For the following problem you need to: identify the independent and dependent va

Question

For the following problem you need to: identify the independent and dependent variables give the null and alternative hypothesis determine the critical value (use alpha = .05) calculate the F statistic and all the required intermediate steps what conclusion can you make at this point using the statistic and critical value) calculate a measure of effect size (R^2) calculate the contrasts (post-hoc tests) to determine which groups significantly differ from each other what conclusion can you make now (using the results of the contrasts) A student interested in alternative sleep aids has heard that valerian root, melatonin and 5-htp have very few side effects and may be able to help with her recent insomnia. She decides to run a little experiment with her sorority sisters to determine which of the three makes people fall asleep the fastest. The following data is the amount of time, in minutes, between consumption and sleep for each of the three natural sleep aids.

Explanation / Answer

(6)

R^2 = SSR/SST = 124.47/321.87 = 0.3867

(8)

(9)

p- values are < 0.05 for M vs VR and M vs HTP

Thus, M is significantly different from VR and HTP

One factor ANOVA Mean n Std. Dev 30.3 10 2.79 VR 34.1 10 2.77 M 29.4 10 2.55 HTP 31.3 30 3.33 Total ANOVA table Source SS    df MS F    p-value Treatment 124.47 2 62.233 8.51 .0014 Error 197.40 27 7.311 Total 321.87 29

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