# Statistics Hw.

In a one-way between-subject ANOVA, when calculating the sum of squared total deviations with 3 groups and 10 participants in each group, the df for the SST is _____. a. 9 b. 10 c. 27 d. 29 2. In one-way ANOVA, the SSB is calculated as _______. a. SSB = ∑nj(ij – )2 b. SSB = ∑(- )2 c. SSB = ∑nj(j – )2 d. SSB = ∑nj( -j)2 3. Researchers study the effect of distracted driving on driving behavior. Driving behavior is measured by the number of mistakes recorded on a simulator. There are 36 participants who are randomly assigned to one of the three groups: driving while eating, driving while texting, and normal driving without distraction. Each group has 12 participants and the group means are 22, 25, and 16, respectively, and SST = 2016. What is the MSW based on the information provided here? a. 43.2 b. 45.818 c. 252 d. 1512 4. In calculating ANOVA, when n1 = 5, n2 = 6, and n3 = 7 and 1 = 1.2, 2 = 2.5, 3 = 2.7, ______. a. 1.96 b. 2.10 c. 2.22 d. 2.53 5. Given 1 = 1.2, 2 = 2.5, 3 = 2.7 and n1 = n2 = n3 = 8 calculate SSB a. 10.61 b. 12.55 c. 13.27 d. 15.38 6. Researchers study the effect of distracted driving on driving behavior. Driving behavior is measured by the number of mistakes recorded on a simulator. There are 36 participants who are randomly assigned to one of the three groups: driving while eating, driving while texting, and normal driving without distraction. Each group has 12 participants and the group means are 22, 25, and 16, respectively and SST = 2016. What is the calculated F for the one-way ANOVA based on the information provided here? a. 4.37 b. 5.50 c. 6.78 d. 9.11 7. The sum of squares within groups is largely attributable to attributes ______. a. related to the independent variable b. that are controllable by researchers c. that are out of the control of researchers d. based upon variation between groups 8. The sum of squares within groups is calculated by ______. a. SSW = ∑∑(Xij – j)2 b. SSW = ∑∑(Xij – j)3 c. SSW = ∑∑nj(X – j)2 d. SSW = ∑∑(Xij – )2 9. Researchers study the effect of distracted driving on driving behavior. Driving behavior is measured by the number of mistakes recorded on a simulator. There are 36 participants who are randomly assigned to one of the three groups: driving while eating, driving while texting, and normal driving without distraction. Each group has 12 participants and the group means are 22, 25, and 16, respectively, and SST = 2016. What are the df for the SSB (sum of squares between groups) based on the information provided here? a. 1 b. 2 c. 3 d. 4 10. In a one-way ANOVA, SST = 502, and 1 = 26, 2 = 24, 3 = 28, and n1 = n2 = n3 = 10, calculate the SSW. a. 450 b. 422 c. 305 d. 204 11. Researchers study the effect of distracted driving on driving behavior. Driving behavior is measured by the number of mistakes recorded on a simulator. There are 36 participants who are randomly assigned to one of the three groups: driving while eating, driving while texting, and normal driving without distraction. Each group has 12 participants and the group means are 22, 25, and 16, respectively, and SST = 2016. What is the rejection zone for the one-way ANOVA based on the information provided here? a. F > 4.17 b. F > 4.08 c. F > 3.32 d. F > 3.23 12. The alternative hypothesis of an ANOVA states that ______. a. one group mean is not equal to the others b. all group means are equal c. none of the group means are equal d. not all group means are equal 13. There are 30 participants who are randomly assigned to one of the three groups: driving while eating, driving while texting, and normal driving without distraction. Each group has 10 participants and the ANOVA summary table is shown below. Source SS Df MS F Between groups 410 dfB = 2 MSB = 205 4.486 Within groups 1234 dfW = 27 MSW = 45.70 Total 1644 dfT = 29 What is the effect size for the distracted driving conditions on driving behavior? a. 4.486 b. 2.243 c. 0.892 d. 0.249 14. Many people lose their jobs during economic downturns. Assume that an Industrial and Organizational psychologist is studying the level of psychological stress of job seekers. One of the independent variables is age. Age is classified into three levels: younger than 40, 40–55, and older than 55. The descriptive statistics of psychological stress scores for all three groups are reported in table below. Higher numbers mean higher reported psychological stress. Descriptive statistics of psychological stress scores for all three groups: Age N s Younger than 40 20 41.3 5.34 40–55 20 43.7 5.97 Older than 55 20 48.8 6.15 60 44.6 SST = 2524.4 What is the SSB for the psychological stress among job seekers? a. 586.8 b. 602.4 c. 1922 d. 1937.6 15. The chi-square results are stable as long as there are no more than ____________ of the cells in a Chi-square test with an expected frequency less than 5. a. 5% b. 10% c. 15% d. 20% 16. The degrees of freedom for the Chi-square goodness-of-fit test are a. (c-1), where c is the number of columns or categories. b. (r-1)(c-1), where r is the number of rows and c is the number of columns. c. n-2, where n is the sample size. d. n-1, where n is the sample size. 17. A small and insignificant χ2 for an independence test means that a. two variables are moving in the same direction. b. we can use variable X to predict variable Y. c. two variables have similar means. d. two variables are independent. 18. A medical device company went through a sales workforce reduction. The company laid off 25 female sales representatives. There were 67 female sales reps before the layoffs, the company laid off 30 sales reps and there were a total of 100 people in the sales positions. What is the expected number of female sales reps who were laid off? a. 7.5 b. 16.8 c. 20.1 d. 42 19. For a chi-square test with α = .05 and df = 2, the rejection zone is ____. a. χ2 > 3.841 b. χ2 > 5.991 c. χ2 < 3.841 d. χ2 < 5.991 Assume that you suspect that a die has been tampered with. You throw the die 42 times and record the number of times each value on the die occurs in the following table. Conduct a hypothesis test to see if this die is a fair die, assume α = .10. Show the 4-step hypothesis test procedure in the answer. X 1 2 3 4 5 6 O 10 5 8 6 4 9

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