Question
Variables are the things we measure. A hypothesis is a prediction about the relationship between variables. Variables make up the words in a hypothesis. In
Variables are the things we measure. A hypothesis is a prediction about the relationship between variables. Variables make up the words in a hypothesis.
In the attention-deficit/hyperactivity disorder's (ADHD's) hypothetical example provided in the tables below, the research question was: What is the most effective therapy for ADHD? One of the variables is type of therapy.Another variable is change in ADHD-related behavior, given exposure to therapy. You might measure change in the mean seconds of concentration time when children read. This experiment is designed to obtain children's concentration times while they read a science textbook and to find out whether the therapy used worked on any of the children.
Use the stated and to calculate probabilities of the standard variable z to get the value of p (up to three decimal places). In addition, respond to the following questions for each pair of parameters:
- Which child or children, if any, appeared to come from a significantly different population than the one used in the null hypothesis?
- What happens to the "significance" of each child's data as the data are progressively more dispersed?
In addition to the above, write a formal statement of conclusion for each child in APA style. A report template is provided for submission of your work.
Note: Tables 1 and 2 are practice tables with answers. Tables 3 and 4 are the assignment tables for you to work on.
Table 1 ( = 100 seconds and = 10)
Child | Mean seconds of concentration in an experiment of reading | z-score (z = [X - ]/) | p-value |
1 | 75 | -2.50 | 0.0 |
2 | 81 | -1.90 | 0.0 |
3 | 89 | -1.10 | 0.1 |
4 | 99 | -0.10 | 0.4 |
5 | 115 | 1.50 | 0.0 |
6 | 127 | 2.70 | 0.0 |
7 | 138 | 3.80 | <0.0 |
8 | 139 | 3.90 | <0.0 |
9 | 142 | 4.20 | <0.0 |
10 | 148 | 4.80 | <0.0 |
Table 2 ( = 100 seconds and = 20)
Child | Mean seconds of concentration in an experiment of reading | z-score (z = [X - ]/) | p-value |
1 | 75 | -1.25 | 0.1 |
2 | 81 | -0.95 | 0.1 |
3 | 89 | -0.55 | 0.2 |
4 | 99 | -0.05 | 0.4 |
5 | 115 | 0.75 | 0.2 |
6 | 127 | 1.35 | 0.0 |
7 | 138 | 1.90 | 0.0 |
8 | 139 | 1.95 | 0.0 |
9 | 142 | 2.10 | 0.0 |
10 | 148 | 2.40 | 0.0 |
Table 3 ( = 100 seconds and = 30)
Child | Mean seconds of concentration in an experiment of reading | z-score | p-value |
1 | 75 | -0.83 | |
2 | 81 | -0.63 | |
3 | 89 | -0.37 | |
4 | 99 | -0.03 | |
5 | 115 | 0.50 | |
6 | 127 | 0.09 | |
7 | 138 | 1.27 | |
8 | 139 | 1.30 | |
9 | 142 | 1.40 | |
10 | 148 | 1.60 |
Table 4 ( = 100 seconds and = 40)
Child | Mean seconds of concentration in an experiment of reading | z-score | p-value |
1 | 75 | -0.63 | |
2 | 81 | -0.48 | |
3 | 89 | -0.28 | |
4 | 99 | -0.03 | |
5 | 115 | 0.38 | |
6 | 127 | 0.68 | |
7 | 138 | 0.95 | |
8 | 139 | 0.98 | |
9 | 142 | 1.05 | |
10 | 148 | 1.20 |
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