As part of an experiment carried out by the Ministry of Health, three weight reduction regimens...

 

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As part of an experiment carried out by the Ministry of Health, three weight reduction regimens are tested for their ability to help high school students to lose weight. Data presented below are the number of pounds lost by each subject over a 6-month period. A positive number indicates weight loss and a negative number indicates weight gain. Test the hypothesis that the three conditions produce different levels of weight loss. Regimen 1 (Pounds Lost) 2 Regimen 2 (Pounds Lost) 12 Regimen (Pounds Lost) 8 9 20 3 15 7 -1 6 17 - 3 10 28 2 14 30 -8 A. What are the THREE (3) assumptions of an ANOVA? B. State the researcher's hypotheses (HO and Ha) in statistical notation. C. Calculate the total sum of squares error, (SST). D. What is the between sample sum of squares error, (SSB)? E. Compute the within sample sum of the squares error, (SSW). F. Calculate the between sample mean square error, (MSB). G. Work out the within sample mean square error, (MSW). H. Indicate the degrees of freedom for errors. I. With the use of F-Distribution, conduct a test at the 5% level of significance. As part of an experiment carried out by the Ministry of Health, three weight reduction regimens are tested for their ability to help high school students to lose weight. Data presented below are the number of pounds lost by each subject over a 6-month period. A positive number indicates weight loss and a negative number indicates weight gain. Test the hypothesis that the three conditions produce different levels of weight loss. Regimen 1 (Pounds Lost) 2 Regimen 2 (Pounds Lost) 12 Regimen (Pounds Lost) 8 9 20 3 15 7 -1 6 17 - 3 10 28 2 14 30 -8 A. What are the THREE (3) assumptions of an ANOVA? B. State the researcher's hypotheses (HO and Ha) in statistical notation. C. Calculate the total sum of squares error, (SST). D. What is the between sample sum of squares error, (SSB)? E. Compute the within sample sum of the squares error, (SSW). F. Calculate the between sample mean square error, (MSB). G. Work out the within sample mean square error, (MSW). H. Indicate the degrees of freedom for errors. I. With the use of F-Distribution, conduct a test at the 5% level of significance.