Twenty five high school students complete a preparation program for taking the SAT test. Here are the SAT scores from the 25 students who completed the SAT prep program:
The mean of these scores is 536.00. We know that the population average for SAT scores is 500 with a standard deviation of 100.
The question is, are these students’ SAT scores significantly greater than a population mean of 500 with a population standard deviation of 100 ?
Note that the the maker of the SAT prep program claims that it will increase (and not decrease) your SAT score. So, you would be justified in conducting a one-directional test. (alpha = .05).