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.