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- One of the following IS NOT a difference between observational and Experimental studies Select one: a. All the above are valid differences b. Observational studies do not implement randomization while experimental studies do. c. Observational studies are used for generalization while experimental studies are used to establish causality d. Observational studies are used on large scale while experimental studies are not. е. Observational studies are not logistically as demanding most of the times as experimental studiesA researcher is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin Valerian Placebo n=6 n=10 n=4 N=20 M=14 M=13 M=9 G=250 T=84 T=130 T=36 ΣX2=3377 SS=60 SS=90 SS=37 a. Using symbols, state the hypotheses for a two-tailed test with α=0.05. b. Locate the critical region. In doing so, determine the degrees of freedom values. c. Calculate the F-ratio.a firm has two investment projects project A : expected profit = $ 670 SD = 175 coefficient of varience = 0.26 project B : expected profit = $700 SD = 370 coefficient of variance = 0.53 a. which project has a lower absolute risk ? b. whick project has a lower relative risk ? C . which project would you advice the firm to choose ?
- Section 6.3: Hypothesis Test of Differences in Proportions Example 4. Autism and Maternal Antidepressant Use A recent study41 compared 298 children with Autism Spectrum Disorder to 1507 randomly selected control children without the disorder. Of the children with autism, 20 of the mothers had used antidepressant drugs during the year before pregnancy or the first trimester of pregnancy. Of the control children, 50 of the mothers had used the drugs. (a) Is there a significant association between prenatal exposure to antidepressant medicine and the risk of autism? Test whether the results are significant at the 5% level. (b) Can we conclude that prenatal exposure to antidepressant medicine increases the risk of autism in the child? Why or why not?QUESTION 7 A social psychologist believes that football players who receive encouraging coaching styles versus players who receive strict coaching styles will be significantly different in the amount of touchdowns they score. He analyzes the seasons of two teams with the respective coaching styles to study this hypothesis. Which of the following hypothesis tests would be most appropriate given this scenario? O single-sample t-test O independent sample t-test O dependent sample t-test z-testТуре Freq. 11.15 A theory says that in a certain population, half the objects are of type A and the remainder are evenly divided among three types, B, C, and D. A random sample from the population breaks down as shown in the table at right. Does the data show 25 13 8. a statistically significant departure from what the theory predicts? Test using a = .05. ABCD
- 6.23 A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. Twins 1 2 3 4 5 6 7 8 Treatment A 48.3 44.6 49.7 40.5 54.3 55.6 45.8 35.4 Treatment B 43.5 43.8 53.7 43.9 54.4 54.7 45.2 34.4 a. Is there significant evidence that the two treatments differ using an a 5 .05 paired t test. b. Is there significant evidence that the two treatments differ using an a 5 .05 sign test. c. Do your conclusions in parts (a) and (b) agree? d. How do your inferences about the two treatments based on the paired t test and based on the sign test differ?Solve both parts 3 and 4 of the question below using a two-sample z test. Show all work and steps.What is the solution to the question?
- Each scenario shows the data used for a randomisation test on a difference in two proportions. Both have a sample size of n = 30, with half being assigned to Treatment A and half to Treatment B. Scenario 1 has a difference in proportions of 0.4. Scenario 2 has a difference in proportions of 0.2. If we ran a randomisation test for each scenario, the one that would result in a smaller tail proportion in the resulting re-randomisation distribution is: Scenario 2 Scenario 1 Data Yes Yes Data Yes Yes 01 4 LO 5 02 7 No 03 No 0.2 11 →No 05 11 0.4 06 0.7 10 67 8 No DO 4 09 B B 10Please don’t use programming to answer the question. Please don’t use codes as an answer for the question.The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 2: Co-op Group 3: Work Study Group 1: Internship 10 10.5 11.25 11 9.25 10.25 9.75 13.25 10.5 12.5 10.5 10.75 Use technology to conduct a one-factor ANOVA to determine if the group means are equal using a = 0.01. Group means (report to 2 decimal places): Group 1: Internship: Group 2: Co-op: Group 3: Work Study: ANOVA summary statistics: F-ratio = (report accurate to 3 decimal places) 12.25 10.5 10.75 11.5 10 10.5 р (report accurate to 4 decimal places) Conclusion: © The sample data suggest the average starting hourly wages are not the same. O There is not sufficient data to conclude the starting wages are different for the different groups.