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Question 1 - Midterm Scores A Business School offers multiple sections of a second-year introduction to statistics course, which is taught by three instructors. Their names are Dr. Who, Dr. Jones (Jr.), and Prof. X. The dataset Midterm Scores contains the midterm scores of a random sample of students who took the course with one of these instructors over the last several years. The Business School would like to determine whether the average midterm score differs among these three instructors. a) Create a side-by-side boxplot of the data and explain whether the similar variance and the nearly normality conditions for conducting an ANOVA seem to be satisfied. b) In addition to a side-by-side boxplot, what other graphs can you use to check whether the conditions for using an ANOVA are satisfied? Note: You don't need to produce the graphs; only explain how you would produce them. Answer the following questions, with exception of part g), assuming that the conditions for conducting an ANOVA are satisfied. c) Use software to calculate the sample variance for each instructor and then use it to calculate the pooled variance manually. Verify that your pooled variance value is the same as the MSE value displayed in the partial ANOVA table in part d) below. d) Fill in manually the missing values (1) to (6) in the ANOVA table below. Show your computations (maximum of 2 decimal places). Check your results using software. ANOVA Source of Variation SS of MS F p-value Between Groups 2 (2) (3) (4) Within Groups (5) (6) 181.89 Total 28733.35 152 e) Use the one-way ANOVA table you produced in part d) to test whether there is a significant difference in the true mean midterm score among the three instructors. Use the critical value approach and a 5% confidence level. Make sure you follow all the steps for hypothesis testing indicated in the Instructions section above, show your computations, and state the business significance of your conclusion. () Use the Bonferroni method for multiple comparisons to determine which population means differ (if any) at a = 0.05. Show your computations and clearly state your conclusion for each pairwise comparison