Please follow the steps in hypothesis testing outlined in the module to provide your answers to each of these questions.

1. A study was conducted to investigate the effects of differing doses of insulin on the blood sugar levels of guinea pigs. The guinea pigs were randomly assigned to three treatment groups (A, B, and C). Pre-treatment blood sugar levels were measured and the appropriate insulin treatment was administered according to group assignment. After three hours, the blood sugar levels were remeasured and the percentage decrease in blood sugar was calculated.

Research Question: Is there a difference in the average percentage decrease in blood sugar based on the insulin treatment administered?

1. Do these data provide sufficient evidence to indicate a difference in mean scores among the groups? Test at the 10% level of significance level. Be sure to include the assumptions required to implement this test. State whether you would do a post hoc analysis (but do not have to do if one is indicated).
2. Test the data set for normality using the appropriate hypotheses.
3. Test the data set for equality of variance.
4. Use the Scheffe test to determine which (if any) of the pairs of means differ significantly at the .10 level of significance

Group

1.00 13.60

1.00 17.40

1.00 21.80

1.00 14.70

1.00 16.30

1.00 21.20

2.00 19.20

2.00 23.90

2.00 26.00

2.00 16.40

2.00 19.50

2.00 22.10

3.00 24.20

3.00 20.40

3.00 16.20

3.00 31.20

3.00 28.00

3.00 23.80

2. The effect of alcohol abuse on concentration and coordination was studied by comparing the time (in seconds) taken to complete a task involving hand/eye coordination. Twelve patients undergoing treatment for alcohol abuse and 12 non-abusers were enrolled in this study. To control for any influence of gender and age, the 24 subjects were blocked into three categories by age and gender. Use a two-way ANOVA test to do your analysis. We will assume this data set has equality of variance.

Individual Age Gender Abuse Time

1.00 1.00 1.00 1.00 23.00

2.00 1.00 1.00 1.00 16.00

3.00 1.00 1.00 2.00 28.00

4.00 1.00 1.00 2.00 22.00

5.00 1.00 2.00 1.00 18.00

6.00 1.00 2.00 1.00 26.00

7.00 1.00 2.00 2.00 24.00

8.00 1.00 2.00 2.00 29.00

9.00 2.00 1.00 1.00 21.00

10.00 2.00 1.00 1.00 19.00

11.00 2.00 1.00 2.00 30.00

12.00 2.00 1.00 2.00 25.00

13.00 2.00 2.00 1.00 24.00

14.00 2.00 2.00 1.00 21.00

15.00 2.00 2.00 2.00 32.00

16.00 2.00 2.00 2.00 22.00

17.00 3.00 1.00 1.00 28.00

18.00 3.00 1.00 1.00 23.00

19.00 3.00 1.00 2.00 40.00

20.00 3.00 1.00 2.00 43.00

21.00 3.00 2.00 1.00 26.00

22.00 3.00 2.00 1.00 31.00

23.00 3.00 2.00 2.00 41.00

24.00 3.00 2.00 2.00 46.00

Research question: Does gender and abuse status have an influence on hand/eye coordination times?

1. What are the assumptions needed to conduct a two-way ANOVA?
2. Test the data set for normality using the appropriate hypotheses to answer the research question. Use the 10% level of significance for testing.
3. Using a two-way ANOVA, determine if gender and abuse have an influence on hand/eye coordination times. Use the 10% level of significance for testing.

(For question 2 ii and iii use the 10% level of significance for testing. OR 0.10 We are just looking for a inflence but have not hypothesized that eg. men who are abusers will have longer hand/eye coordination times compared to women; and etc. These hypotheses are directional.)

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