infer stats in decision making 1

  • Ms. Smith’s Classroom Experiment
    • Which test are you using?
    • What are your H0 (null hypothesis) and Ha (alternative hypothesis)?
    • Calculate your statistic.
    • What decision does this inform you to make and why? (You may use the critical value in the chart or the calculated p-value, but you must indicate what you are doing.)
    • Write a one to two sentence conclusion that correctly responds to the question.Use APA format to report your statisticex. [χ^2(df)=1.1, p<.05]

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

40.52

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

98.38

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.

  • 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:

Before Lunch

After Lunch

86

79

23

67

59

45

74

46

98

67

38

90

81

80

14

79

32

72

38

63

35

84

51

38

31

60

18

56

57

20

44

70

68

43

27

33

24

16

16

14

31

58

24

30

82

95

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

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