Find the solution to the IVP.y = cscx – ycotx' y(÷)= 1 ysinx = x+ 2 ysinx = x + 1- I 2 ycscx = x + 1- 2 ycscx = x – 1-
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- A drug company creates a medicine designed to prevent colds, and states that it is equally effective for men and women. To test this claim, they give the medicine to 100 men and 200 women. At the end of the study, 33 men and 95 women caught a cold. Can we say that the drug is equally effective for men and women? (Use α = .01)Please do not give solution in image format thanku One issue is that some patients experience side effects and have to discontinue treatment. It was estimated that 19% of patients receiving lnterleukin-2 plus vaccine developed an arrhythmia (irregular heartbeat) and had to discontinue treatment. Since the side effect was attributable to the vaccine, assume that the patients would continue to take lnterleukin-2 if arrhythmia developed but not the vaccine and that the probability of a positive response to treatment would be the same as group A (i.e., 6%). Suppose we have 10 patients who receive Interleukin- 2 plus vaccine of whom 2 develop arrhythmia and 8 do not. What is the probability that exactly 3 of the 10 patients will get a positive response to treatment?z-test or t-test. show the result of the table in excel. upvote will be given. (YOU MAY USE EXCEL IN SOLVING THE PROBLEM. DO NOT FORGET TO SCREENSHOT THE RESULTS/table.) You just implemented a new Ergonomics Intervention Scheme to shorten the time to make your company’s product ABC. Fifteen of your workers, who used the present method were requested to use the proposed method. From your initial analysis, this proposed method will be faster (in minutes) than the present system. Assume that the data are normally distributed, at the 0.05 alpha, is your initial analysis accurate? a. what is the null and alternative hypothesis. b. what is the p-value? c. reject or accept Ho?
- z-test or t-test. show the result of the table in excel. upvote will be given. (YOU MAY USE EXCEL IN SOLVING THE PROBLEM. DO NOT FORGET TO SCREENSHOT THE RESULTS/table.) You just implemented a new Ergonomics Intervention Scheme to shorten the time to make your company’s product ABC. Fifteen of your workers, who used the present method were requested to use the proposed method. From your initial analysis, this proposed method will be faster (in minutes) than the present system. Assume that the data are normally distributed, at the 0.05 alpha, is your initial analysis accurate?What is H0? And why do we evaluate it instead of the scientific hypothesis?You are concerned that nausea may be a side effect of Tamiflu, but you cannot just give Tamiflu to patients with the flu and say that nausea is a side effect if people become nauseous. However, past research indicates that about 30% of people who get the flu experience nausea, and you believe that the percentage of those who experience nausea while having the flu and taking Tamiflu will be greater than 30%, which would indigate that nausea is a side effect of Tamiflu. If you are going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses? Họ: H1: What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
- Harold is going to California over the Easter weekend and takes part in the Rock Festival of the people. He is an optimistic man and intends to sleep in a tent. He is worried about leaks in the tent, but to his great satisfaction, he came across an advertisement for material that the manufacturers claim reduces leakage in tents by spraying it on the outer layer of the tent. He was not convinced but found a study where the material was examined. In the study, leakage in five tents was measured. First, it was measured how much it leaked without the material too much and then how much it leaked after the material was sprayed on the outer layer in each tent. High numbers mean high leakage and low numbers low leakage. It can be assumed that measured leaks follow a normal distribution. The results can be seen below: Harold is also a big fan of R and he performed the following calculations in R: > x<-c(8.6,9.2,7.8,7.2,8.9) > y<-c(6.2,7.2,7.6,8.2,6.1) > mean(x)[1] 8.34 >…Alex hypothesized that, on average, students study less than the recommended two hours per credit hour each week outside of class. Which of the following is Alex's alternative hypothesis? Choose the correct answer below. O A. H₁: μ=2 hours per week per credit O B. H₁: μ #2 hours per week per credit O C. H₁: μ2 hours per week per creditA researcher is interested in the effects of diazepam on anxiety in rats. She takes a group of 15 female rats and injects them with 0.005 mg of diazepam for every 100 g the rats weigh, and takes a different group of female rats and injects them with saline. She then puts them all on an elevated-plus maze for 15 minutes and observes how long they spend (in seconds) in the enclosed arms versus the open arms. The less time they spend in the enclosed arms means they have less anxiety. She also weighs them before the injection to make sure she gets the dosage correct. a. Identify the population of interest b. Identify the Independent variable. c. Identify the Dependent variable. d. What scale of measurement was used for the independent variable? Explain why you think so. e. Was the independent variable discrete or continuous? Explain why you think so. f. What scale of measurement was used for the dependent variable? Explain why you think so. g. How could you change the dependent measurement…
- Select the two different ways to state that the means of two populations are different.You are working on a magic pill that you think might totally eliminate pain when given to patients who are experiencing severe pain. In your work, you have discovered three ingredients that might be effective if each is used alone. Which drug therapy works best? The dependent measure is the degree of pain relief after 30 minutes of ingestion. A higher value means greater pain relief. Drug 1: 5,7,11,10,10,6,4,8 Drug 2: 13,12,12,8,7,8,12,11 Drug 3: 15,11,13,10,10,16,14,11 Placebo: 10,8,5,9,6,13,11,16 Set up your hypotheses, Report your Hypotheses in narrative and symbolic form. Use a = .01 What is the Dependent Variable? What is the Independent Variable? How many levels exist for the independent variable? Perform the appropriate ANOVA. Present your results in an ANOVA Summary Table Complete the Scheffe' Test if you find a Significant F . Compute the R2 If necessaryThe body needs vitamin D in order to use calcium. An experiment is designed to study the effects of calcium and vitamin D supplements on the bones of first-year college students. The outcome measure is the total body bone mineral content (TBBMC), a measure of bone health. Two doses of calcium will be used: 0 and 300 milligrams per day (mg/day). The doses of vitamin D will be 0 and 150 international units (IU) per day. The calcium and vitamin D will be given in a single tablet. All tablets, including those with no calcium and no vitamin D, will look identical. Subjects for the study will be 30 men and 30 women. There are how many factors? and how many treatments in this design?.