INCLUDE:

all Hypothesis Tests must include all four steps,clearly labeled

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

include which calculator function you used for eachproblem

At a community college, the mathematics department has beenexperimenting with four different delivery mechanisms for contentin their Statistics courses. One method is traditional lecture(Method I), the second is a hybrid format in which half the time isspent online and half is spent in-class (Method II), the third isonline (Method III), and the fourth is an emporium model from whichstudents obtain their lectures and do their work in a lab with aninstructor available for assistance (Method IV). To assess theeffective of the four methods, students in each approach are givena final exam with the results shown in the following table. Assumean approximate normal distribution for each method. At the 5%significance level, does the data suggest that any method has adifferent 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, ifnecessary)