Problem 1. A medical researcher is studying the risk of heart attack in men. She firstdivides men into three weight categories: thin, normal, and overweight. By studyingthe male ancestors, sons, and grandsons of these men, the researcher comes up with thefollowing transition table:Current StepNext Stepthin normal overweightthin0.30.50.2normal0.20.6overweight 0.10.50.20.4(a) Find the probability for a man of normal weight to have a thin son. How aboutthin grandson? Thin great-grandson?(b) Find the probability for an overweight man to have an overweight son. How aboutoverweight grandson? overweight great-grandson?(c) Suppose that the distribution of men by weight is initially given by (0.2, 0.55, 0.25).Find the distribution after 1 generation. How about 2, or 3, generations? Whatis the long term prediction?

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Answered: Problem 1. A medical researcher is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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3. Researchers Regine Dilla and associates wanted to determine whether consumption of cola is associated with lower bone mineral density. They looked at 1125 men and 1413 women in the Framingham Osteoporosis Study, which is a cohort that began in 1971. The first examination in this study began between 1971 and 1975, with participants returning for an examination every 4 years. Based on results of questionnaires, the researchers were able to determine cola consumption on a weekly basis. Analysis of the results indicated that women who consumed at least one cola per day (on average) had a bone mineral density that was significantly lower at the femoral neck than those who consumed less than one cola per day. The researchers did not find this relation in men. (a)Why is this a cohort study? (b)What is the response variable in this study? What is the explanatory variable? (c)Is the response variable qualitative or quantitative?
Select one: a. time-series b. cross sectional c. panel Business School Full-Time Enrollment Students per Faculty Local Tuition ($) Foreign Tuitiion ($) English Test Work Experience Starting Salary ($) 1 Melbourne Business School 200 5 24,420 29,600 No Yes 71,400 2 University of New South Wales (Sydney) 228 4 19,993 32,582 No Yes 65,200 3 Indian Institute of Management (Ahmedabad) 392 5 4,300 4,300 No No 7,100 4 Chinese University of Hong Kong 90 5 11,140 11,140 No No 31,000 5 International University of Japan (Niigata) 126 4 33,060 33,060 Yes No 87,000 6 Asian Institute of Management (Manila) 389 5 7,562 9,000 No Yes 22,800 7 Indian Institute of Management (Bangalore) 380 5 3,935 16,000 No No 7,500 8 National University of Singapore 147 6 6,146 7,170 Yes Yes 43,300 9 Indian Institute of Management (Calcutta) 463 8 2,880 16,000 No No 7,400 10 Australian National University (Canberra) 42 2 20,300 20,300 Yes Yes 46,600 11 Nanyang Technological…
How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). I II III IV 27.9 13.5 22.2 17.9 23.2 9.6 20.5 16.4 14.7 11.1 7.7 14.5 8.3 8.9 12.7 15.9 11.8 6.5 7.7 10.6 19.1 9.5 What are the degrees of freedom? (numerator) (denominator)(c) Find the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.001 < P-value < 0.010 P-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value is greater than the level of significance at α = 0.05, we do not reject H0. Since the P-value is less than or equal to the level of significance at α = 0.05, we…
For the following question, look at the table below that shows the frequency of ages in a sample: Cumulative Age in Years Frequency Percent Percent 18 5 5% 5% 20 15 15% 20% 21 13 13% 33% 22 10 10% 43% 25 25 25% 68% 28 11 11% 79% 30 12 12% 91% 32 5% 96% 35 4 4% 100% What percent of the sample is 30 years old or younger? 12% 68% 91% 11 participants
Example 5: A corporation psychologist believes that exercise affects self image. To investigate this possibility, 14 employees of the corporation are randomly selected to participate in a jogging programme. Before beginning the programme, they are given a questionnaire that measure self-image. Then they begin the jogging programme. The programme consists of jogging at a moderately taxing rate for 20 minutes a day, 4 days a week. Each employee's self-image is measured again after 2 months on the programme. The results are shown below (the higher the score, the higher the self-image); a score of 20 is the highest score possible. Subject 1 3 4 5 6 9. 10 11 12 13 14 Before Jogging 14 13 8. 14 12 7 10 16 10 14 15 12 9. After Jogging 20 16 15 12 15 13 12 13 16 18 14 17 18 15 (a) What is the alternative hypothesis? Use a non-directional hypothesis. (b) What is the null hypothesis? (c) Using a = (d) What error may you be making by your conclusion in part (c)? (e) To what population does your…
#10).
Suppose the following table represents world oil production in millions of barrels a day for a recent period of time. Complete parts a and b. Region Oil Production (millions of barrels a day) Iran 6.97 Saudi Arabia 8.76 Other OPEC countries 21.77 Non-OPEC countries 53.53 Question content area bottom Part 1 a. Compute the percentage of values in each category. Region Oil Production (millions of barrels a day) Percentage Iran 6.97 enter your response here% Saudi Arabia 8.76 enter your response here% Other OPEC countries 21.77 enter your response here% Non-OPEC countries 53.53 enter your response here% (Round to two decimal places as needed.) Part 2 b. What conclusions can you reach concerning the production of oil in the specified time period? Oil production by non-OPEC countries accounted for ▼ less than a quarter more than half slightly less than half more than three dash quarters of total oil production. Oil production by OPEC countries other than Iran…
what is the total degrees of freedom for this data?
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1. Carefully analyze Tables 2, 3, 4 & 5, and answer the following question. In this study, one exposed group is people who are in the 15-24 age group and had the recent stressor of mental illness. What is the unexposed group for this example? 2. In terms of suicide risk, which stressors affect the elderly (65+) more than other age groups?
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