A psychologist is interested in the long-term effects of a divorce on the children in a family. A sample is obtained of = 10 children parents were divorced at least five years ago. Each n child is given a personality questionnaire measuring depression. In the general population, the scores on this questionnaire form a normal distribution with = 80 and = 12. The scores for   this sample are seen below. Do children from divorced families appear to differ in levels of depression from children in the general population? X X2 83 6889 81 6561 75 5625 92 8464 84 7056 107 11449 63 3969 112 12544 92 8464 88 7744 Sum 877 78765 Using SPSS to Conduct Single-Sample t-Tests Single-Sample problem from Gravetter & Wallnau, 9th Edition (Demo 9.1) t-Test set up the data (in Variable View), as seen below: Next, enter the data (in Data View) as seen below left: Once the data are entered, click-and-drag the menu to and then Analyze Compare Means, T Test. You’ll then see a window like the one above on the right. Click-and-drag the variable from the left into the box on the right. Note that to test H0: = 15, I’ve optimism  entered 15 into the window. Click on OK when you have done so and you will see an Test Value analysis window opened. The analysis should appear, as seen below. Note that there is no need to use the table of critical values of because the program shows the exact probability of obtaining t, a of -4.376 (in this case .002). All you have to do is determine if the probability level is greater t than .05 (retain H0) or less than .05 (reject H0). In this case, you would reject H0:  = 15 and conclude that the optimism scores were significantly lower in this class.
A psychologist is interested in the long-term effects of a divorce on the children in a family. A sample is obtained of n = 10 children parents were divorced at least five years ago. Each child is given a personality questionnaire measuring depression. In the general population, the scores on this questionnaire form a normal distribution with  = 80 and  = 12. The scores for this sample are seen below. Do children from divorced families appear to differ in levels of depression from children in the general population? X X2 83 6889 81 6561 75 5625 92 8464 84 7056 107 11449 63 3969 112 12544 92 8464 88 7744 Sum 877 78765 Using SPSS to Conduct Single-Sample t-Tests Single-Sample t-Test problem from Gravetter & Wallnau, 9th Edition (Demo 9.1) set up the data (in Variable View), as seen below: Next, enter the data (in Data View) as seen below left: Once the data are entered, click-and-drag the Analyze menu to Compare Means, and then T Test. You’ll then see a window like the one above on the right. Click-and-drag the optimism variable from the left into the box on the right. Note that to test H0:  = 15, I’ve entered 15 into the Test Value window. Click on OK when you have done so and you will see an analysis window opened. The analysis should appear, as seen below. Note that there is no need to use the table of critical values of t, because the program shows the exact probability of obtaining a t of -4.376 (in this case .002). All you have to do is determine if the probability level is greater than .05 (retain H0) or less than .05 (reject H0). In this case, you would reject H0:  = 15 and conclude that the optimism scores were significantly lower in this class.