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A medical review board is assessing four different drugs that reduce low-density lipoprotein (LDL) ...
A medical review board is assessing four different drugs that reduce low-density lipoprotein (LDL) cholesterol. They recruited 20 individuals with high LDL cholesterol levels (above 160 mg/dL), measured those levels, and split them into 4 equally sized treatment groups. Each treatment group received enough medication for one month's worth of doses. The subjects took their respective medications for one month and then returned to have their LDL cholesterol levels measured again. The decrease in cholesterol levels are reported in the table below along with the usual summary statistics. Pravastatin Fluvastatin Simvastatin Lovastatin 72 83 72 102 N = 20 64 70 71 102 G = 1464 55 79 67 77 ?? – 110472 55 75 72 76 55 87 61 69 T = 301 T = 394 T = 343 T = 426 M = 60.2 M = 78.8 M = 68.6 M = 85.2 SS 234.8 SS = 176.8 SS = 89.2 SS = 978.8 Using a significance level of a = 0.01, conduct an ANOVA F test by filling in the missing information below and answering all of the questions. Express any numerical answers rounded to two decimal places. Be sure to use unrounded values within all calculations (even those that have already been expressed as a rounded number). Hypotheses: ??: ?? = ?? = Mg = ?? H?: at least two means are different from each other Test Statistic: Complete the following ANOVA summary table. Source SS df MS Between Treatments Within Treatments Total The test statistic resulting from the data is Critical Value: For this test, we use a critical value of as our cutoff point. Decision: Based on the results above, we would Select an answer Conclusion: The conclusion we would draw is : O we cannot disprove that the drug taken has an effect on the size of the decrease in LDL cholesterol Owe conclude that the drug taken has an effect on the size of the decrease in LDL cholesterol O we cannot disprove that the drug taken has no effect on the size of the decrease in LDL cholesterol O we conclude that the drug taken has no effect on the size of the decrease in LDL cholesterol Complete the following post-hoc test regardless of whether you rejected or failed to reject the null hypotehsis. Tukey's HSD: Using Tukey's HSD, determine whether each pair of drugs had significantly different effects on LDL cholesterol. The value of Tukey's honestly significant difference is for this test. Identify the absolute mean difference for each pair of treatments. a. Pravastatin and Fluvastatin had an absolute mean difference of b. Pravastatin and Simvastatin had an absolute mean difference of C. avastati and astatin had an absolute mean difference of d. Fluvastatin and Simvastatin had an absolute mean difference of e. Fluvastatin and Lovastatin had an absolute mean difference of f. Simvastatin and Lovastatin had an absolute mean difference of Select the treatment pairs that would be considered significantly different. Pravastatin and Fluvastatin O Pravastatin and Simvastatin O Pravastatin and Lovastatin O Fluvastatin and Simvastatin O Fluvastatin and Lovastatin Simvastatin and Lovastatin Question Help: Message instructor F