Which Delivery Method Is Best? At a community college, the mathematics department has

Chapter 13, Problem 15

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Which Delivery Method Is Best? At a community college, the mathematics department has been experimenting with four different delivery mechanisms for content in their Intermediate Algebra courses. One method is the traditional lecture (method I), the second is a hybrid format in which half the class time is online and the other half is face-to-face (method II), the third is online (method III), and the fourth is an emporium model from which students obtain their lectures and do their work in a lab with an instructor available for assistance (method IV). To assess the effectiveness of the four methods, students in each approach are given a final exam with the results shown next. Do the data suggest that any method has a different mean score from the others? Method I 81 81 85 67 88 72 80 63 62 92 82 49 69 66 74 80 Method II 85 53 80 75 64 39 60 61 83 66 75 66 90 93 Method III 81 59 70 70 64 78 75 80 52 45 87 82 79 Method IV 86 90 81 61 84 72 56 68 82 98 79 74 82 (a) Write the null and alternative hypotheses. (b) State the requirements that must be satisfied to use the oneway ANOVA procedure. (c) Assuming the requirements stated in part (b) are satisfied, use the following StatCrunch output to test the hypothesis of equal means at the a = 0.05 level of significance. (d) Shown are side-by-side boxplots drawn in StatCrunch of each delivery method. Do these support the results obtained in part (c)? (e) Interpret the P-value. (f ) Verify the residuals are normally distributed.