HW-12 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Chi-square is used to test differences between _________. a. proportions c. variances b. means d. none of these ____ 2. The sampling distribution of chi-square is _________. a. skewed b. varies with df c. is a theoretical distribution d. all of these e. skewed and varies with df ____ 3. When evaluating 2obt, the critical region for rejection of H0 _________. a. lies under both tails of the distribution b. lies under the right hand tail of the distribution c. lies under the left hand tail of the distribution d. lies in the middle of the distribution ____ 4. A contingency table _________. a. is a two-way table b. involves two variables c. involves two mutually exclusive variables d. all of these e. is a two-way table and involves two variables ____ 5. If N = 18 and = 0.052 tailed, the value of Tcrit is _________. a. 40 c. 40 b. 40 d. 47 ____ 6. A study is conducted to determine whether sunshine affects depression. Eight individuals are given a questionnaire measuring depression immediately following a run of 10 consecutive days when the sun shone for over 80% of the daylight hours. The same individuals have their depression measured immediately following 10 consecutive days without any sunshine. The following data are collected. The higher the score the greater the depression. Individuals Sunshine No sunshine Using the Wilcoxon signed ranks test to evaluate the data, the value of Tobt is _________. a. 3 c. 33 b. 3 d. 4 ____ 7. The Mann-Whitney U test can be used with _________. a. nominal data b. interval data c. ordinal data d. ratio data e. all of these f. interval data, ordinal data and ratio data ____ 8. A Mann-Whitney U value of zero indicates _________. a. you can reject the null hypothesis b. low degree of separation between the scores of each group c. zero difference between the two groups d. high degree of separation between the scores of each group ____ 9. If n1 = 6, n2 = 8 and = 0.052 tail, Ucrit value is _________. a. 8 c. 6 b. 40 d. 42 ____ 10. A student at a Midwest college is interested in whether Psychology majors spend more or less time studying than English majors. She randomly selects 8 Psychology majors and 8 English majors and determines their weekly studying time. The following are the scores. Note one person dropped out of the study. Psychology Majors English Majors a. b. c. d. An analysis is being conducted using the Mann-Whitney U test. Using = 0.052 tail, what do you conclude? reject H0; there is a significant difference in the amount of time Psychology and English majors study reject H0; there is no difference in the amount of time Psychology and English majors study accept H0; there is no difference in the amount of time Psychology and English majors study retain H0; there is no difference in the amount of time Psychology and English majors study ____ 11. A researcher conducts a one-way ANOVA involving three groups. When she analyzes the data she realizes the data seriously violate the assumptions underlying parametric ANOVA. Therefore, she decides to use the Kruskal-Wallis test to conclude with regard to H0. The data are given below. (1) 6 10 12 16 14 7 Hobt = _________. a. 4.25 b. 5.43 (2) 8 12 9 15 17 11 (3) 12 13 20 18 22 15 c. 2.68 d. 6.86 ____ 12. If an experiment using frequency data tested the preference for 6 brands of soup, there would be _________ degrees of freedom. a. 1 c. 5 b. N 1 d. 6 ____ 13. The value of fe for the cell in row W, column A is _________. a. 24.9 b. 3.2 c. 16.0 d. 63.0 ____ 14. For the following table there is(are) _________ degrees of freedom. a. k 1 b. 1 c. 2 d. 4 ____ 15. For the following table there is(are) _________ degrees of freedom. The value of 2obt for the table is _________. a. 47.43 c. 4.07 b. 17.96 d. 9.71 ____ 16. The value of Tobt for the following data is _________. a. 21 b. 6 c. 15 d. 6 ____ 17. The statistics used for the Mann-Whitney U test measure _________. a. the mean differences between the two groups b. the direction of the differences between pairs of scores c. the power of the experiment d. the separation between the two sets of scores ____ 18. Consider the following set of scores: 81, 83, 84, 84, 87. What rank would you give to a score of 84? a. 3 b. 3.5 c. 4 d. 4.5 ____ 19. To answer this question, refer to the following data. Assume the data are being analyzed with the Mann-Whitney U test. The value of Ucrit using = 0.052 tail is _________. a. 36 c. 6 b. 5 d. 30 ____ 20. To answer this question, refer to the following data. Assume the data are being analyzed with the Mann-Whitney U test. The conclusion using = 0.052 tail is _________. a. reject H0 c. retain H0 b. reject H1 d. retain H1