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PM Thu May 5 ... @ 969 Take Quiz In an experiment to test a memory supplement, 200 subjects were assigned randomly to take the supplement or a placebo (100 in each group). The memory score of each group was then measured. The question at hand was whether there is a difference in the mean memory scores between the supplement and placebo groups. Conduct the test with a significance level of 10%. Results and p-values many test runs are shown below. Supplement Placebo sample mean 6.61 5.23 sample std dev 5.03 4.10 sample size 100 100 Reported p-values two tail left tail right tail F-test for variances 0.033 pooled variance t-test 0.032 0.984 0.016 unequal variance t-test 0.038 0.981 0.019 matched pairs t-test 0.048 0.976 0.024 a) State Ha in words and Ho and Ha in population parameters. (the supplement is sample 1 and the placebo is sample 2) b) State Significance Level and Decision Rule. (p-value Method) c) Determine which model you are using. Justify all your reasons for choosing the model. This includes explaining why this is independent or dependent sampling, and whether pooled or unpooled. d) Give the correct p-value and the correct decision. (p-values for various tests are shown above) e) State your overall conclusion in language that is clear, relates to the original problem and is consistent with your decision