Question

INCLUDE:

all Hypothesis Tests must include all four steps, clearly labeled

all Confidence Intervals must include all output as well as the CI itself

include which calculator function you used for each problem

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,

(be very careful when inputting your data; triple check, if necessary)

Answer 1