Question

# Ms. Smith teaches three Algebra 1 classes that cover exactly the same content. She is wondering...

Ms. Smith teaches three Algebra 1 classes that cover exactly the same content. She is wondering if changing the order of some of the lessons would be beneficial to students. In class A, she teaches everything in the traditional order. In class B, she decides to skip Chapter 1 as it is preliminary information that students may already know. In class C, she decides to do Chapter 5 prior to doing Chapter 3. She would like to know if there are any significant differences in the average scores of the three classes.

 Class A Class B Class C 50.90 91.04 58.93 28.55 81.51 40.52 46.33 26.55 43.89 28.42 5.56 47.99 36.19 36.49 22.14 93.61 70.91 40.42 23.73 32.23 33.73 77.83 50.48 60.29 54.34 40.52 75.05 43.32 38.47 37.40 63.96 45.63 70.01 56.19 89.13 31.17 17.70 33.04 13.41 81.86 23.31 10.12 86.10 74.89 62.96 25.61 41.79 89.27 52.89 42.04 44.58 21.31 98.38 4.75 41.44 76.79 34.15 99.71 20.96 5.06 74.50 18.66 85.20 92.45 82.75 20.23 98.38 55.04 56.49 4.10 13.89 31.12 34.47 49.37 17.87

#### Homework Answers

Answer #1

Since we need to compare more than two population means so one way ANOVA will be used.

Following is the output of one way ANOVA:

 Anova: Single Factor SUMMARY Groups Count Sum Average Variance Class A 25 1333.89 53.3556 788.9803173 Class B 25 1239.43 49.5772 705.9474877 Class C 25 1036.75 41.47 571.4606583 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1843.920715 2 921.9603573 1.338509734 0.268682 3.123907 Within Groups 49593.32312 72 688.7961544 Total 51437.24383 74

The p-value of F test is:

p-value = 0.2687

Since p-value is greater than 0.05 so we cannot conclude that there is a significant differences in the average scores of the three classes.

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