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A researcher is interested in assessing the effects of a newly developed "smart" pill on patients' perceived mathematical abilities at three different time points. Patients are asked to rate their own levels of math skill from 1-8 before taking the pill, after 3 months of pill taking, and after 6 months of pill-taking. She collects the following data: Patient A B C D E Treatment totals SS Source Between treatments Within treatments Between Subjects Conduct an ANOVA for these data. You may use the summary table example below to help organiz your data. Error Total Before SS 6 5.5 7.0 6.8 7.8 33.1 3.21 3 months 6.7 6.8 7.9 7.1 7.5 36 1 df 6 months 5.4 5.0 6.9 6.0 6.3 29.6 2.23 MS F

A researcher is interested in assessing the effects of a newly developed "smart" pill on patients' perceived mathematical abilities at three different time points. Patients are asked to rate their own levels of math skill from 1-8 before taking the pill, after 3 months of pill taking, and after 6 months of pill-taking. She collects the following data: Patient A B C D E Treatment totals SS Source Between treatments Within treatments Between Subjects Conduct an ANOVA for these data. You may use the summary table example below to help organiz your data. Error Total Before SS 6 5.5 7.0 6.8 7.8 33.1 3.21 3 months 6.7 6.8 7.9 7.1 7.5 36 1 df 6 months 5.4 5.0 6.9 6.0 6.3 29.6 2.23 MS F

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 27PPS
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A researcher is interested in assessing the effects of a newly developed "smart" pill on patients' perceived mathematical abilities at three different time points. Patients are asked to rate their own levels of math skill from 1 - 8 before taking the pill, after 3 months of pill taking, and after 6 months of pill-taking. She collects the following data: Patient A B C D E Treatment totals SS Source Between treatments Within treatments Between Subjects Error Total Before SS 6 5.5 7.0 6.8 7.8 33.1 3.21 3 months 6.7 6.8 df 7.9 Conduct an ANOVA for these data. You may use the summary table example below to help organize your data. 7.1 7.5 36 1 6 months 5.4 MS 5.0 6.9 6.0 6.3 29.6 2.23 F
Transcribed Image Text:A researcher is interested in assessing the effects of a newly developed "smart" pill on patients' perceived mathematical abilities at three different time points. Patients are asked to rate their own levels of math skill from 1 - 8 before taking the pill, after 3 months of pill taking, and after 6 months of pill-taking. She collects the following data: Patient A B C D E Treatment totals SS Source Between treatments Within treatments Between Subjects Error Total Before SS 6 5.5 7.0 6.8 7.8 33.1 3.21 3 months 6.7 6.8 df 7.9 Conduct an ANOVA for these data. You may use the summary table example below to help organize your data. 7.1 7.5 36 1 6 months 5.4 MS 5.0 6.9 6.0 6.3 29.6 2.23 F
Fill in the table (on your own, you will not submit all values for credit, please read the question carefully). Analyze the results and answer the following questions: A.What is the value for the SSbetweentreatments? [Select] B. What is the value for the SSerror? [Select] C. What is the value for the df error? [Select] D. What is the F ratio for these data? F = [Select] < < E. Based on the F table and your determination of the critical value for alpha of 0.05, you would [Select] the null hypothesis. F. Is there at least one difference between the treatment groups? [Select]
Transcribed Image Text:Fill in the table (on your own, you will not submit all values for credit, please read the question carefully). Analyze the results and answer the following questions: A.What is the value for the SSbetweentreatments? [Select] B. What is the value for the SSerror? [Select] C. What is the value for the df error? [Select] D. What is the F ratio for these data? F = [Select] < < E. Based on the F table and your determination of the critical value for alpha of 0.05, you would [Select] the null hypothesis. F. Is there at least one difference between the treatment groups? [Select]
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