(4 ) ANOVA hypothesis test for Three Populations Means A medical researcher tried three different techniques to lower cholesterol levels. Patients were randomly selected and assigned to one of three groups. At the end of six weeks, each patient's cholesterol level was recorded: LI L 1" population - Takes medication 2" population - Regularly exercises 3" population - Changes diet Random sample: Random sample: Random sample: 205 cholesterol 170 cholesterol 145 cholesterol 173 size-5 125 116 size 5 223 mean =194.2 160 mean-153.6 144 mean-128.2 177 130 101 193 183 135 Steps 1-2 have been completed for you. Step 1. He: / = /2 = My Step 2. Hi: At least one population's mean cholesterol level is different with statistical significance. Do Steps 3-4 and write the Conclusion. Step 3. Draw, 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? K Make sure to correctly plot and label the random sample test statistic on your graph in Step3. Also: Compare Probability/p-value Level of Significance. Write the Conclusion (two statements)