Questions 2-4 are based on the following scenario. Mr. Lange drawstwo independent random samples from normally-distributed popula-tions with unknown population means and unknown population vari-ances. The first sample is found to have x = 78, s² = 25, and n = = 10;while the second sample is found to have y = 74, s² : 9, and n = 16.2. Mr. Lange wishes to know if there is enough evidence to conclude thatthe population variances differ. Answer the following questions.(a) State the competing theories of this test.(b) Are the requirements for the Equal Variances F Test met? If not,explain why.(c) Compute the F statistic. Round your answer to three decimalplaces.(d) What distribution does the F statistic have?(e) Compute ao as discussed in class. What conclusion can you draw?

Answered: Image /qna-images/answer/8efceafc-e560-4de0-8305-bd03384b2602.jpg

Answered: Questions 2-4 are based on the…

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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Question 2 The city of Chicago decides to understand whether its citizens consume more alcohol during the summer period. As a baseline, the average person consumes 0.7L of alcoholic beverages in each week outside the summertime. In June of a given year, they collected a simple random survey of 28 people and estimated an average per capita consumption of 0.95L per week. Moreover, they estimated a sample variance of 0.85L² a) State the null and alternative hypothesis of the test. b) Compute the relevant test statistic. Show all steps. c) The researchers conducting this assessment decide to restrict the type 1 error to 10%. Find the critical value(s) for the test and justify your answer. d) Find the p-value for the test. Explain your answer. Draw a graph with a representation of the p-value with the relevant values in the test. e) Conclude the test.
QUESTION 6 Public relation companies conducted two surveys about deodorants. The first survey asked a random sample of 500 men about their use of a natural deodorant. A second survey asked the same questions to a random sample of 550 women. In these two studies, 68% of men and 44% of women stated they were dissatisfied with the effectiveness of natural deodorants. Use these results to answer the following questions about the proportion of men and women's satisfaction with natural deodorants. (Round to the nearest whole person as needed). Is there a statistically significant difference between men and women's satisfaction with natural deodorants? Yes, the proportion of men that are satisfied with natural deodorants is significantly less than the proportion of women that are satisfied with natural deodorants because both the lower limit and the upper limit of the confidence interval are positive values. Yes, the proportion of men that are satisfied with natural deodorants is…
For a population with a mean of m= 80, any score greater than 80 will have a positive z-score. Question 24 options: True False
Question 1: Hypothesis Testing. The regional manager at Coffbucks claims that the average customer spends 35 AED per visit. What the manager doesn't know is that you are an undercover, international auditor for Coffbucks HQ. You aren't sure whether the true average is higher or lower, but you want to test to see if the manager is right or wrong. You observe transactions at several randomly selected branches and can safely assume that transactions are normally distributed. You observe x= 31, s² = 117, n₁ = 130 (a) Construct a 95% confidence interval around the estimate. Do you have sufficient evidence to reject the manager's claim? (b) You're interested in seeing how Coffbucks compares to its largest competitor, Coffsta, so you collect data on Coffsta sales too. You observe y = 26, s²y = 140, n2 = 95. Construct a 95% confidence interval for x-y. Do you have evidence that average sales at Coffbucks are significantly higher than those at Coffsta? How do you know? (c) You believe that…
DO QUESTION 7 AND 8 ONLY A new study to determine the effectiveness of winter flu vaccinations measures the benefits of a flu shot for school children. The study comprises two random samples of school children who were vaccinated. One sample is from a primary school and the other from a high school. Question 1 According to previous studies, 50% of vaccinated primary school children contract winter flu. If a study takes a random sample of 18 vaccinated primary school children, the probability that less than 4 children in the sample contract flu is 0.0038 0.0117 0.0154 0.6439 Question 2 For the random sample in Question 1, the probability that at least 4 children but no more than 8 children contract flu is 0.0154 0.2366 0.4035 0.5713 Question 3 The new study claims that the probability of contracting the winter flu among vaccinated high school children is less than 0.5. Assume that p is the population proportion of vaccinated high school children who contract the flu. The…
Problem 7.5. You repeatedly and independently spin a uniform spinner with three colored regions: yellow, blue, and red. After 1800 spins, you tally the number of times your spinner landed on red. Independently from the spinner, you randomly extract balls from an urn containing 7 teal and 21 beige balls with replacement. After 1000 extractions, you tally the number of times a teal ball was extracted. What is the variance of the difference between the number of times your spinner landed on red and the number of times a teal ball was extracted?
Archaeology: Independent random samples from two regions (not those cited in Problem 11) gave the following phosphorous measurements (in ppm). Assume the distribution of phosphorous is mound-shaped and symmetric for these two regions. Region I: x1; n1=15 855 1550 1230 875 1080 2330 1850 1860 2340 1080 910 1130 1450 1260 1010 Region II: x2; n2=14 540 810 790 1230 1770 960 1650 860 890 640 1180 1160 1050 1020 (a) Use a calculator with mean and standard deviation keys to verify that x1 < 1387.3, s1 < 498.3, x2 < 1039.3, and s2 < 346.7. (b) Let m1 be the population mean for x1 and let m2 be the population mean for x2. Find an 80% confidence interval for u1-u2. (c) Interpretation Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 80% level of confidence, is one region more interesting than the other from a geochemical perspective? (d) Check Requirements…
Question No-02: The following table shows the distribution of wages per thousand employees in a certain factory. Daily Wages(RS): 22 24 26 28 30 32 34 36 38 40 42 44No.of Employees: 3 13 43 102 175 220 204 139 69 25 6 1 Calculate the Mode, Median, Lower quartile, Upper quartile, D3, and P75. Question No.03: The following are the scores made by two batsman A and B in a series of innings. A: 12 15 6 73 7 19 199 36 84 29 B: 47 12 76 48 4 51 37 48 13 0 Who is better as a run-getter? Who is the more consistent player?
Questions 12-14: Results of a randomized clinical trial of a new vaccine formulated to protect against SARS CoV-2 infection are shown in the following table. A total of 100,000 adults who were negative for infection at baseline enrolled in the study. Estimates shown in the following table are based on results after follow-up of six months. SARS COV-2 SARS COV-2 Status Positive Total Subjects Negative Received Vaccine 10 49,990 50,000 Did not receive vaccine 200 |49,810 50,000 13. What is the relative risk (RR) based on these data? O B. RR = 1.00 O D. RR = 0.05 O A. RR = 20 O C. RR = 0.10 %3D
According to the 2000 U.S. Census Bureau, in 2000, 9.5 percent of children in the state of Ohio were not covered by private or government health insurance. In the neighboring state of Pennsylvania, 4.9 percent of children were not covered by health insurance. Assume that these proportions are parameters for the child populations of the respective states. If a random sample of size 100 children is drawn from the Ohio population, and an independent random sample of size 120 is drawn from the Pennsylvania population, what is the probability that the samples would yield a difference, ^p1 - ^p2 of .09 or more?
Question No. 9-14: A mail-order business pride itself in its ability to fill customers’ orders in six calendar days or less on the average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. Based on this sample information, he decides if the desired standard is not being met. He will assume that the average number of days to fill the customers’ orders is six or less unless the data suggest strongly otherwise. Establish the appropriate null and alternative hypotheses. On one occasion where a sample of 40 customers was selected, the average number of days was 6.65, with a sample standard deviation of 1.5 days. Can the operations manager conclude that this mail-order business is achieving its goal? Use a significance level of 0.025 to answer this question. Calculate the p-value for this test. Conduct the test using this p-value.

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