Professor Snape is worried about Harry and the other wizards' performance in their Defence Against the Dark arts class. He decides that is time for an intervention and develops a new potion that increases the wizards' motivation to study. He uses the new potion before the second Defence Against the Dark arts class and decides to compare these scores with the scores from the first test to see if it worked as well as he expected. Wizard Test 1 Score Test 2 Score 1 56 72 2 45 50 3 78 80 4 76 76 5 70 75 6 67 72 7 71 72 8 69 65 9 68 75 10 55 65 Determine whether and independent t-test or a dependent t-test will be the most appropriate and compute the t-statistics (two-tailed, α = 0,05). Show all manual calculations. Interpret the results and indicate whether Professor Snape's new potion was successful.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
- Professor Snape is worried about Harry and the other wizards' performance in their Defence Against the Dark arts class. He decides that is time for an intervention and develops a new potion that increases the wizards' motivation to study. He uses the new potion before the second Defence Against the Dark arts class and decides to compare these scores with the scores from the first test to see if it worked as well as he expected.
|
Wizard |
Test 1 Score |
Test 2 Score |
|
1 |
56 |
72 |
|
2 |
45 |
50 |
|
3 |
78 |
80 |
|
4 |
76 |
76 |
|
5 |
70 |
75 |
|
6 |
67 |
72 |
|
7 |
71 |
72 |
|
8 |
69 |
65 |
|
9 |
68 |
75 |
|
10 |
55 |
65 |
- Determine whether and independent t-test or a dependent t-test will be the most appropriate and compute the t-statistics (two-tailed, α = 0,05). Show all manual calculations.
- Interpret the results and indicate whether Professor Snape's new potion was successful.
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