State University offers several sections of a Business Statistics course in an in-class and online format. Both formats are administered the same final exam each year. You have been assigned to test the hypothesis that the average final exam score of in-class students is different from the average final exam score of online students. The following data summarizes the sample statistics for the final exam scores for students from each format. Assume that the population variances are unequal.
If Population 1 is defined as in-class format and Population 2 is defined as online format, and using
α = 0.05, which one of the following statements is true?
▸ Because the
p-value is less than
α, you can conclude that the average final exam score of in-class students is equal to the average final exam score of online students.
▸ Because the
p-value is greater than
α, you can conclude that the average final exam score of in-class students is different from the average final exam score of online students.
▸ Because the
p-value is greater than
α, you cannot conclude that the average final exam score of in-class students is different from the average final exam score of online students.
▸ Because the
p-value is less than
α, you cannot conclude that the average final exam score of in-class students is different from the average final exam score of online students.
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