Jennifer Brown Unit 3 IP
Running Head: SAMPLES
Using the t Test and t Distribution
Jennifer Brown
American Intercontinental University
Using the t Test and t Distribution
AIU claims that the average level of intrinsic job satisfaction of American workers is equal to 5. A sample of 25 AIU American workers was sampled. Is there enough evidence to reject AIU’s claim at α = 0.05? We need to determine the mean of the ratings that the 25 surveyed people gave. This is done by adding all the ratings together and dividing by 25 (3.2 + 3.5 + 4.8 + 4.9 + 5.5 + 4.3 + 6.1 + 6.5 + 6.6 + 3.8 + 4.6 + 5.6 + 5.7 + 5.7 + 3.4 + 3.6 + 3.7 + 4.0 + 4.2 + 4.5 + 5.6 + 5.9 + 6.0 + 6.2 + 6.4 = 124.3/25 = 4.972). Now, we can determine the standard deviation. This is done by subtracting 4.972 from each rating and squaring the number. Then you add up all of the calculations and divide by one less than the number of variable used. Then you take the square root of that number, and you have your standard deviation. For simplification, I used the standard deviation formulas built into Excel: