1.
Ms. Smith’s Classroom Experiment
40.52
98.38
Class A 
Class B 
Class C 

50. 90 
91.04 
58 .93 

28.55 
81 . 51 
40.52 

46 . 33 
76.55 
43 .89 

28.42 
85. 56 
47.99 

36.19 
36.49 
22. 14 

93.61 
70 .91 
40.42 

23 .73 
92.23 
33.73 

77.83 
50.48 
60 .29 

54.34 
75.05 

43. 32 
38 .47 
37.40 

63 .96 
45 .63 
70.01 

56.19 
89.13 
31 .17 

17.70 
65.04 
13.41 

81.86 
83.31 
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 

55.04 
56.49 

4.10 
13.89 
31.12 

34.47 
49.37 
17.87 
Ms. Smith teaches three Algebra I 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.
a. Which test are you using?
b. What are your H0 (null hypothesis) and Ha (alternative hypothesis)?
c. Calculate your statistic.
d. What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated pvalue, but you must indicate what you are doing.)
e. Write a one to two sentence conclusion that correctly responds to the question. Use APA format to report your statistic ex. [χ^2(df)=1.1, p<.05]
2.
Mr. Jones and the New Worksheet
Mr. Jones wanted to check if there was an observable impact of a particular worksheet on his students’ test scores for Chapter 1. His idea was to test if there was a significant variation in the average test score of the class that used the worksheet in comparison to the class that did not. In the class before lunch, he used the worksheet but not the class after lunch. He has 23 students in each of the two classes. Their test scores are below:
67
79
38
38
16
14
24
Before Lunch 
After Lunch 

86 
79  23 
67 

59 
45  74  46  
98  38  90  
81 
80 
14  
32 
72 
63  
35 
84 
51  
31  60  18  56  
57 
20  44  70  
68 
43  27  33  
24 
16 

58 
30 

82 

95 

a. Which test are you using?
b. What are your H0 (null hypothesis) and Ha (alternative hypothesis)?
c. Calculate your statistic.
d. What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated pvalue, but you must indicate what you are doing.)
e. Write a one to two sentence conclusion that correctly responds to the question. Use APA format to report your statistic ex. [(df)=1.1, p<.05]