An educational researcher is interested in whether students do better in online classes as compared to on-ground

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An educational researcher is interested in whether students do better in online classes as compared to on-ground classes. A random sample of 50 students was randomly assigned to participate in either an online or an on-ground statistics class. The final examination was the same for both classes, the grades of which are given in Table 11.15.

a. Using the Mann-Whitney test, determine if there is a difference in the population median examination scores between students who take online classes as compared to those who take on-ground classes.

b. Do you believe that the assumptions underlying the Mann-Whitney test have been violated?

c. Using an independent two-sample \(t\)-test, determine if there is a difference in the population mean examination scores between students who take online classes as compared to those who take on-ground classes.

d. Do you believe that the assumptions underlying the two-sample \(t\)-test have been violated?

e. Which analysis do you think is the most appropriate for the given data?

Table 11.15.

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