Each group should select a dataset, Auto, College or Carseats, and run at least four models, noting does not have a significant F test, or at least not an overwhelmingly significant one. Run ANOVAS of model F tests if there are any. We'll conclude with each group presenting their work to the rest of us.
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- Twelve inmates in a particular prison took part in an anger management class. Before it began, the median score on an anger control assessment of the group was 42 (out of a maximum of 60). After the six month class, the participants scores on the same assessment were 35, 41, 40, 44, 57, 36, 39, 47, 58, 39, 42, 39. 1. Construct a boxplot of the data and explain briefly why a sign test is appropriate to use in this caseA randomly sampled group of patients at a major U.S. regional hospital became part of a nutrition study on dietary habits. Part of the study consisted of a 50-question survey asking about types of foods consumed. Each question was scored on a scale from one (most unhealthy behavior) to five (most healthy behavior). The answers were summed and averaged. The population of interest is the patients at the regional hospital. A prior survey of patients had found the mean score for the population of patients to be μ=2.9 After careful review of these data, the hospital nutritionist decided that patients could benefit from nutrition education. The current survey was implemented after patients were subjected to this education, and it produced the following sample statistics for the 15 patients sampled: x¯=3.5 and s=1.2 We would like to know if the education improved nutrition behavior. We test the hypotheses H0:μ=2.9 versus Ha:μ>2.9. The tt test to be used has the test statistic: Answer:A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 2626 dieters, are chosen for the study. Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day. Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 10.4 pounds with a standard deviation of 2.6 pounds. The members of Group B had lost a mean of 11.7pounds with a standard deviation of 2.8 pounds during the same time period. Assume that the population variances are not the same. Construct a 99% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not. Let Population 1 be the amount of weight lost by Group A, who took a 500-mg supplement of calcium each day, and let Population 2 be…
- A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?A scientist wants to examine factors that may be related to cancer. The scientist believes that differences in age at death that will be found when determining what type of smoker a person was (pipe smoker, cigar smoker, cigarette smoker, or nonsmoker) but he also thinks it is important to consider the extent of smog in the person’s environment. For this new extended study, the people in the sample are divided up into those who lived in areas with heavy smog and those who lived in areas that were relatively free from smog. Smoking habit remains the other independent variable, and the dependent variable remains age at death. The new question of major interest to the scientist is whether the pattern of differences in age at death attributed to smoking habits would be influenced by whether people lived in smog-filled environments. What is the appropriate statistic? a. Dependent groups t-test b. Phi Coefficient c. Point Biserial r d. t-test for r > 0…Empathy: The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathet The following data, representing random samples of 11 males and 11 females, are consistent with results reported in psychological studies. Boxplots show tha it is reasonable to assume that the populations are approximately normal. Can you conclude that the mean empathy score for men is less than the mean empathy score for women? Let μ₁ denote the mean empathy score for males and μ₂ denote the mean empathy score for females. Use the a=0.01 level and the critical value method with the table. 12 16 13 26 21 23 8 15 18 25 15 Males 21 23 15 26 25 28 24 16 19 20 23 Females Part 1 of 6 Send data to Excel State the appropriate null and alternate hypotheses. H₁ | M₁ = μ₂ H₁ :|µ₁ <µ₂ This is a…
- Give me an example of a research scenario where you would use an independent samples t-test. You can set up a situation where there is an experimental group and a control group, or maybe you want to compare two other groups of people (parents and non-parents, gender, partnered and single, etc). Give us a summary of what you would want to study, who your sample participants would be, why an independent samples t-test would be the best fit, and what statistically significant results would mean. Don't forget to include your research and null hypotheses!Your statistics instructor often ponders the relationship between commute time and job satisfaction while driving back and forth to campus. Your instructor hypothesizes that people with a shorter commute time will have higher degrees of job satisfaction. Randomly sampling 600 Valley commuters, the instructor finds the following data listed in frequencies: Table 2: Commuters by Length of Commute and Job Satisfaction Job Satisfaction Number Who Commute 20 Minutes or Less Number Who Commute 21 to 40 Minutes Number Who Commute 41 Minutes or More Total Number for Each Level of Job Satisfaction Dissatisfied 10 60 140 210 Neutral 45 59 51 155 Satisfied 145 60 30 235 Total Number for Each Commute Time Range 200 179 221 1. Change frequencies to column percentages.The accompanying table gives amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different states? Given that the amounts of arsenic in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest health problem? Click the icon to view the data. What are the hypotheses for this test? O A. Ho: At least one of the means is different from the others H₁ H₁ H₂ H3 OB. Ho: H₁ H₂=H3 H₁: At least one of the means is different from the others OC. Ho: H₁ H₂=H3 H₁: H₁ H₂ #H3 O D. Ho: M₁ #₂ #H3 H₁: H₁ H₂=H3 Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. The P-value…
- Twenty samples of students from the first year were taken for the study related to fitness level in a university. The researcher has collected the data for a few variables: gender and fitness test score. Fitness Camp No Gender Fitness score Fitness score (Before Attend camp) (After Attend camp) 1 M 444 526 2 F 780 862 3 F 475 557 4 F 490 572 5 M 755 837 6. M 766 848 7 F 540 622 8 M 623 705 9. F 600 682 10 620 702 11 505 590 12 M 640 725 13 F 523 608 14 F 700 785 15 M 710 795 16 M 726 811 17 M 740 825 18 F 550 635 19 F 685 770 20 F 460 545 Range of Fitness Score: 0 to 900 1. Determine whether this set of data is sample or population? Why? Which formulae to be used when calculating the standard deviation of fitness score before and after camp 2. Calculate the standard deviation for fitness score before and after students attended the fitness camp for the whole samples using the formula in (1) 3. Based on the sample standard deviation in part (2), explain whether the fitness camp can…You are a public health researcher. You want to see if the average age that a person starts smoking has changed over time. Smokers are recruited to answer a survey that asked at what age they started smoking. You divided participants into two groups, one is participants under the age of 30 and the second for participants over the age of 30. The average age for the two groups were compared. Which statistical test would be best to determine if there is a significant different in starting age between the two groups. one-sample t-test related samples t-test independent samples t-test ANOVAA study was done to determine if food insecurity/hunger impacts psychological distress (this is fake data to make it simple, but it is based off of a 2020 study that examined the associations between food insecurity and psychological distress among older people in Ghana). Participants were broken into three groups based on their responses: no food insecurity, moderate food insecurity, and severe food insecurity. Psychological distress was measured on the Kessler Psychological Distress Scale (K10), where scores range from 0 to 50. Enter data and test to determine if there is a significant difference between the 3 groups in psychological distress Food insecurity: Psychological distress scores (higher = more distress) No food insecurity 5 6 8 10 5 4 14 9 Moderate food insecurity 16 14 9 7 14 8 16 17 Severe food insecurity…