# Statistics and Probability Question

3.A researcher wonders if students will spend more time studying for a quiz if they are told that a high mark on that quiz will excuse them from writing a term paper. Two groups of college students were randomly selected from a large lecture course in art history. The students in Group 1 were simply told that they would have their first art-history quiz two days later. In Group 2, they were told the same thing, except that the promise of “no term paper” for high quiz performance was added. Just before taking the quiz, all students in both groups reported (in hours) the time they had spent preparing. In Group 1, the times were 6, 4, 7, 3, 2, 5, 7, 4, 7, 6. In Group 2 the times were 12, 9, 13, 10, 8, 7, 9, 6, 9, 6.
4. What is the IV?
5. What is the DV?
6. Calculate the means for each group
7. Calculate the standard deviations for each group
8. Calculate the standard errors of the means for each group
9. Calculate the SED for both groups combined
10. Calculate the independent t ratio 11. Is this a one-tail or two-tail hypothesis?
12. Do you reject or accept the null hypothesis?
13. Is the effect size small, medium, strong, or insignificant?
14. Are the two groups homoscedastic? 15. Based on your answer to #
15, what does that mean with regard to the two samples in problem # 4?
16. What test of significance is used to determine equality of variances between the two groups?
17. Write a sentence interpreting the outcome of the analysis.