Available Information: The t test for independent means is used when we want to know whether there is a difference between populations. For instance, we may want to know if college men and women differ on some psychological characteristic. To assess this, we would need information gathered from a group of men and information gathered from a separate group of women. The means are considered \"independent\" when there is no overlap between groups; a person cannot be male and female at the same time. The t test for independent means is used only for tests of the sample means. Thus, our hypothesis tests whether the average difference between scores (M1 - M2) suggests that our students come from a population where there is no difference between men and women (?1 - ?2 = 0) or whether they come from different populations (e.g., college men/college women). From the given problem we have Means on Four Adjustment Scales for Adolescents from Structured versus Unstructured Homes. Also given their t value From the above information we have the p-value of t using Excel is as follows Social Maturity 106.82 113.94 t= From the above information we have the p-value of t using Excel is as follows Social Maturity 106.82 113.94 t= Social Maturity 106.82 113.94 t= Social Maturity 106.82 113.94 t= Solution Available Information: The t test for independent means is used when we want to know whether there is a difference between populations. For instance, we may want to know if college men and women differ on some psychological characteristic. To assess this, we would need information gathered from a group of men and information gathered from a separate group of women. The means are considered \"independent\" when there is no overlap between groups; a person cannot be male and female at the same time. The t test for independent means is used only for tests of the sample means. Thus, our hypothesis tests whether the average difference between scores (M1 - M2) suggests that our students come from a population where there is no difference between men and women (?1 - ?2 = 0) or whether they come from different populations (e.g., college men/college women). From the given problem we have Means on Four Adjustment Scales for Adolescents from Structured versus Unstructured Homes. Also given their t value From the above information we have the p-value of t using Excel is as follows Social Maturity 106.82 113.94 t= From the above information we have the p-value of t using Excel is as follows Social Maturity 106.82 113.94 t= Social Maturity 106.82 113.94 t= Social Maturity 106.82 113.94 t=.