DATA for Teacher's Statistical Analysis
Student number class 1 midterm class 2 midterm class 3 midterm class 1 final exam class 2 final exam class 3 final exam
1 86 85 89 76 77 76
2 98 60 91 97 80 100
3 99 72 90 96 79 86
4 84 77 89 73 76 75
5 82 58 90 79 73 88
6 92 57 91 82 79 99
7 93 68 87 88 73 68
8 63 69 86 59 77 67
9 100 61 88 98 76 70
10 83 72 91 83 77 100
Hypothesis 1:
The teacher is concerned that there is a significant difference between the average midterm exam scores for the classes based on the number of days per week that the students attend class. Class 1 and 3 meet on Monday, Wednesday, and Friday, while Class 2 meets on Tuesday and Thursday. If there is a difference in the average midterm exam score for the classes, then she wants to know whether meeting three times a week is more or less effective than meeting only twice, and she wants to know how different these average midterm scores are.
1. Is there a significant difference in the average midterm grade, at the 5% level, between the classes that meet on M/W/F and those that meet on T/R? Yes or No.
2. If there is a significant difference, then tell which group has higher midterm scores on average and tell how much better the group does (with 95% confidence).
Null: ___________________________
What do the symbols that you used in the null represent? _________________________
Alternative: ____________________________
Name of Test Used
Test statistic: name =____ numerical value = ____
p-value: _________________
Conclusion: _________________
If you found a significant difference, then determine which class schedule is most effective and how much more effective it is than the other.
Question
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1. Is there a significant difference in the average midterm grade, at the 5% level, between the classes that meet on M/W/F and those that meet on T/R? Yes or No.The classes that meet on M/W/F are classes 1 and 3. Those that meet on T/Thr are class 2.
YES; From the table 1 above, there is a significant difference between the classes that meet on M/W/F and those that meet on T/R.
Class 3 is different from class 2 and class3 is different from class 1. Class 3 and class 1 are not significant in terms of midterm tests.
2. If there is a significant difference, then tell which group has higher midterm scores on average and tell how much better the group does (with 95% confidence).
Class 3 has a high average midterm scores (mean difference of -21.3 and -1.2 higher than class 2 and 1 respectively.)
Null: H0: μ1 = μ2 = μ3, all the means are the same...
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