QUESTION 1:

For the following questions on hypothesis testing and one-way ANOVA (50 total marks), be sure to use the five-step process demonstrated in class and by the Tutorial Leaders. In addition, be sure to show all your work including:

• Draw and shade the distribution
• Relevant formulas (if any)
• Rearrangement of formulas (if needed)
• Concluding statements

Conti and Musty (1984) bilaterally injected either a placebo or 0.1, 0.5, 1, or 2 micrograms (g) of THC directly into the nucleus accumbens of rats.The investigators recorded the change in the activity level of the animals after injection. It was expected that activity would increase more with smaller injections than with larger ones. The data is presented in the table below.

Placebo	Sq/dv	0.1g	Sq/dv	0.5g	Sq/dv	1g	Sq/dv	2g	Sq/dv
30 27 52 38 20 26 8 41 49 49		60 42 48 52 28 93 33 46 63 45		71 50 38 59 65 58 74 67 61 57		33 78 71 58 35 35 46 32 45 47		36 27 60 51 29 34 24 17 50 52
M=34		M=51		M=60		M =48		M=38

a) Was the effect of leadership type significant? Use = .05.

Step 1: State the hypotheses:

Step 2: Locate the critical region:

Step 3: Compute the test statistic and present your results in an ANOVA table.

Step 4: Make a decision:

Step 5: Report the result of the test:

b) Estimate the effect size: Compute and interpret the effect size using both eta-squared and omega squared.

c) Post-hoc Test: Regardless of the results of the ANOVA, conduct a Tukey HSD post-hoc test. How many homogeneous subgroups are there? Reconcile this finding with the results of the ANOVA.