Mental Health A study was performed looking at the effect of physical activity on cognitive function among adults at high risk for Alheimer's disease. There were 170 eligible subjects randomly assigned to either an exercise intervention (exercise group) or a control intervention (control group). The subjects were followed at 6-month intervals up to 18 months of follow-up. The primary assessment scale was the Altheimer's Disease Assessment Sca Cognitive Subscale (ADAS-Cog). The results at 18 months of follow-up among participants with mild cognitive impairment are given in the table below. (Let population 1 be the exercise group and population 2 be the control group. Use exercise group-control group) Mean difference from baseline (18-month score minus baseline score) among participants with mild cognitive impairment in the ADAS-Cop score Exercise group Control group Mean change 95% CI n LA USE SALT (-1-37, 0.43) (-1-35, 0.49) (a) What is the standard deviation of change in the exercise group? (Round your answer to three decimal places) 3.444 (b) What is the standard deviation of change in the control group? (Round your answer to three decimal places) 3.300 (c) What test can be performed to compare the mean change in the two groups at 18 months? (You can use the Distribution Calculators page in SALT to check conditions) we should use a one sample test We should use a two sample t test for independent samples with unequal variances we should use a two sample t test for independent samples with equal variances we should use a paired t test We should use a one sample test (6) Implement the test identified in part (C), and report a two-sided p-value State the null and alternative hypotheses. (Enter te forded) What is the teststatic? (Round your answer to two decimal places) Use technology to find the p-value. (Round your answer to four decimal places) p-value State your conclusion Fall to reject we cannot conclude that there is a significant difference in the mean change in the ADAS-Cog scores between the control and exercise groups Fall to reject M. We can conclude that there is a significant difference in the mean change in the ADAS-Cop scores between the control and exercise groups Reject we cannot conclude that there is a significant ofference in the mean change in the ADAS-Cog scores between the control and exercise groups Reject We can conclude that there is a significant difference in the mean change in the ADAS-Cop scores between the central and exercise groups

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Mental Health
A study was performed looking at the effect of physical activity on cognitive function among adults at high risk for Alzheimer's disease. There were 170 eligible subjects randomly assigned to either an exercise intervention (exercise group) or a control intervention (control group). The subjects were followed at 6-month intervals up to 18 months of follow-up. The primary assessment scale was the Alzheimer's Disease Assessment Scale-
Cognitive Subscale (ADAS-Cog). The results at 18 months of follow-up among participants with mild cognitive impairment are given in the table below. (Let population 1 be the exercise group and population 2 be the control group. Use exercise group control group.)
Mean difference from baseline (18-month score
minus baseline score) among participants with
mild cognitive impairment in the ADAS-Cog
score*
Mean change
95% CI
n
Exercise group Control group
USE SALT
-0.37
(-1.37, 0.63)
48
-0.43
(-1.35, 0.49)
52
(a) What is the standard deviation of change in the exercise group? (Round your answer to three decimal places.)
3.444
(b) What is the standard deviation of change in the control group? (Round your answer to three decimal places.)
3.303
X
What test can be performed to compare the mean change in the two groups at 18 months? (You can use the Distribution Calculators page in SALT to check conditions.)
O We should use a one sample z test.
O We should use a two sample t test for independent samples with unequal variances.
We should use a two sample t test for independent samples with equal variances.
O We should use a paired t test.
O We should use a one sample t test.
(d) Implement the test identified in part (c), and report a two-sided p-value.
State the null and alternative hypotheses. (Enter != for as needed.)
Ho: M1 = 1₂
H₁₂: 1₁!= 1₂
What is the test statistic? (Round your answer to two decimal places.)
Use technology to find the p-value. (Round your answer to four decimal places.)
p-value=
State your conclusion.
● Fail to reject Ho. We cannot conclude that there is a significant difference in the mean change in the ADAS-Cog scores between the control and exercise
groups.
O Fail to reject Ho. We can conclude that there is a significant difference in the mean change in the ADAS-Cog scores between the control and exercise
groups.
O Reject Ho. We cannot conclude that there is a significant difference in the mean change in the ADAS-Cog scores between the control and exercise groups.
O Reject Ho. We can conclude that there is a significant difference in the mean change in the ADAS-Cog scores between the control and exercise groups.
Transcribed Image Text:Mental Health A study was performed looking at the effect of physical activity on cognitive function among adults at high risk for Alzheimer's disease. There were 170 eligible subjects randomly assigned to either an exercise intervention (exercise group) or a control intervention (control group). The subjects were followed at 6-month intervals up to 18 months of follow-up. The primary assessment scale was the Alzheimer's Disease Assessment Scale- Cognitive Subscale (ADAS-Cog). The results at 18 months of follow-up among participants with mild cognitive impairment are given in the table below. (Let population 1 be the exercise group and population 2 be the control group. Use exercise group control group.) Mean difference from baseline (18-month score minus baseline score) among participants with mild cognitive impairment in the ADAS-Cog score* Mean change 95% CI n Exercise group Control group USE SALT -0.37 (-1.37, 0.63) 48 -0.43 (-1.35, 0.49) 52 (a) What is the standard deviation of change in the exercise group? (Round your answer to three decimal places.) 3.444 (b) What is the standard deviation of change in the control group? (Round your answer to three decimal places.) 3.303 X What test can be performed to compare the mean change in the two groups at 18 months? (You can use the Distribution Calculators page in SALT to check conditions.) O We should use a one sample z test. O We should use a two sample t test for independent samples with unequal variances. We should use a two sample t test for independent samples with equal variances. O We should use a paired t test. O We should use a one sample t test. (d) Implement the test identified in part (c), and report a two-sided p-value. State the null and alternative hypotheses. (Enter != for as needed.) Ho: M1 = 1₂ H₁₂: 1₁!= 1₂ What is the test statistic? (Round your answer to two decimal places.) Use technology to find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. ● Fail to reject Ho. We cannot conclude that there is a significant difference in the mean change in the ADAS-Cog scores between the control and exercise groups. O Fail to reject Ho. We can conclude that there is a significant difference in the mean change in the ADAS-Cog scores between the control and exercise groups. O Reject Ho. We cannot conclude that there is a significant difference in the mean change in the ADAS-Cog scores between the control and exercise groups. O Reject Ho. We can conclude that there is a significant difference in the mean change in the ADAS-Cog scores between the control and exercise groups.
Expert Solution
Step 1

Consider the given information:

  Exercise group Control group
Mean change -0.37 -0.43
95% CI (-1.37,0.63) (-1.35,0.49)
n 48 52
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