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The file Seating_Choice_versus_GPA.csv contains the GPA, Gender, and choice of Row (Back, Front, Middle) seating for a random sample of students in a statistics course.
The file Seating_Choice_versus_GPA.csv contains the GPA, Gender, and choice of Row (Back, Front, Middle) seating for a random sample of students in a statistics course. You will use ANOVA to investigate whether the data is statistically significant evidence of a difference in the mean GPA across the Row variable population groups. (1) Exploratory data analysis is an important first step. Produce a frequency table of the Row variable and include the table here. How many observations are there in each group? (2) Produce a side-by-side boxplot of GPA by the Row groups and include the plot here. Does the plot suggest differences in the population average GPA across the Row groups? Does the plot suggest differences in the population variance of GPA across the Row groups? (3) Use the by( function to compute the sample means and sample standard deviations of each of the Row groups and include the output here. Do the results suggest differences in the population average GPA across the Row groups? Do the results suggest differences in the population variance of GPA across the Row groups? (4) Perform the ANOVA with GPA as the response and Row as the explanatory variable. Paste the output from summary( here. (5) What are the hypotheses being tested in the ANOVA? (6) What conclusion do you reach as a result of the ANOVA? Why? (7) Perform post-hoc multiple comparisons with Tukey's HSD and include the output here. What are your conclusions? (8) Produce residual diagnostic plots and assess whether the ANOVA assumptions are satisfied
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