Design: State Ha in words and Ho and Ha in population parameters. ( The supplement is sample one and the placebo is sample 2)

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. Can you support the claim that 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