FIGURE 11.21An analysis of variance table11.1.5An experiment to compare k= 4 factor levels has m₁ = 12 and X₁. = 16.09, n₂ = 8 and x₂. = 21.55, n3 =13 and x3 = 16.72, and n = 11 and x₂ = 17.57. The total sum of squares is SST = 485.53. Compute theanalysis of variance table. What is the p-value?11.1.6An experiment to compare k= 3 factor levels has n. - 17 and x = 32.30. n₂ = 20 and x₂ = 34.06, and

The provided information is as follows:The factor level is ...The total sum of squares is

Answered: 11.1.5An experiment to compare k= 4…

MATLAB: An Introduction with Applications

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A medical researcher wants to test whether the mean cholesterol levels are the same for 3 treatment groups of subjects (with 18 total randomly selected subjects): those who take a new medication, those who follow a diet, and those who make no changes to medication or diet. They plan to use a 5% level of significance for their decision. Below is a partial Analysis of Variance table. Use it to answer the following questions deg of freedom Sum of Squares Mean Square F statistic Treatment Group 3.121 1.5607 Error 1.517 0.1011 Total 17 What is the critical value of F we would compare this to (see F-table) [ Select ] What is our decision v [ Select ] More information is needed Do not reject the null hypothesis because our f-statistic is smaller than the critical f Reject the null hypothesis because our f-statistic is greater than the critical f Reject the null hypothesis because our f-statistic is smaller than the critical f Do not reject the null hypothesis because our f-statistic is…
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11.1.5An experiment to compare k= 4 factor levels has m₁ = 12 and x₁ = 16.09, n₂ = 8 and x₂ = 21.55, n3 = 13 and x3 = 16.72, and n = 11 and x₂ = 17.57. The total sum of squares is SST = 485.53. Compute the analysis of variance table. What is the p-value?