2.The personnel department of a particular company has observed that 20% ofthe people the company hires are dismissed within a year because they areunable to perform adequately. To reduce the amount of turnover, thecompany decides to administer a test to all applicants. Data collected overseveral years suggest that 85% of new hires who remain with the companypass the test, and 95% of new hires who are dismissed fail the test.(a)Obtain the fraction of new hires who pass the test will be dismissedwithin a year.(b)Obtain the fraction of new hires who fail the test will be dismissedwithin a year.(c)You are interviewing a candidate who has failed the test, but youdecide to hire the candidate anyway. Calculate the probability that thisperson will be with the company 1 year from now.

Answered: Image /qna-images/answer/ad876df0-1f9c-4a7b-9edd-df26b2f695c0.jpg

Answered: 2. The personnel department of a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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William Profit is studying companies going public for the first time. He isparticularly interested in the relationship between the size of the offering and theprice per share. A sample of 15 companies that recently went public revealed the following information: y x 10.8 9 11.3 94.4 11.2 27.3 11.1 179.2 11.1 71.9 11.2 97.9 11 93.5 10.7 70 11.3 160.7 10.6 96.5 10.5 83 10.3 23.5 10.7 58.7 11 93.8 10.8 34.4
.A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.
The medical community unanimously agrees on the health benefits of regular exercise, but are adults listening? During each of the past 15 years, a polling organization has surveyed americans about their exercise habits. In the most recent of these polls, slightly over half of all American adults reported that they exercise for 30 or more minutes at least three times per week. The following data show the percentages of adults who reported that they exercise for 30 or more minutes at least three times per week during each of the 15 years of this study. Year Percentage of Adults Who Exercise 30 or more minutes at least three times per week 1 41.1 2 45 3 47.2 4 45.6 5 46.5 6 44.4 7 47.7 8 49.9 9 48 10 49 11 50 12 52.2 13 50.7 14 54.5 15 52.3 use simple linear regression to find the parameters for the line that minimizes MSE for this time series. Do not round your interim computations and…
The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013): Table: Economic Dynamism ($) of Middle Income Countries 25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643 Compute a 95% confidence interval for the mean economic dynamism of middle-income countries by answering the following questions (iv) Determine t score corresponding to desired confidence level Enter value in decimal form rounded to nearest hundredth. Examples of correctly entered answers: 2.01 0.37 0.60 0.00 (v) Determine error bound of the mean: Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers: 0.0000 0.0003 3.0060 2.0700…
5. A pet food company randomly chooses two groups of 20 puppies for a study. One group eats a new brand of dog food and the other group eats an off-brand dog food for a period of 4 weeks. Researchers record muscular and skeletal growth rates in both groups. What type of study is being described?
Researchers at a university designed and tested a speed-training program for junior varsity and varsity high school football players. Each in a sample of 38 high school athletes was timed in a 40-yard sprint prior to the start of the training program and timed again after completing the program. The decreases in times (measured in seconds) are listed in the accompanying table. [Note: A negative decrease implies that the athlete's time after completion of the program was higher than his time prior to training.] The goal of the research is to demonstrate that the training program is effective in improving 40-yard sprint times Find a 90% confidence interval for the true mean decrease in sprint times for the population of all football players who participate in the speed-training program. (Round to three decimal places as needed.)
1. The data in Table 7–6 were collected in a clinical trial to evaluate a new compound designed to improve wound healing in trauma patients. The new compound was com- pared against a placebo. After treatment for 5 days with the new compound or placebo, the extent of wound healing was measured. Is there a difference in the extent of wound healing between the treatments? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance. Use the data in Problem 1. Pool the data across the treatments into one sample of size n = 250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution 30%, 40%, 20%, and 10% and a = 0.05 to run the appropriate test. Percent Wound Healing Treatment 0-25% 26-50% 51-75% 76-100% New compound (n=125) 15 37 32 41 Placebo (n=125) 36 45 34 10
Healthy men aged 21–35 were randomly assigned to one of two groups: half received 0.82 gram of alcohol per kilogram of body weight; half received a placebo. Participants were then given 30 minutes to read up to 34 pages of Tolstoy’s War and Peace (beginning at Chapter 1, with each page containing approximately 22 lines of text). Every two to four minutes, participants were prompted to indicate whether they were “zoning out.” The proportion of times participants indicated they were zoning out was recorded for each subject. The following table summarizes data on the proportion of episodes of zoning out. Group n S Alcohol 25 0.25 0.05 Placebo 25 0.12 0.03 Calculate a 95% confidence interval for the mean difference between Alcohol and placebo groups.
A random sample of companies in electric utilities (I), financial services (II), and food processing (III) gave the following information regarding annual profits per employee (units in thousands of dollars). I II III 49.9 55.4 39.2 43.9 25.0 37.5 32.7 41.9 10.1 27.8 29.6 32.6 38.1 39.6 15.7 36.5 42.3 20.5 Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? Find the P-value of the sample test statistic. Make a summary table for your ANOVA test.

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