The population of persons infected Covid-19 virus rate proportional I days the city and after 4000 (8 + 1) infected. by to to increase the infected the virus. 1.000 (8) infected persons. in (1) at number of persons by virus. After After s observed 2.5 days Persons. Find ナ an number the city expression R Known at for the approximate infected persons in time t and ary the approximate number of persons initially infected in the city.
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- From time to time, the UTM Human Resource (UTMHR) department observes various employees fortheir work productivity. Recently UTMHR wanted to check whether the four employees at theDepartment XYZ counters, serve on average the same number of customers per hour. The HR managerobserved each of the four employees for a certain number of hours. The following Table 5 gives thenumber of customers served by the four employees during each of the observed hours. employee a employee b employee c employee d 19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 employee a employee b employee c employee d mean 21.6 14.8 15.0 22.0 s 3.4 ? 3.8 ? c) Find variance between sample,d) Find variance within sample, e) Calculate the test statistic, F.f) Determine the numerator and denominator.g) Find the critical value of F at the 5% significance level, and test the claim that the mean numberof customers served per hour by each of these four employees is…From time to time, the UTM Human Resource (UTMHR) department observes various employees fortheir work productivity. Recently UTMHR wanted to check whether the four employees at theDepartment XYZ counters, serve on average the same number of customers per hour. The HR managerobserved each of the four employees for a certain number of hours. The following Table 5 gives thenumber of customers served by the four employees during each of the observed hours. employee a employee b employee c employee d 19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 a) Define the hypothesis null, H0 and hypothesis alternative, H1.b) Given below are means and standard deviation for some of the employees. Calculate thestandard deviation for Employee B and D.Suppose that 15% of a Canadian wholesaler’s food products are gluten-free. Furthermore, 70% of its products are peanut-free. Assume that the use of nuts and gluten-containing products are independent. 1. (a) What percentage of this wholesaler’s products contain at least one of the two allergens? (b) What percentage of this wholesaler’s products are allergen-free? 2. What percentage of this wholesaler’s products contain peanuts but no gluten?
- At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B Consider a random sample of n=9 people who donated blood over the past three months. a) The expected number of people with blood type O+ is _____and the expected number of people with blood type A- is ______Round your answers to 2 decimal places. b) Calculate the following probabilities: P(X=5)=_________ Round your answer to 4 decimal places. P(X>2)=_________ Round your answer to 4 decimal places.A production manager is interested to know if the distribution of defective items produced by threemachines are homogeneous. From a random sample of 200 items produced by machine I it wasfound that 150 items have no falt, 30 items have one fault and rest of the items have more than onefault. Of the 180 items produced by the machine II it was found that 85% items have no fault, 10%items have one fault and rest of the items have more than one fault. From a total of 220 itemsproduced by machin III, it was found that 205 items have no fault, 10 items have one fault and restof the items have more than one fault.(a) Construct the contigency table considering status of defectives in row and type of machinein column(b) What percentage items with one fault produced by each of the machine I and III?(c) Test at 5% significance level whether the distribution of defective items produced by threemachines are homogeneous or not?If a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is NOT significant, then the populations of blue-eyed people and brown-eyed people are ________ different salaries. a) unlikely to have b) very unlikely to have c) guaranteed to have d) guaranteed to not have
- The Greer Tire company manufactures a new steel-belted radial tire to be sold through a national chain of discount stores. Because the tire is a new product, Greer’s managers believe that the mileage guarantee offered with the tire will be an important factor in the acceptance of the product. Let X = miles that the tires last: X~N(60,000 2,500) Find the mileage guarantee that ensures this company will repair no more than 15% of its product for free. Assume the distribution of tire mileage is normal.The Stanford University Heart Transplant Study was conducted to determine whether an experimental heart transplant program increased lifespan. Each patient entering the program was designated an official heart transplant candidate, meaning that he was gravely ill and would most likely benefit from a new heart. Patients in the treatment group got a transplant and those in the control group did not. Of the 34 patients in the control group, 4 were alive at the end of the study. Of the 69 patients in the treatment group, 24 were alive. The contingency table below summarizes these results.Tweet, a quality control engineer of a large computer firm, inspects a large shipment of printed circuit boards (PCBs). The shipment of 1000 PCBs were inspected for defects, such as misplaced components or the application of too much solder paste. Tweet found that 750 of the PCBs have no defects, 100 have one defect each, 75 have two defects each, 50 have three defects each, and the rest have 5 defects each. Let X be the number of defects found in a PCB. What is P(X =2)? Group of answer choices
- At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B a) Consider a random sample of n=9 people who donated blood over the past three months. The expected number of people with blood type O+ is and the expected number of people with blood type A- is Calculate the following probabilities: P(X=5)= __________ Round your answer to 4 decimal places. P(X>2)= __________ Round your answer to 4 decimal places. b) Consider a random sample of n=40 people who donated blood over the past three months. Use the relevant probability function of Y to calculate the probability that 2 people in the random sample will have type A- blood. ________…In a Right Tailed Hypothesis test, the test statistic was found to be Z=2.74The rejection region included values greater than the critical value Zc=2.02 The conclusion would be to... Reject the null hypothesis because the test statistic is NOT in the rejection region Fail to reject the null hypothesis because the test statistic is in the rejection region Fail to reject the null hypothesis because the test statistic is NOT in the rejection region Reject the null hypothesis because the test statistic is in the rejection region Accept the null hypothesis because the test statistic is NOT in the rejection regionAn automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelectronic firms: A, B, and C. The quality-control department of the company has determined that 3% of the microprocessors produced by firm A are defective, 4% of those produced by firm B are defective, and 1.5% of those produced by firm C are defective. Firms A, B, and C supply 35%, 20%, and 45%, respectively, of the microprocessors used by the company. What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?