![both 3 and 12 months before participation in the study.
Body image scores (0–100 scale) were significantly (F(1, 37) =
5.41, p =.03) higher for women
(73.1 ± 17.0) than men (60.2 ± 17.0). Although HIV-positive
participants had slightly higher body image scores (M = 68.0,
SD = 17.0) compared with participants with AIDS (M = 60.5,
SD = 18.8), there was no significant difference (F(1, 37) = 1.56,
p =.22) in body image scores between [those with HIV and
AIDS]. There was a weak, but significant, inverse association
between body image score and weight changes from 3 months
prior (r = −.30, p =.04). Body image and weight scores are
summarized in Table 1” (Corless et al., 2004, p. 294).
Table 1 Body Image and weight measures for men and
women.TTABLE 1 ■ Body Image sures for Men and Women
GENDER
male
male
female
female
mean
SD
mean
SD
Body image
60.22
16.98
73.07
16.93](https://image.slidesharecdn.com/statshomeworkchapter12pleaseshowallwork-221121183632-7145e034/85/Stats-HomeworkChapter-12Please-show-all-work-With-each-p-docx-8-320.jpg)
Stats HomeworkChapter 12Please show all work. With each p.docx
- 1. Stats Homework Chapter 12 Please show all work. With each problem please do the correct Measure of Association (M of A) and the PRE that goes with the problem. Then tell me what you found. 1. The tables below report relationships between several variables and victimization of individuals. Compute the MofA for each and PRE.Please report what you found as to which groups experienced more victimization? Sex Victimized? Male Females Totals X2 = 4.31 Yes 10 21 31
- 2. No 31720 Totals 13 38 51 Age Victimized? 21 & below 22 & above Totals X2 = 5.73 Yes 32 21 53 No
- 4. No 31922 Totals 24 37 61 2. A sociologist is researching public attitudes toward crime and is asking residents of his city if they think that the crime rate in their neighborhoods is rising. Is there a relationship between sex and the issue of crime rates, and is there one between race and the issue of crime rates? Compute the correct MofA and PRE. Sex Crime Rate Male Female Totals X2 = 7.46
- 7. Falling 17040210 Totals 600 400 1000 Relevant Study Results “The sample consisted of 23 men with a mean age of 42.2 years (SD = 8.2), length of time since diagnosis with HIV was 9.2 years (SD = 5.3); and 17 women with a mean age of 36.8 years (SD = 5.2), and length of time since diagnosis with HIV was 7.2 years (SD = 4.8). For men, 23 were HIV-positive and 9 had a diagnosis of AIDS; and for women, 17 were HIV positive, and 5 had a diagnosis of AIDS. There was no significant difference in demographic characteristics of the sample by age, gender, HIV disease status, and time living with HIV. Participants reported a net increase in weight from 3 months prior (M = 2.4 lb, SD = 12.9 lb) and 12 months prior (M = 10.9 lb, SD = 19.1 lb) and that their weight was greater than their ideal weight (M = 9.2 lb, SD = 22.9 lb). SDs for the data indicated a wide range on weight at
- 8. both 3 and 12 months before participation in the study. Body image scores (0–100 scale) were significantly (F(1, 37) = 5.41, p =.03) higher for women (73.1 ± 17.0) than men (60.2 ± 17.0). Although HIV-positive participants had slightly higher body image scores (M = 68.0, SD = 17.0) compared with participants with AIDS (M = 60.5, SD = 18.8), there was no significant difference (F(1, 37) = 1.56, p =.22) in body image scores between [those with HIV and AIDS]. There was a weak, but significant, inverse association between body image score and weight changes from 3 months prior (r = −.30, p =.04). Body image and weight scores are summarized in Table 1” (Corless et al., 2004, p. 294). Table 1 Body Image and weight measures for men and women.TTABLE 1 ■ Body Image sures for Men and Women GENDER male male female female mean SD mean SD Body image 60.22 16.98 73.07 16.93
- 9. Weight change last 12 months 10.26 22.40 11.94 13.63 Weight change last 3 months 3.05 15.87 1.47 7.32 Weight relative to ideal 5.48 22.93 14.44 22.57 Body weight ratio 53.66 33.97 67.56 34.44 “A summary of quality-of-life scores for men and women is shown in Table 2. The scales of the MOS-HIV Quality of Life instrument include General Health Perceptions, Physical Functioning, Role Functioning, Social Functioning, Cognitive Functioning, Pain, Mental Health, Vitality, Health Distress, Quality of Life, and Heath Transition. There were no significant differences between quality of life scores between men and women. Men did have lower scores on some MOS-HIV scales (Cognitive Functioning, Pain, Quality of Life, and Health Transition) and women were lower on others (Vitality and Health Distress). In addition, there were a number
- 10. of differences in the relationships between quality of life scores, body image, and body weight. . . . The positive correlations indicated that improved quality of life was associated with improved body image” (Corless et al., 2004, pp. 294–5). Table 2 Mean MOS-HIV scores for men and women. Gender Male Male women women Mean SD Mean SD General health perceptions 37.38 30.52 39.71 25.46 Physical functioning 64.13 25.55 65.20 29.79 Role functioning 50.00 46.29 50.00 46.77
- 11. Social functioning 65.45 29.72 64.71 26.95 Cognitive functioning 58.86 30.94 66.18 26.55 Pain 52.53 30.90 64.71 28.12 Mental Health 57.09 23.72 61.50 22.81 Vitality 48.86 23.35 43.24 21.93 Health distress 58.48 30.80 51.18 24.53 Quality of life 53.26 26.44 61.76 21.86 Health transition
- 12. 56.52 24.09 66.18 24.91 Total MOS-HIV score 56.89 20.44 58.06 17.56 1. Assuming that the distribution is normal for weight relative to the ideal and 99% of the male participants scored between (– 53.68, 64.64), where did 95% of the values for weight relative to the ideal lie? Round your answer to two decimal places. 2. Which of the following values from Table 1 tells us about variability of the scores in a distribution? a. 60.22 b. 11.94 c. 22.57 d. 53.66 3. Assuming that the distribution for General Health Perceptions is normal, 95% of the females’ scores around the mean were between what values? Round your answer to two decimal places. 4. Assuming that the distribution of scores for Pain is normal, 95% of the men’s scores around the mean were between what two values? Round your answer to two decimal places.
- 13. 5. Were the body image scores significantly different for women versus men? Provide a rationale for your answer. 6. Assuming that the distribution of Mental Health scores for men is normal, where are 99% of the men’s mental health scores around the mean in this distribution? Round your answer to two decimal places. 7. Assuming that the distribution of scores for Physical Functioning in women is normal, where are 99% of the women’s scores around the mean in this distribution? Round your answer to two decimal places. 8. Assuming that the distribution of scores is normal, 99% of HIV-positive body image scores around the mean were between what two values? Round your answer to two decimal places. 9. Assuming that the distribution of scores for Role Functioning is normal, 99% of the men’s scores around the mean were between what values? Round your answer to two decimal places. 10. What are some of the limitations of this study that decrease the potential for generalizing the findings to the target population? Problem 11073223226161011201961735671034322513963223226161120 19617356103432251396 Name: Date: Hypothesis Testing Answer each question completely to recieve full credit 1. There is a new drug that is used to treat leukemia. The
- 14. following data represents the remission time in weeks for a random sample of 21 patients using the drug. State the Null Hypothesis and the Alternate Hypothesis State the Level of significance State the Test Statistic Perform Calculations Statistical and experimentalConclusion Let X be a random variable representing the remission time in weeks for all patients using the new drug. Assume that the distribution of x is normal. A previously used drug treatment has a mean remission time of 12.5 weeks. Does the data indicate that the mean remission time using the new drug is different from 12.5 week at a level of significance of 0.01? Problem 2MenWomen202937284620232820422345211915452016283227 38204530412234272838212942202116302728423037433940391 6324416152116262017413916 Hypothesis Testing Answer each question completely to recieve full credit. 2. We wish to test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women. Use the data to the right to test this claim. State the Null Hypothesis Perform Calculations Statistical Conclusion Experimental Conclusion
- 15. Unit 6 Evaluating Decisions A school district has developed a teaching proficiency scale based on: (a) improvements in student achievement, (b) rating by peers and (c) ratings by administrators. The district data indicates that teachers who, at the end of their 3rd year, attain ratings of 3 or higher on the teaching proficiency scale are likely to have fewer discipline problems with students, to interact well with students’ parent and are less likely to suffer from teacher-burn-out. The state department of education requires all applicants for a teaching certification to take a nationally normed teacher certification examination. Figure 1 is a scatter plot (shown below) that shows the relationship between the teacher certification test and the 3rd year teaching proficiency scale for the last 30 teachers hired by the district. Table 1 shows the data from this group of teachers. The correlation between the teacher certification examination and the teacher proficiency scale is 0.523. Figure 1 Table 1 Applicant Gender Certification Test Teacher Proficiency Scale Male 30 1
- 18. Female 82 3 Female 85 4 Male 87 5 Female 90 5 Female 95 3 1. If a successful third year teacher is one who has a teaching proficiency of 3 or higher, what is the base rate of the teachers who are shown in Table 1 and Figure 1? (1 points) 2. The district expects to hire 20 new teachers in the coming year. The district has 40 applicants for the new positions. If the district administration uses the teaching certification examination to make their selection decision where should the cut-off be set? Assume that the performance of the new applicants will similar to the applicants shown in the 30 teachers represented in Table 1 and Figure 1. Explain your answer. (5 points) (Hint you need to calculate the new selection ratio to find the cut-off) 3. Given your recommended cut-off, what would be the expected hit rate (i.e. valid accepts) for successful new hires? (Assume success is achieving a 3 or high on the teaching proficiency scale in three years. (2 points)
- 19. 4. What are the probabilities associated with all of the possible outcomes of using the state’s teacher certification test to make selection decisions. (Hint: draw a decision tree) (5 points) 5. Assign a relative outcome value to each outcome, +1 for outcomes that you believe are most valuable, -1 for outcomes that you believe are most costly, and 0 for outcomes that are neither valuable nor costly. Calculate the value of the decision strategy, and compare the value to hiring 20 teachers selected randomly from the applicant pool. (5 points) 6. What would the expected hit rate be if the district needed to hire 16 new teachers instead of 20? (2 points) 7. The school district is concerned that there may be gender bias in the decision making process. The correlation coefficient for male applicants is 0.493, and the correlation for the female applicants is 0.429. Calculate the regression formula for male and female applicants. Is there a test bias? If yes, discuss the nature of the bias and discuss how it is likely to affect the quality of decision-making processes? (10 points)