Many innovative and inclusive teaching practices require taking risks. However, not all academics are in the privileged position to take any risks, especially if they are sessional or early in their careers, and student ratings can negatively impact their career prospects. An educational researcher is interested in whether junior teachers risk taking behaviour is different than senior teachers. The researcher randomly samples several teachers to fill a survey on inclusive teaching and risk taking to implement inclusive teaching in their classrooms. Each teacher is asked to give a risk-taking score from 1 (extremely conservative) to 10 (risk-seeker), and their scores were recorded in RiskScores xIsx. Download and open this file in Excel. Use Excel to undertake a hypothesis test to address the research question below. Research Question: "Is the average risk-taking scores differ between junior and senior teachers?" Figure 1: Junior teachers Figure 2: Senior teachersFigure 1: Junior teachers Figure 2: Senior teachers Frequency Frequency O 6.0 6.5 7.0 7.5 8.0 6.0 6.5 7.0 7.5 8.0 Risk scores Risk scores Figure 3: Differences (Junior - Senior) Figure 4: Boxplots 6.0 6.5 7.0 7.5 8.0 Frequency Risk scores O -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 Junior teachers Senior teachers Risk scores1. (1 mark] The most appropriate test for these data is: A two-sample Meet 3 2. (1 mark] Which graphical display would be useful to check normality assumption for this hypothesis? A. Figure 1 = A. Figure1 E. Figure}: C. Figure 3 D. Figure4 E. Figure 1 3t 2 F. Figure 3 Br. 4 G. No need to check normality assumption H. All four gures are needed 3. (1 mark) How can you check the assumption of equal variances? E. Both A & B could be used $ A. Comparative boxplots could be used (e.g. if the sizes of boxes are similar or not) B. Descriptive statistics such as variance, standard deviation and range could be used C. Descriptive statistics such as mean and median could be used D. The histogram of differences could be used E. Both A & B could be used F. No need to check the assumption of equal variances For the remaining questions you may assume that any relevant assumptions have been met. 4. (2 marks) The absolute value of the test statistic is equal to 0.586 (3dp) 5. (1 mark) The degrees of freedom is equal to 33 (Integer) 6. (1 mark) The p-value is larger than 0.05 true * 7. (2 marks) The test shows that the risk scores were A. significantly different between junior and senior teachers, possibly higher for junior teachers. * A. significantly different between junior and senior teachers, possibly higher for junior teachers. B. significantly different between junior and senior teachers, possibly higher for senior teachers. C. not significantly different between the two groups of teachers