37+00:00 1 Answer 0

Check the explanation

Step-by-step explanation:

Hypotheses are:

Following is the output of t test:

Hypothesis Test: Independent Groups (t-test, pooled variance)

X1                     X2

12                     15.5                   mean

3.6591            3.6839               std. dev.

10                     15                        n

23                        df

-3.5000          difference (X1 – X2)

13.4999          pooled variance

3.6742            pooled std. dev.

1.5000            standard error of difference

0                     hypothesized difference

-2.33                     t

.0287               p-value (two-tailed)

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)

The cohen’s d is