In: Statistics and Probability
a. all Hypothesis Tests must include all four steps, clearly labeled;
b. all Confidence Intervals must include all output as well as the CI itself
c. include which calculator function you used for each problem.
3. At a community college, the mathematics department has been experimenting with four different delivery mechanisms for content in their Statistics courses. One method is traditional lecture (Method I), the second is a hybrid format in which half the time is spent online and half is spent in-class (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 effective of the four methods, students in each approach are given a final exam with the results shown in the following table. Assume an approximate normal distribution for each method. At the 5% significance level, does 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 | 85 | 79 | |||
Method IV | 86 | 90 | 81 | 61 | 84 | 72 | 56 | 68 | 82 | 98 | 79 | 74 | 82 |
Data
Ho: µ1 = µ2= µ3 = µ4
Ha: at least one mean is different
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