EDUR 8131
One sample and Two Independent Samples t-test Exercise
Instructions:
Present results in APA style. For the one sample t-test, either results in written or table format is acceptable.
1. Is there any evidence that leadership style (as measured by the amount of controlling behavior) differs between principals in urban and rural areas in Georgia? Data are provided in Table 1 below.
Table 1: Leadership Style Scores for Two Groups
Urban |
|
Rural |
||
88 |
87 |
|
53 |
82 |
55 |
88 |
|
75 |
36 |
91 |
79 |
|
86 |
82 |
45 |
88 |
|
45 |
81 |
86 |
|
|
92 |
59 |
Note. Higher scores indicate more controlling behavior.
2. Using just the urban data in Table 1, address the following research question.
Research Question: Do urban principals in Georgia show levels of controlling behavior that differ from urban principals nationwide? Prior research in this areas shows that nationally urban principals average about a 73 on this measure of controlling behavior.
3. Laser toner cartridges for the Hewlett-Packard LaserJet 1200 series, which cost $75 each, are estimated to last approximately 2000 pages per cartridge assuming 5% coverage per page. To test this advertising claim, 15 toner cartridges were purchased and installed in 15 HP LaserJet 1200 printers throughout a school district. Secretaries were asked to record the number of pages printed with each cartridge and stop recording once visible lines of non-print became apparent. Below are the number of pages recorded. Is there any evidence that the advertisers' claim of 2000 pages is supported?
Number of pages recorded: 1985, 1675, 1548, 1756, 1865, 1235, 1498, 1195, 1611, 1754, 2056, 1454, 1332, 1444, and 1669
4. Do children diagnosed with depression demonstrate differing levels of intelligence from students not diagnosed with depression? Data are provided below in Table 2.
Table 2: IQ scores for Depressed and Nondepressed Children
Depressed |
Nondepressed |
|||
100 | 118 | 81 | 105 | |
91 | 127 | 118 | 119 | |
96 | 103 | 118 | 111 | |
108 | 86 | 106 | 85 | |
90 | 118 | 115 | 106 |
Note. Higher scores indicate higher levels of intelligence.