Find the measure of the acute or right angle formed by intersecting lines so that C can be mapped to C using two reflections. A rotation of 24° maps C to C'. The measure of the angle is. Previous 10 11 12 13 Next
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- A test of body reaction to the Malaysian citizens who have taken their vaccine was conducted. Selected citizens who got side effect are categorised according to their blood type and the type of vaccine received. From a sample of 250 citizens, 150 of them were administered with Sinovac while the rest received AstraZeneca. Table 4 shows the number of citizens who had side effect after being vaccinated. Type of vaccine Blood type A B AB O Sinovac 50 M 50 20 AstraZeneca 30 20 20 N Does different blood type among people who had side effect relate to the type of vaccinereceived at A=0.025?Type of Worker Professional Personal BothTechnical 34 47 41Other 47 22 31 What are the degrees of freedom Find the critical value What is the rejection region Should I reject or fail to reject the null hypothesis. Can I conclude if the reason and type of worker are dependentAn educator claims that the average salary of substitute teachers in the school districts in his county is less than $90 per day. A random sample of 8 schools districts is selected and the daily salaries are shown below. What is the critical value(s) for this hypothesis test? $90 $86 $90 $85 $100 $85 $90 $85 An educator claims that the average salary of substitute teachers in the school districts in his county is less than $90 per day. A random sample of 8 schools districts is selected and the daily salaries are shown below. What is the critical value(s) for this hypothesis test? $90 $86 $90 $85 $100 $85 $90 $85 -1.895 -1.860 -2.365 -1.645 -1.96
- In a study with a non-directional hypothesis… A) There are two rejection regions that have the same area that adds up to the alpha level. B) There is a single rejection region with an area that corresponds to the alpha level. C) There are two rejection regions that have the same area that adds up to the p-value. D) There is a single rejection region with an area that corresponds to the p-value.A company manufacturing computer chips finds that 5% of all chips manufactured are defective. Management is concerned that employee inattention is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to offer incentives to employees who have lower defect rates on their shifts. The incentive program is instituted for one month. If successful, the company will continue with the incentive program. a. Write the company's null and alternative hypotheses. Make sure to include the correct parameter, sign and number.Ho: H1: b. In this context describe a Type I error and the impact such an error would have on the company. Management thinks the incentive program was effective, when in fact it did not lower the defective rate from 5%. Management thinks the incentive program did not work, when in fact it did lower the defective rate from 5%. c. In this context describe a Type II error and the impact such an error…In immune.xlsx, some individuals received a treatment of carotenoids (CAROT) and some received no treatment (NO). Carotenoids belong to a class of molecules called isoprenoids, many of them are antioxidants and some of them are vitamins such as vitamin A and its precursor beta-carotene, which is found in carrots. Because of the antioxidant properties of carotenoids the purpose of the study was to check if they have any effect on immunity. The column PHA gives quantitative measuremenst of cell-mediated immunity and the column SRBC gives quantitative measurements of humoral immunity. This is clearly a two-sample (non-paired) design. Therefore, you need to perform a Mann-Whitney-U test to check for differences. Bear in minds that rank assignments in Excel can be quite tricky and, therefore, if you need to do a Mann-Whitney rank assignment it is probably best to do this by hand. 1) What is the rank sum of the PHA data of the individuals, which received carotenoids and what is the…
- In immune.xlsx, some individuals received a treatment of carotenoids (CAROT) and some received no treatment (NO). Carotenoids belong to a class of molecules called isoprenoids, many of them are antioxidants and some of them are vitamins such as vitamin A and its precursor beta-carotene, which is found in carrots. Because of the antioxidant properties of carotenoids the purpose of the study was to check if they have any effect on immunity. The column PHA gives quantitative measuremenst of cell-mediated immunity and the column SRBC gives quantitative measurements of humoral immunity. This is clearly a two-sample (non-paired) design. Therefore, you need to perform a Mann-Whitney-U test to check for differences. Bear in minds that rank assignments in Excel can be quite tricky and, therefore, if you need to do a Mann-Whitney rank assignment it is probably best to do this by hand. 1) What is the rank sum of the SRBC data of the individuals, which received carotenoids and rank sum of…Dr. Dommer is interested in testing whether the gender breakdown in his introductory biology class isrepresentative of the gender breakdown of the college population. There are 20 females and 25 males in his class. If the college population is 60 percent female, what should Dr. Dommer conclude about the representativeness of his class? Complete the 6 steps of hypothesis testing. Show your work for each step. Report your results and conclusion in APA style. Assume that alpha is set at .05.A company manufacturing computer chips finds that 9% of all chips manufactured are defective. Management is concerned that employee inattention is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to offer incentives to employees who have lower defect rates on their shifts. The incentive program is instituted for one month. If successful, the company will continue with the incentive program. a. Write the company's null and alternative hypotheses. Make sure to include the correct parameter, sign and number.Ho: H1: b. In this context describe a Type I error and the impact such an error would have on the company. Management thinks the incentive program was effective, when in fact it did not lower the defective rate from 9%. Management thinks the incentive program did not work, when in fact it did lower the defective rate from 9%. c. In this context describe a Type II error and the impact such an error…
- A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney Utest at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 3 3 5 New Drug 0 0 1 2 4 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug A) We fail to reject H0, which…PCBs and Pelicans. Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979 and by the Stockholm Convention on Persistent Organic Pollutants in 2001. One study, published in 1972 by R. Risebrough, is titled “Effects of Environmental Pollutants Upon Animals Other Than Man” (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, pp. 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). The data are on the WeissStats site. a. obtain and interpret the standard error of the estimate. b. obtain a residual plot and a normal probability plot of the residuals. c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two…Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student intervention group BMI (kg/m2) Student control group BMI (kg/m2) A 18.6 A 21.6 B 18.2 B 18.9 C 19.5 C 19.4 D 18.9 D 22.6 E 24.1 F 23.6 A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.