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- Part 1 of 4 A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. She divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 26 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 77.8, 229.4, 199.9, 110.1, 180.2, 116.1, 139.7, 171.1, 37.4, 158.1, 88.4, 195.5, 246.1, 142.4, 178.1, 105.5, 179.6, 146.1, 78.8, 123.7 Group B: 124.5, 130.1, 136, 162.8, 113.4, 72.8, 142.6, 50.3, 179.8, 197, 230, 194.3, 171, 109.3, 114.4, 107.5, 114.7, 195.3, 127.7, 126.4, 85.6, 166.7, 182.3, 113.5, 216.7, 162.8 Perform a hypothesis test using a 6% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative hypotheses. Ho: Ha:…Fill in the Blank Question 3 If one or more of the relevant predictor variables are excluded, then the resulting OLS estimators are biased. The extent of the bias depends on the degree of the between the included and the excluded predictor variables.In case of hypothesis testing in places where population variances are unknown and sample size is large (nl and n22 30), sample variances can be a good approximation of population variances. Which best describe this statement? Select one: O a. None of the choices O b. The statement is true c. The statement is false O d. Not enough data to support the statement O e. The statement is neither true nor false
- 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?read the following: An observational study differs from an experiment in that the random assign ment of treatments (i.e. agents, programs, procedures) to units is absent. As has been pointed out by many writers since Fisher (1925), this randomization is a powerful tool in that many systematic sources of bias are made random. If randomization is absent, it is virtually impossible in many practical circumstances to be convinced that the estimates of the effects of treatments are in fact unbiased. This follows because other variables that affect the dependent variable besides the treatment may be differently distributed across treatment groups, and thus any estimate of the treatment is confounded by these extraneous variables. can you rewrite it in a way i can understand, so simply the paragraphSame question. 4.1-13
- Question 3 7 pts An investigator wishes to test the hypothesis that "blondes have more fun." To investigate, he develops the Subjective Report of Fun Scale (high scores indicate more fun), selects 13 brunettes at random and administers the SRFS to them. He then bleaches all 13 subjects' hair blonde, waits two weeks, and administers the SRFS again. Data are below. Do blondes have more fun? Brunettes Blondes 70 47 57 61 65 57 58 58 62 56 52 60 51 50 56 63 73 51 65 60 63 64 66 61 83 71 State the null and alternative hypotheses. (1) Ho: Ha: b) Specify the degrees of freedom. (1) df = c) Calculate the test statistic (3) What type of t-test is this? What was your obtained value of t? d) Given that tcrit for a=.05 is 1.782, what should the researcher conclude? State your conclusions statistically and in terms of the research question. (2) Statistical statement Conclusion in words ThinkCentre No new data to cove Last checked3. An experiment is studied to see whether the travelling time depends either on the routes (Factor A) or the days of the week (Factor B) and the travelling time was recorded and given below. Route (A) 1 2 3 4 1 22 25 26 26 Days of the week (B) 2 3 4 5 26 25 25 31 27 28 26 29 29 33 30 33 28 27 30 30 The two-factor random effects ANOVA model is given by Xij = μ + ai + Bj + € ij where μ is the true grand mean, a; is the effect of factor A at level i and ß, is the effect of factor B at level j. (a) State the assumptions required for the ANOVA model. (b) Create an interaction plot and comment on it. (c) Fit the model using R/Minitab and construct the ANOVA table. (d) State and test hypotheses appropriate for deciding whether routes has any effect on travelling time with a = - 5%. (e) State and test hypotheses appropriate for deciding whether days of the week has any effect on travelling time with a = 5%.The number of points held by random samples of the NHL's highest scorers of both the Eastern Conference and the Western Conference is shown. At the 0.05 level of significance, can it be concluded that there is a difference in means based on theses data: Eastern Conference Western Conference 83 60 75 58 77 59 72 58 78 59 70 58 37 57 66 55 62 61 59 61 What is the appropriate null hypothesis for this problem? (u= population mean for this problem) What is the critical Value? What is the test statistics? What is the decision?
- A researcher randomly assigns college freshmen to either of two experimental conditions. Because both groups consist of college freshmen, someone claims that it is appropriate to use a t test for the two related samples. Comments?▾ Part 1 of 4 A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. She divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 26 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 77.8, 229.4, 199.9, 110.1, 180.2, 116.1, 139.7, 171.1, 37.4, 158.1, 88.4, 195.5, 246.1, 142.4, 178.1, 105.5, 179.6, 146.1, 78.8, 123.7 Group B: 124.5, 130.1, 136, 162.8, 113.4, 72.8, 142.6, 50.3, 179.8, 197, 230, 194.3, 171, 109.3, 114.4, 107.5, 114.7, 195.3, 127.7, 126.4, 85.6, 166.7, 182.3, 113.5, 216.7, 162.8 Perform a hypothesis test using a 6% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative hypotheses. Ho:…