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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this model as a deterministic model? Are these assumptions or approximations acceptable to you?
- Suppose that you want to analyse the determinants of the murder rate in the United Kingdom using the following model: Murderrt = β0 + β1Convict + β2Unempt + β3Ymalet + ut where Murderrt is the number of murders per 100,000 persons during year t, Convic is the murder conviction rate, Unemp is the national unemployment rate, and Ymale is the fraction of males aged between 18 and 25. Data for all the variables are available for 25 years. a) You estimate this model using the OLS estimator. Explain the properties of the OLS estimator, β 1 ^, and the estimator of the variance, Var(β 1 ^), if the error term ut is serially correlated. b) You suspect the presence of the AR (1) serial correlation in the error term ut and decided to test for it using the Breusch-Godfrey test. State the null hypothesis for the Breusch-Godfrey test. c) Eviews gave you the F-statistic of 8.21 for the Breusch-Godfrey test. Do you reject the null hypothesis? Explain why or why not. If you did find evidence of serial…Suppose that X represents the number of years a person goes to school, and Y represents the income they earn after finishing those years of school. Year of schooling is widely believed to be a major determinant of income. Explain whether this correlation is likely to be casual or not.Show me the step of deterimne yellow
- A possible important environmental determinant of lungfunction in children is the amount of cigarette smoking in thehome. Suppose this question is studied by selecting twogroups: Group 1 consists of 23 nonsmoking children 5−9years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard devia-tion of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who havea mean FEV of 2.3 L and a standard deviation of 0.4 L. *8.31 What are the appropriate null and alternative hypoth-eses to compare the means of the two groups? *8.32 What is the appropriate test procedure for the hy-potheses in Problem 8.31? *8.33 Carry out the test in Problem 8.32 using the critical-value method. *8.34 Provide a 95% CI for the true mean difference in FEVbetween 5- to 9-year-old children whose parents smoke andcomparable children whose parents do not smoke.*8.35 Assuming this is regarded as a pilot study, how many…why is the covariance of a deterministic and a stochastic process 0? This relats to Arithmetic Bronian MotionA ________ is structured collection of related data and files. which one below? deterministic model database decision support system data validation decision model
- A possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5−9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard devia- tion of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L. *8.31 What are the appropriate null and alternative hypoth- eses to compare the means of the two groups?*8.32 What is the appropriate test procedure for the hy- potheses in Problem 8.31? How can we find p value? dont use excel. solve the step by stepA possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5−9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard devia- tion of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L.*8.32 What is the appropriate test procedure for the hy- potheses ? Find the p value using the F test. Solve the step by step. do nut use excellA possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5−9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard devia- tion of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L.*8.32 What is the appropriate test procedure for the hy- potheses ? Find the p value using the F test. Solve the step by step. do not use excell. JUST I WANT TO LEARN P VALUE Using the F Test . BE CAREFUL !!!!!