Two samples of students, one comprised of social science majors and one comprised of students with other majors, completed the Consideration of Future Consequences scale (CFC). The accompanying tables include the output from software for an independent samples t test and a one-way between groups ANOVA on these data. a. Demonstrate that you results of the independent sample t test and the one-way between groups ANOVA are the same. (Hint: find the t statistic for the t test a f statistic for the ANOVA.) b. In statistical software output, "Sig, refers to the actual p level of the statistic We can compare the actual p level to a cutoff p level such as 0.05 to decide whether to reject the null hypothesis. What are the "Sig." levels for the two test here--the independent samples t test and the one way between groups ANOVA? Are they the same or different? Explain why this is the case. c. In the CFC ANOVA, the column titled "mean square " includes the estimate of variance. Show how the F statistic was calculated from two types of variance. (Hint: Look at the far left column to determine which estimate of variance is which). d. Looking at the table titled "Group Statistics", how many participants were in each sample? e. Looking at the table titled "Group Statistics", which is the mean CFC score for the social science majors?