Suppose ten individuals present to a clinic to be vaccinated against a disease:3 of them will eventually contract the disease if not vaccinated- call this the disease susceptible group (D).7 of them will not contract the disease regardless of whether they are vaccinated- call this the well group (W).Assume that there is only enough vaccine for three of the patients, so the doses are to be randomlyrationed. The relevant random experiment consists of successively drawing three patients one-by-one without replacement from among the 10 to form the triple of patients who are to be vaccinated.Suppose our interest is in the jointly distributed random variablesX = number of D-type patients in the first pair of a randomly drawn triple of patientsandY = number of D-type patients in the second pair of a randomly drawn triple of patients.What is the sample space corresponding to these jointly distributed random variables?a) {(0,0), (0,1); (1,2), (2,1), (2,2)}b) {(0,0), (0,1), (1,0), (2,1), (2,2)}c) {(0,0), (1,0), (1,1), (1,2), (2,1), (2,2)}d) {(0,0), (0,1), (1,0), (1,1), (1,2), (2,1), (2,2)}

10 individuals present to a clinic to be vaccinated against a disease.If not vaccinated, 3 of them…

Answered: Suppose ten individuals present to a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. In clinical trials for treatment of a skin disorder, 697 of 2115 patients receiving a NEW proposed treatment were cured of the disorder and 642 of 2060 patients receiving the current standard treatment were cured of the disorder. Each sample is the result of a randomized experiment. Perform a Hypothesis Test using a = 0.05 level of significance, and determine if there is evidence to conclude that the NEW treatment cures a higher proportion of patients than the current treatment. 1) Set up a Hypothesis Test, 2) verify requirements, 3) use both the classical and p-value approach to justify and show results of the Hypothesis Test, and 4) state your conclusion.
Twenty university students chosen at random from students enrolled at Carthage College took part in an experiment testing the effect of watching ABC News versus CNN on knowledge of world events. The 20 participants were divided randomly into two equal groups of 10 students each. One group was assigned to watch ABC and the other was assigned to watch CNN. Participants then watched their assigned station (ABC or CNN) for 3 hours a night for 4 weeks. At the end of the 4 week period they were administered a test of world knowledge. The results were as follows: XbarABC = 104; sABC = 12 XbarCNN = 99; sCNN = 10 Compute the 95% confidence interval around the difference between the two groups.
A social psychologist hypothesized that a white person is more likely to cooperate with another person than a black person in a task requiring cooperation (this would be considerate an alternative hypothesis). To test this idea he conducted an experiment in which white subjects either worked on a task with a white person or black person (both of these “others” were confederates of the experimenter). Thirty-one subjects were randomly assigned to the “white-other” treatment (say this is treatment 1) and 31 were randomly assigned to the “black-other” treatment (this is treatment 2). If the mean cooperation scores, on a scale from 0 to 20, were 14 for those subjects in the “white-other” treatment and 12 for those in the “black-other” treatment, run an appropriate test to test the social psychologist’s hypothesis. Let us further say that the variance for the cooperation measure for the “white-other” treatment was = 2.48 and the variance for the “black-other” treatment was = 2.52. Use =0.05…
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In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. If we want to use the methods for testing a claim about two population proportions to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for a hypothesis test satisfied? Explain. A The requirements are not satisfied; the samples are not simple random samples that are independent. B. The requirements are satisfied; the samples are simple random samples that are independent, and for each of the two groups, the number of successes is at least 5 and the number of failures is at least 5. C. The requirements are satisifed; the samples are simple random samples…
Thirty-eight percent of all shoppers at a large department store are holdersof the store’s charge card. If a random sample of 100 shoppers is taken, what is theprobability that at least 30 of them will be found to be holders of the card?
55
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 115 of the new racecar engines and 120 of the old engines. They found that 12 of the new racecar engines and 9 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6 : Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 : Compute the value of the test…
A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same random sample of 12 cars. In particular, each car has one tire of each brand on its front wheels, with half of the cars 00 chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in the table EC below. Car 1 2 4 5 7 8 10 11 12 Brand 1 0.48 0.38 0.45 0.50 0.45 0.58 0.37 0.51 0.62 0.38 0.45 0.42 Brand 2 0.52 0.44 0.31 0.38 0.33 0.28 0.37 0.47 0.35 0.18 0.23 0.20 Difference - 0.04 - 0.06 0.14 0.12 0.12 0.30 0.00 0.04 0.27 0.20 0.22 0.22 (Brand 1 - Brand 2) Send data to calc... v Based on these data, can the consumer group conclude, at the 0.05 level of significance,…
In randomized, double-blind olinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group x received the new vaccine while subjects in group y received a control vaccine. After the first dose, 118 of 718 subjects in the experimental group (group x) experienced vamiting as a side effect. After the first dose, 74 of 619 of the subjects in the control group (group y) experienced vomiting as a side effect. Construct a 95% confidence interval for the difference between the two population proportions, P, - P, The 95% confidence interval for P,-P, is ( (Round to three decimal places as needed.)
In a large clinical trial, 396,565 children were randomly assigned to two groups. The treatment group consisted of 199,919 children given a vaccine for a certain disease, and 30 of those children developed the disease. The other 196,646 children were given a placebo, and 105 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, P1, 91, n2. P2, 92. p, and q. Enter your answer in the answer box and then click Check Answer. Check Anwer Clear All 7 parts remaining MacBook Air क 19 * ES F7 吕0 F4 esc FI F2 $ % & delele %23 5 7 4 T Y Q W E tab つ F G S レン * 00 つエく0
2. Suppose AB Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effective for men and women. To test this claim, they choose a simple random sample of 100 women and 160 men from a population of 100,000 volunteers. At the end of the study, 38% of the women caught a cold; and 51% of the men caught a cold. Based on these findings, can we reject the company's claim that the drug is equally effective for men and women? Use a = 0.05 level of significance.

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