(5) ANOVA hypothesis test for Three Populations Means A medical researcher wishes to try three different techniques to lower the cholesterol levels of his patients. Patients were randomly selected and assigned to one of three groups. At the end of six weeks, cach patient's cholesterol level was recorded: LI L2 1" population - Takes medication 2nd population - Regularly exercises 3'd population - Changes diet Random sample information: Random sample information: Random sample information: 218 cholesterol 131 cholesterol 184 cholesterol 173 size 6 125 size 6 116 size 6 223 mean = 201.3 160 mean = 162 144 mean = 137.3 177 130 101 193 183 135 224 243 144 Steps 1-2 have been completed for you. Step 1. Ho: / = H2 = /3 Step 2. HI: At least one population mean is different. Do Steps 3-4 and write the Conclusion. Step 3. Correctly graph, shade, and label tick marks for Fisher's F-distribution curve. Level of significance = .0500 and right-tailed. Step 4. Are the Random Sample means Unusual under assumption of the null Hypothesis? Make sure to plot and label the correct random sample test statistic on your graph. Also: Compare Probability/P-value Level of Significance. Write the Conclusion (two statements)