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In: Statistics and Probability

Students who took STAT 1001 can be divided into two groups; those who attended class regularly...

Students who took STAT 1001 can be divided into two groups; those who attended class regularly and benefited from the awesome lecture and those who did not attend and missed out on great information. Two independent random samples of 20 students were taken from each group (i.e. n1 = n2 = 20), and their final exam scores were registered. The average grades for those who attended regularly and those who did not were 71.5% and 61.5%, respectively. Let’s assume that the population St. Dev for both groups is 10% and the grades are normally distributed. At the 2% level of significance, is there sufficient evidence to conclude that, on average, regular attendees perform:

1) more than five percentage points better than those who did not?

2)better than those who did not?

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