The following is a LPP: Max Z-10X1 + 9X2+ 12X3 X1 + X2+ X3 <= 10 2X1 + X2+ X3 <= 12 X1 + X2 + 2X3 <= 15.6 X1,X2,X3>0
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- A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?a researcher claims that 85% of Americans think there are unlikely to contract the zika virus in a random sample of 250 Americans 225 think that they're unlikely to contract the Zika virus. At x=0.05 is there enough evidence to reject the researcher's claim?
- Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?Suppose 1.5% percent of the ball bearings made by a machine are defective and the ball bearings are packed 200 to a box. Compute the pf of the number of defective ball bearings in the box and compare it to the Poisson approximation.A certain company produces fidget spinners with ball bearings made of either plastic or metal. Under standard testing conditions, fidget spinners from this company with plastic bearings spin for an average of 2.7 minutes, while those from this company with metal bearings spin for an average of 4.2 minutes. A random sample of three fidget spinners with plastic bearings is selected from company stock, and each is spun one time under the same standard conditions; let x¯1x¯1 represent the average spinning time for these three spinners. A random sample of seven fidget spinners with metal bearings is selected from company stock, and each is likewise spun one time under standard conditions; let x¯2x¯2 represent the average spinning time for these seven spinners. What is the mean μ(x¯1−x¯2)μ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2 ? 3(2.7)−7(4.2)=−21.33(2.7)−7(4.2)=−21.3 A 3−7=−43−7=−4 B 2.7−4.2=−1.52.7−4.2=−1.5 C…
- When the health dept. tested private wells in a county for 2 impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 30% had impurity A, 40% had impurity B, and 10% had both impurities. If 20 wells are randomly inspected from those in the county, find the prob. that 10 had neither impurity, 4 had impurity A, 4 had impurity B,and 2 had both impurities (rounded odd to 4 decimal places).. A. 0.0001 B. 0.1011 C. 0.2900 D. 0.9990Suppose that 95% of the bags of certain fertilizer mix weigh between 49 and 53 pounds. Averages of three succesive bags were plotted, and 47.5% of these were observed to lie between 51 and X pounds. Estimate the value of X. State assumptions you make and say whether these assumptions are likely to be true for this example.A research center claims that at least 27% of U.S adults think that the IRS will adult their taxes. In a random sample of 1000 U.S adults in a recent year 23% say they are concerned that the IRS will adult their taxes. At x=0.01, is there enough evidence to reject the center's claim?
- Is there a significant difference on the ratings of the respondents on X15 when grouped according to X2? Statement of the Problem: Is there a significant difference on New Product – X15 when grouped according to Industry Type – X2? Null Hypothesis: There is no significant difference on New Product – X15 when grouped according to Industry Type – X2. Note: The coding for Industry Type is 0 for Magazine Industry and 1 for Newsprint Industry. Interpret the T-Test ResultSuppose now that you have good arguments to say that the association between X andC (the unobserved confounding factor, here IQ at age 3), measured by γCX, is of a similarmagnitude as the association between X and A, measured by γAX — which you can computein your data (since A is observed). Would this new condition (γCX = γAX). Why?A set of 15 different integers has a median of 25 and a range of 15. 1. What is the greatest possible integer that could be in this set? 2. If the second largest number is 39 and the mode is 33, what is the coefficient of the variation? 3. What will be the value of kurtosis and its description?