There are several sections of statistics, some in the morning (AM) and some in the afternoon (PM). We want to see if afternoon sections do better. We randomly select 21 students from the AM sections and 27 students from the PM sections. Their final averages (out of 100) are given in the table with other relevant statistics. The degrees of freedom (d.f.) is given to save calculation time if you are not using software. (a) Find the test statistic. n 8 27 76.4 226.8036 15.06 372.8761 19.31 21 70 degrees of freedom: d.f. = 37 Test the claim that the average for all students in the PM sections is greater than the AM sections. Use a 0.05 significance level. (b) Find the critical value. PM AM

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