1. By hand calculate the following for each variable: a. The mean b. The sum of squares c. The variance (estimate of the population) d. Standard deviation e. Standard error X 4 8 3 4 5 9 6 9 9 11 19 14 18 23 25 Y 5 4 9 7 8 5 8 7 6 7 5 5 4 10 12 Z 7 6 8 7 8 4 10 7 7 8 6 7 10 14 20 2. Conduct a correlation between Y and Z. 3. Conduct two single sample t-tests with the data above assuming the population mean is 12 for both variables 4. Conduct a dependent sample t-test between x and y as if x was before and y was after. 5. Conduct an independent sample t-test between x and z. 6. Conduct a one-way ANOVA between the variables above. 7. Conduct chi squared tests on the data below: a. Three groups with 40, 50 and 30 people in them each when the groups are expected to be equal. b. Two groups with 40 and 45 each when the groups are expected to be 45% and 55%.