Question

A researcher is interested in the effects of a new drug for memory enhancement (MOM) and...

  1. A researcher is interested in the effects of a new drug for memory enhancement (MOM) and finds 18 college student volunteers. She randomly assigns 6 students to each of 3 drug conditions (0 gmd, 10 gms or 20 gms) and then gives each a 15 item list to learn and immediately recall. The retention scores are presented below:

0 grams of MOM

Retention Score

10 grams of MOM

Retention Score

20 grams of MOM

Retention Score

                                

8

10

10

6

7

8

7

8

7

5

6

9

10

11

15

9

11

13

  1. Present the null and alternate hypotheses (2 pts)
  2. Conduct an ANOVA on the data presenting your results in a Summary Table. (25 pts)
  3. What is the critical value of F (2 pts)
  4. What is your decision with respect to the null hypothesis (1pt)
  5. What is the effect size for the independent variable drug dosage? (5 pts)
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a.

b.

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
0 grams of MOM 6 45 7.5 3.5
10 grams of MOM 6 53 8.833333 4.566667
20 grams of MOM 6 62 10.33333 9.466667
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 24.11111 2 12.05556 2.062738 0.161656 3.68232
Within Groups 87.66667 15 5.844444
Total 111.7778 17

c. F0.05,2,17=Critical value=3.6823

d. Since F-value<Critical value so we fail to reject H0 at 5% level of significance.

e. Effect size=SSB/SST=24.11111/111.7778=0.22

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