ty' - 2y = t³ sin(2t) — t³ +4t¹; y(¹) = - 3 MIT 4
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Find the solution of the given IVP.
![ty' - 2y = t³ sin(2t) - t³ + 4t²; y(n) =
3
MIT
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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)Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 188 cm and weights of 39 to 150 kg. Let the variable x be the height. The 100 paired measurements yield x=167.08 cm, y=81.32 kg, r=0.254, and y=−109+1.07x. Find the best predicted value of y (weight) given an adult male who is 163 cm tall. Use a 0.05 significance level. The best predicted value of y for an adult male who is 163 cm tall is kg. (Round to two decimal places as needed.)Please don't provide hand writtin solution...
- please don't provide hand writtin solution....A doctor wants to develop a pill to help people with peanut allergies. Her goal is to prevent the dangerous symptoms that occur when a person allergic to peanuts contacts the nuts. She splits her patients into two groups. The first group receives the new pill, and the second group receives a pill with inactive ingredients. Over the course of a couple of months, all patients are tested for desensitization of peanuts. Treatment: Placebo:Healthy Eating Americans appear to be eating healthier. Between 1970 and 2007 the per capita consumption of broccoli increased 1000% from 0.5 to 5.5 pounds. A nutritionist followed a group of people randomly assigned to one of three groups and noted their monthly broccoli intake (in pounds). At α=0.005, is there a difference in means? Group A Group B Group C 1.5 2.2 2.3 1.6 2.3 4.5 1.7 2.4 1.2 1.8 4.1 1.3 1.9 4.5 2.3 2 4.5 2.5 1. State the hypotheses and identify the claim with the correct hypothesis. H0: μ1=μ2=μ3 ▼(CLAIM or NOT CLAIM?) H1: At least one mean is different from the others. ▼(CLAIM or NOT CLAIM?) 2. Find the critical value 3. Compute the test value: F = 4. Reject or do not reject the null hypothesis 5. Summarize: Is there or is there not enough evidence to support claim?Is there or is there not enough evidence to reject the…
- Please don't provide handwritttin solution....In an experimental study, it was noticed that people who eat more leafy, green vegetables tend to get better sleep than the general population. Researchers wonder whether the improved sleep might be caused by the minerals potassium and magnesium found in leafy, green vegetables. How could the researchers design an experiment to determine the effects of potassium and magnesium on sleep?Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 189 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.70 cm, y=81.43 kg, r=0.324, P-value=0.001, and y=−101+1.06x. Find the best predicted value of y (weight) given an adult male who is 151 cm tall. Use a 0.10 significance level. Question content area bottom Part 1 The best predicted value of y for an adult male who is 151 cm tall is enter your response here kg. (Round to two decimal places as needed.)
- please don't provide hand writtin solution...A farmer has a 10-heactare maize farm. The maize is under “Fall Army Worm” attack. The farmer has to urgently control the attack using a chemical called AGENOX 221. Motorized sprayers with tank capacities of 15 litres each are to be used. The recommended concentration of the chemical is 2 ml/L and each full tank will cover ½ hectare. A 50-man team is engaged to control the attack. Using the above information and the assumptions given below: i. What volume of the chemical is required to cover the entire field to control the “Fall Army Worm” attack? ii. If each man covers an area of 25 meters square from one end of the field to the other, how many trips will each of them make to cover the entire field? Assume ach man moves in a straight line. Assumptions: 1. The 10 ha farm is considered to be a perfect square. 2. There is a 2.5 % loss of chemical due to the transfer to the sprayer tank.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 credit
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