tabshmThe 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 theproportion of engine failures due to overheating of the old engines, (p₂). To test this statement, NASCAR took a random sample of 220 of the new racecar engines and230 of the old engines. They found that 19 of the new racecar engines and 11 of the old engines failed due to overheating during the test. Does NASCAR have enoughevidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of a = 0.05 for the test.Step 1 of 6: State the null and alternative hypotheses for the test.caps lockAnswerescA!1©2022 Hawkes LearningQ<Aoption@2ZWS#3XHcommandQEDE4CRF%5VTGHo-P1H₂:P6BMacBook ProY- P₂H- P₂7UN.8J1M(9K<O<H0LPcommandD;TablesAIKeypadKeyboard ShortcutsSubmit Answeroptionr?1©1deletereturnshift

Given: Significance level = 0.05

Answered: The manufacturer of a new racecar…

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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Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let pDrepresent the sample proportion for D, and let pE represent the sample proportion for E. (a) What is the value of the difference pD - pE? Show your work. (b) What are the mean and standard deviation of the sampling distribution of the difference in sample proportions pD - pE? Show your work and label each value. (c) Can it be assumed that the sampling distribution of the difference of the sample proportions pD - pE is approximately normal? Justify your answer.
A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 10 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 10 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with 4.0, 7.9, 6.1, 2.9, 4.0, 4.0, 4.5, 6.4, 5.6, 2.3 multivitamin Treated with 4.0, 6.6, 8.5, 3.2, 4.8, 2.6, 3.4, 3.2, 7.6, 7.7 vitamin C Send data to calculator v Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that the population standard deviation of recovery time from the flu is 1.5 days when treated with vitamin C tablets. Suppose also that both…
Is there a particular acid reflux drug that is more effective? To answer this question, we will use a random sample of patients suffering from acid reflux and randomly place them in three groups. One group will take Prilosec, one group will take Nexium, and one group will take Zantac. We will perform a hypothesis test for homogeneity, looking at the proportion of patients from each group whose acid reflux improves after taking the drug (results shown in the table below). Test at the a = 0.01 level of significance. Which would be correct hypotheses for this test? O Ho: The three proportions are different; H,: The three proportions are the same O Ho: P1 = P2 = P3, H1:at least one proportion is different than the others | Ho : µ1 = H2 = µ3; H1: 41 # H2 # H3 | Ho:P1 = P2 = P3 ; H1:P1 # P2 + P3 Sample data: Condition Improved Condition Not Improved Prilosec 22 18 Nexium 43 20 Zantac 37 18 Test Statistic (2 decimal places): Give the P-value (4 decimal places, if less than 0.001 answer 0):…
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.0 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.5 4.3 4.5 5.1 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. (i) Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to three decimal places.) x1 = s1 = x2 = s2 = (ii) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use α = 0.01.(a) What is the level of significance? What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.)
The owner of a computer company claims that the proportion of defective computer chips produced at plant A is higher than the proportion of defective chips produced by plant B. A quality control specialist takes a random sample of 80 chips from production at plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 90 chips from production at plant B and determines that there are 10 defective chips. Let pA = the true proportion of defective chips from plant A and pB = the true proportion of defective chips from plant B. Which of the following is the correct P-value for the hypotheses, ?
At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 318 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 266 had no visible scars after treatment. Another random sample of n2 = 418 patients with minor burns received no plasma compress treatment. For this group, it was found that 105 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p1 − p2.
A geneticist is interested in the proportions of males and females in a population who have a certain minor blood disorder. In a random sample of 100 males, 34 are found to be afflicted, whereas only 30 of 120 females tested have the disorder. With this sample information, geneticist wants to test the proportion of men in the population afflicted with this blood disorder is significantly greater than the proportion of women afflicted. Find the p value for the test
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 135 of the new racecar engines and 175 of the old engines. They found that 14 of the new racecar engines and 8 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=0.01 for the test. Step 2 of 6 : Find the values of the two sample proportions, p^1 and p^2. Round your answers to three decimal places.
Based on information from a previous study, r1 = 34 people out of a random sample of n1 = 105 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 105 adult Americans who did attend college, r2 = 50 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 H0: p1 = p2; H1: p1 < p2H0: p1 = p2; H1: p1 > p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large.The standard normal. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large.The Student's t. We assume the…
the brand name of a certain chain of coffee shops has a 6% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. he selects a random sample of 6 Coffleton residents, find the probabilty that the number that recognize the brand name is not 4
Two different blood pressure medicines are being compared to determine if the average reduction in blood pressure is the same for each medication. The goal of the study is to determine if the medications differ. Twenty men age 50-60 years old are selected for the study. Ten men are chosen at random to receive the first medication and the other 10 men receive the second medication. Each of the 20 men is monitored for one month to determine the change in blood pressure over that time. Minitab provides the 95% confidence interval for (mu1 - mu2) (2.63, 14.18) a. Interpret this 95% CI. b. What assumptions (be specific) are necessary to construct this CI?
A pharmaceutical company proposed a vaccine that would combat paralytic polio. Two independent random samples were collected from the population. One random sample of 201,229 was given the placebo, and among them 100,910 contracted paralytic polio. The other random sample of 200,745 was given the vaccine, and among them 50,033 people ended up contracting paralytic polio. Let the true proportion of cases of paralytic polio given placebo be p1p1 and the true proportion of cases of paralytic polio given vaccine be p2. Calculate the upper bound of a 95% confidence interval for p1−p2. Round your answer to three decimal places.

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