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讲解MAT 113、辅导CS/python, C/C++编程设计、multiple section留学生讲解 解析Java程序|辅导R语言程序

1)You are interested in the final exam scores of one MAT 113 sections compared to another. The instructors cannot release the scores, but you are able to sample scores from each sections and find:

Section A: 87, 99, 86, 68, 95, 78, 69, 64, 65, 77, 90, 100, 81, 65, 58, 56, 65, 66, 89, 85, 66, 97, 54, 82, 99, 90, 72, 90, 76, 81, 71

Section C: 97, 68, 67, 58, 81, 96, 56, 73, 74, 76, 72, 89, 88, 65, 51, 59, 53, 83, 100, 93, 53, 50, 66, 66, 53, 99, 69, 61, 58, 97, 69, 40, 70, 66

You are in section A and hear the other section’s test was harder. Do these samples provide evidence at the 5% level that the exam in section C was harder?

2)A college has a new tutoring center, to test its effectiveness 20 random clases with multiple sections and a common final are selected. In some of the sections attending a tutoring session at the new center is required, in other sections it is optional. Below we have the average scores for each type of section for each of the 20 classes (all are different, bio, chem, history, stats, etc). Is there evidence at the 1% significance level that requiring attendance at the tutoring center results in improved test grades?

Class Required Optional
1 84 70
2 81 72
3 90 71
4 76 77
5 78 95
6 95 88
7 77 75
8 88 84
9 86 70
10 93 89
11 78 84
12 77 70
13 77 83
14 88 85
15 78 84
16 80 87
17 76 58
18 88 77
19 79 71
20 71 71

3)We believe that people who enjoy math more are less likely to miss class. To test this, we divide our class data into 2 groups, a group of students who missed 1 or fewer classes and a group of students who miss 2 or more classes. Do we have sufficient evidence at the 5% level to conclude those who attend class more regularly have a higher average math enjoyment rating?

4)Form a hypothesis about a difference of means of two populations. Make sure that these populations are such that you need to subset the data (so do not just compare your math ratings to a different rating). State your hypothesis and then provide your findings.

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