ty' - 2y = t³ sin(2t) — t³ +4t¹; y(¹) = - 3 MIT 4
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- A guidance counselor wishes to determine if the proportion of high school girls in his school district who have jobs are equal to the national average. He surveys 80 female students, ages 16 through 18, to determine if they work or not. The results are shown: 16-year-olds 17-year-olds 18-year-olds Work 45 31 38 Don’t work 35 49 42 With α = 0.01, can the researcher claim that the proportions of the girls who work are equal? * No Excel sheet solutions please!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.)I need the Solution to Question 4. 4) Mungo’s management team is convinced that the product will be a success if 30% or more ofthe product’s target population indicate they are likely to purchase the product. Based uponyour answer in Task 3, how would you advise management regarding the potential for theproduct to be successful?
- 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: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 >…An oil company is considering introducing an additive into its gasoline, hoping to increase the average mileage per liter.. The engineers at the oil company's group are considering introducing an additive into their gasoline, hoping to increase the average mileage per liter. The research group's engineers tested engineers tested 32 cars with regular gasoline and another 39 cars with gasoline containing the additive. With the additive. From previous studies it is estimated that: Mileage per liter without additive: μ = 14.2 km, s = 3.24 km Mileage per liter with additive: u = 15.4 km, s = 5.56 km. a) What is the probability that the average kilometers traveled per liter in the sample of cars with additive is greater than 14.8 km? of cars with additive is greater than 14.8 km? b) If it is estimated that the variances of the kilometers traveled with and without additive are the same, what is the probability that in the samples, the average kilometers traveled per liter with the new…
- If f: X→ Y and B, C e P (Y), then -f-" (B) f1 (~ B) and f-1 (B - C) = f1 (B) ~f-1 (C)_) Jane bakes sourdough loaves, which are full of gluten. Unfortunately, John is allergic to gluten and wants to bake gluten-free loaves. John does not have their own “starter” (a mix of yeast, flour, and water that makes a loaf rise in the oven). Jane's starter is 50g of water and 50g of flour with gluten, and a microscopic amount of yeast that we will ignore. Jane gives John 50g of her starter. For John's first loaf, they replace the missing half of their starter with 25 g of gluten-free flour and 25g of water. This means their starter is now 25g of gluten-free flour, 25g of flour with gluten, and 50g of water. Once the yeast in this starter is fully activated, John is ready to make their first loaf. To bake the loaf they mix 50 g (half) of the starter with 225g of gluten-free flour and 225g of water, meaning the loaf is alwaysAlex 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
- Parts D and EThe aging Neotropical termites (Neocapritermes taracua) secrete a sticky, blue-colored liquid that they spew to intruding termites. The younger Neotropical termites secrete a liquid that lacks the blue component, so it is white in appearance. In an experiment that measured the toxicity of the blue substance, the researchers placed one drop of either the blue liquid or the white liquid on individuals of a second termite species, Labiotermes labralis. Of the 41 Labiotermes labralis that got the blue drop, 37 were immobilized. Of the 40 Labiotermes labralis that got the white drop, 9 were immobilized. Is the blue liquid toxic compared to the white liquid?The volume of cola of Brand A and Brand B filled into a bottle are uniformly distributed.Brand A: between 1.45 and 1.53 liters.Brand B: between 1.44 and 1.53 liters.Both brands claim that their cola contain more than 1.50 liters. Which brand should youchoose? Justify your answer.
