16. What if there was a smaller difference between the two groups? That is, if M, = 14 and M2 = 12. Then, what is your t-statistic?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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16

For #10 - 19: A researcher conducts an Independent-Measures study examining the effectiveness of a group
exercise program on muscle strength at an assisted living facility for elderly adults. One group of residents is
selected to participate in the new weight training program and a second group participates in a fitness walking
group. After 8 weeks, the researcher records a strength score for each individual. The data are as follows:
Here are some formulas and values to help:
Pooled Variance (s?,) = 14
Strength
Walking
Group
n = 28
Group
n = 14
2
,2
S(M,-M2)
+
M1 = 15
V n,
n2
t = M1 - M2 / S (M1-M2)
M2 =
= 12
16. What if there was a smaller difference between the two groups? That is, if M1 = 14 and M2 = 12. Then, what is
%3D
your t-statistic?
Transcribed Image Text:For #10 - 19: A researcher conducts an Independent-Measures study examining the effectiveness of a group exercise program on muscle strength at an assisted living facility for elderly adults. One group of residents is selected to participate in the new weight training program and a second group participates in a fitness walking group. After 8 weeks, the researcher records a strength score for each individual. The data are as follows: Here are some formulas and values to help: Pooled Variance (s?,) = 14 Strength Walking Group n = 28 Group n = 14 2 ,2 S(M,-M2) + M1 = 15 V n, n2 t = M1 - M2 / S (M1-M2) M2 = = 12 16. What if there was a smaller difference between the two groups? That is, if M1 = 14 and M2 = 12. Then, what is %3D your t-statistic?
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