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In: Statistics and Probability

at a community college, the mathematics department has been experimenting with four different delivery mechanisms for...

at a community college, the mathematics department has been experimenting with four different delivery mechanisms for content in their Intermediate Algebra course. 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 date 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, 85, 79
method IV: 86, 90, 81, 61, 84, 72, 56, 68, 82, 98, 79, 74, 82

Using your TI-84 , test the hypothesis at the ×=0.05 level of significance. Please state the p-value and write a conclusion in the context of the problem.

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