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# hw4 - STA 3024 Assignment 4 Form 0 A class was given an...

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STA 3024 Assignment 4: Form 0 A class was given an exam for which there were five different forms (A, B, C, D, E). Each form consisted of the same 20 questions in a varying order. We want to investigate whether the forms were all equally difficult, or whether the order of the questions somehow affected the difficulty. The data for the class is shown below, along with the values of SS G and SS E . Form A Form B Form C Form D Form E Overall Number of Students 50 50 50 50 49 249 Mean 80.9 85.2 79.5 80.3 81.7 81.5 Standard Deviation 13.4 12.9 14.3 13.5 14.0 13.7 SS G = 977 . 03 , SS E = 45343 . 05 . This form is only for people whose UFID number starts with 0. 1. Suppose we want to analyze the data using one-way ANOVA. Our explanatory variable will be exam form (A, B, C, D, E), and our response variable will be exam grade on a 0–100 scale. If we had instead recorded exam grade simply on a pass/fail scale, would we still be able to analyze the data using one-way ANOVA? If so, explain how. If not, state what methods should be used instead.

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