A researcher conducts an independent-measures study examining the effectiveness

Question

A researcher conducts an independent-measures study examining the effectiveness of a group excerise 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. Afer six weeks, the reasearcher records a combined score measuring balance and strength for each indivual. The data are as follows:

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

a. State the null hypothesis
b. Compute the becessary hypothesis test using a two-tailed test with alpha=.05. Show your calculations
c. Make a decision about youir null hypothesis. (Include the critical value you used to bade your decision.)
d. Write an APA format statement summarizing your findings (include a measure of effect size if necessary.)

Explanation / Answer

Set Up Hypothesis
Null ,there Is No-Significance between them Ho: u1 = u2
Alternate, exercise program have a significant effect H1: u1 != u2
Test Statistic
X(Mean)=12
Standard Deviation(s.d1)=10.9772492000501
Number(n1)=10
Y(Mean)=15.5
Standard Deviation(s.d2)=13.78
Number(n2)=15
we use Test Statistic (Z) = (X-Y)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)
Zo=12-15.5/Sqrt((120.5/10)+(189.8884/15))
Zo =-0.7
| Zo | =0.7
Critical Value
The Value of |Z | at LOS 0.05% is 1.96
We got |Zo | =0.704 & | Z | =1.96
Make Decision
Hence Value of | Zo | < | Z | and Here we Do not Reject Ho
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != -0.7 ) = 0.48136
Hence Value of P0.05 < 0.48136,Here We Do not Reject Ho

[ANSWERS]
a. Ho: u1 = u2 , H1: u1 != u2
b. Zo =-0.7
c. Do not Reject Ho
d. So we can conclude that the exercise program have a NO SIGNIFICANCE

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