A new method of teaching reading to elementary students is being compared to the current standard method. Eight pairs of students with similar reading IQs are found and one member of each pair is randomly assigned to the new method while the other is assigned to the standard method. Do the data in the table below support the hypothesis that the population mean test score for students taught by the new method (u1 ) is greater than the mean reading test score for those taught by the standard method (u2 ). Test using a = .05.
READING TEST SCORES FOR EIGHT PAIRS OF STUDENTS
| Pair |
New Method |
Standard Score |
| 1 |
77 |
72 |
| 2 |
74 |
68 |
| 3 |
82 |
76 |
| 4 |
73 |
68 |
| 5 |
87 |
84 |
| 6 |
69 |
68 |
| 7 |
66 |
81 |
| 8 |
80 |
76 |
- Perform a hypothesis test using the six-step method. Show all work. Be sure to include your interpretation of results in the final step.
- List an Excel formula that supports your hypothesis conclusion.