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 is the amount of time, in minutes, between consumption and sleep for each of the three natural sleep aids.

Explanation / Answer

Q 1) Here Independent variables are valerian root,mealatoninn, 5-HTP .

Dependent variable is Amount of time ( in minutes ) between consumption and sleep.

Q 2) Null and alternative hypothesis are

H0: All three groups have same mean

H1: Atleast one group has different mean

Q 3) By using excel we can compute one way Anova as

put all the data in excel worksheet then

Click on Data ----> Data Analysis -----> Anova : single factor ----->Input range : ( Select all the data ) -----> Alpha : 0.05 -----> Output range : ( Select any empty cell ) ------> Ok

we get the output of One way Anova

The Critical value = Fcrit = 3.3541 ....( From excel output )

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