For the following problem you need to: 1. identify the independent and dependent

Question

For the following problem you need to: 1. identify the independent and dependent variables 2. give the null and alternative hypothesis 3. determine the critical value (use alpha = .05) 4. calculate the F statistic and all the required intermediate steps 5. what conclusion can you make at this point (using the statistic and critical value) 6. calculate a measure of effect size (R^2) 8. calculate the contrasts (post-hoc tests) to determine which groups significantly differ from each other 9. 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 rs the amount of time, in minutes, between consumption and sleep for each of the three natural sleep aids.

Explanation / Answer

4)

5)

Since FSTAT is greater than FCRIT, reject the null hypothesis (atleast one of the means differ)

6)

R^2=1-SSE/SST

       =1-197.4/321.87

       =1-0.6132

       =0.3867

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Column 1 10 303 30.3 7.788888889 Column 2 10 341 34.1 7.655555556 Column 3 10 294 29.4 6.488888889 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 124.4666667 2 62.23333333 8.512158055 0.001360068 3.354130829 Within Groups 197.4 27 7.311111111 Total 321.8666667 29

5)

Since FSTAT is greater than FCRIT, reject the null hypothesis (atleast one of the means differ)

6)

R^2=1-SSE/SST

       =1-197.4/321.87

       =1-0.6132

       =0.3867

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