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AM svss PM sections of stats , signicance fest (Raw Data, Software Required): There are twn sections of statistics, one in the afternoon (PM) With an students and one in the morning (AM) with 22 students. Each section takes the identical test. The PM section, on average, scored higher than the AM section. The scores from each section are given in the table below. Test the claim that the PM section did sign cantly better than the AM section, i.e., is the difference in mean scores large enough to believe that something more than random variation produced this difference. Use a 0.05 signicance level. (a) use software tn calculate the test statistic. Dn not 'panl' the variance. This means you do not assume equal variances. PM 55\"\" (\"1) AM 55\"\" (X?) nound our answer to 2 decimal places. 50 PE as as (In) use software tn at the PTVE'UE Bf the test statlstlc. IloIJlld to4decimal Places. 93 El P-value : 55 54 34 72 (c) what is the conclusion regarding the null hypothesis? 57 44 O reject Hg 55 52 O fail to reject Ho 52 39 so as (d) choose the appmpflate concluding statement. 70 51 o The difference in mean scores is large enough to suggest this difference is due to something more than random variation. 82 73 0 There is not a tug enough difference in mean scores to suggest that this difference is anything more than a result of random variation. 59 77 0 We have proven that students in PM sections of statistics do better, on average, than students taklrlg AM sections. 3: 2: 0 We have proven that there is no difference between AM and PM sections of statistics. 75 54 s: 72 BE 74 62 70 so 41 95 E4 55 53 51 55 72 72 100 B7 79 72