State University offers several sections of a BusinessStatistics course in an in-class and online format. Both formatsare administered the same final exam each year. You have beenassigned to test the hypothesis that the average final exam scoreof in-class students is different from the average final exam scoreof online students. The following data summarizes the samplestatistics for the final exam scores for students from each format.Assume that the population variances are unequal. In-class FormatOnline Format Sample mean 86.5 84.7 Sample size 22 25 Samplestandard deviation 4.6 6.1 If Population 1 is defined as in-classformat and Population 2 is defined as online format, and usingLaTeX: \alpha α = 0.05, the conclusion for this hypothesis testwould be because the absolute value of the test statistic is______________________________________________________________.less than the absolute value of the critical value, you canconclude that the average final exam score of in-class students isequal to the average final exam score of online students less thanthe absolute value of the critical value, you cannot conclude thatthe average final exam score of in-class students is different fromthe average final exam score of online students more than theabsolute value of the critical value, you cannot conclude that theaverage final exam score of in-class students is different from theaverage final exam score of online students more than the absolutevalue of the critical value, you can conclude that the averagefinal exam score of in-class students is different from the averagefinal exam score of online students
