All the questions in this picture, 1-2 is done

1. Let's say we have two groups, group 1 = 9- to 15-year-old girls & group 2 = 16- to 22-year- old girls, who are given questionnaires regarding their desire to see a "boy band" in concert. The questionnaire was rated on a scale of 1 = no desire to see the boy band to 10 = extremely high desire to see the boy band. Group 1 had a mean of *1 = 7.5 and Group 2 had a mean of X_ = 3.7. The sample size for each group was Mi = 10 and N2 = 10. Standard deviations for group 1 and group 2 are $1 = 1.5 and s2 = 1.2, respectively. We want to know if the sample means differ from one another and decide to do an independent-samples t test. Please compute the observed t statistic by hand. Report the t statistic using three decimal places (more technically, round to the thousandths). For full credit, be sure to show all of your work. (3 points - 2 points for correct answer and 1 point for showing work) Formula: X X2 find = (N1 -1)si + (N2 -1)s = 6.256 1 1 N+ N2 -2 2. What are the degrees of freedom for the independent-samples t test computed in question 1? For full credit, be sure to show all of your work. (1 point for correct answer) Formula: find degrees of freedom = (N1 + N2) -2 = 18 3. Assuming our research hypothesis was non-directional and our significance level was set at a = .05, what are the critical values associated with the independent t test from questions 1 and 2 (specify the sign[s] of the values)? (1 point for correct answer) 4. Based on the observed t value from question 1 and the critical t value from question 3, would you conclude that 9-15 year old girls significantly differed from 16-22 year old girls in their average desire to see the boy band in concert? (1 point for correct answer) 5. Using the data set "Problem Set 8 Data Set" found on Canvas, compute a 2-tailed independent-samples t test with a significance level of a = .05 using "group" as the grouping variable (groups are coded 0 and 1) and "knowledge" as the dependent variable. For credit, be sure to include your output. (3 points - 2 points for getting the correct output and 1 point for including the output) 6. Using the output from question 5, report the results of the independent-samples t test. Use the proper notation including the degrees of freedom, observed value, and p value. Also report the 95% confidence interval. Use three decimal places (more technically, round to the thousandths). HINT: Remember results often differ depending if variances are equal or not equal between groups. Be sure to interpret the correct lines of output depending on the significance of Levene's test. (1 point - for all correct answers)