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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 t 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 -0.37 -0.43 (-1.37, 0.63) (-1.35, 0.49) 48 52 LAUSE SALT (a) What is the standard deviation of change in the exercise group? (Round your answer to three decimal places.) (b) What is the standard deviation of change in the control group? (Round your answer to three decimal places.) (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.) 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. (4) Implement the test identified nast (c) and report

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 t 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 -0.37 -0.43 (-1.37, 0.63) (-1.35, 0.49) 48 52 LAUSE SALT (a) What is the standard deviation of change in the exercise group? (Round your answer to three decimal places.) (b) What is the standard deviation of change in the control group? (Round your answer to three decimal places.) (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.) 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. (4) Implement the test identified nast (c) and report

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 H₁: 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.) (b) What is the standard deviation of change in the control group? (Round your answer to three decimal places.) (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.) O We should use a one sample z test. O We should use a two sample t test for independent samples with unequal variances. O 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: 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. O 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. 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 H₁: 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.) (b) What is the standard deviation of change in the control group? (Round your answer to three decimal places.) (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.) O We should use a one sample z test. O We should use a two sample t test for independent samples with unequal variances. O 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: 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. O 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. 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.
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