QuestionQuestion

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.

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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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