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- Consider the following model: y = ß0 + ß1x + ε . In this model, the following is true: a) there is a deterministic component and a random component in the model equation b) the error term in the model represents cumulative mistakes made by the researcher in computing his/her statistics on the sample c) the intercept value is necessarily equal to 0 for any sample on which this equation is applied (as evidenced by the fact that it is indicated by the subscript 0) d) when computed on a sample, the slope must always be positive for this equation to work e) if we were to use this equation for prediction, we’d place “hats” above certain values in the equation f) a and e g) a, b and eA 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…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 step
- 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.*8.32 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 !!!!!What is the value of the bordered Hessian determinant of the generalized Cobb-Douglas production function q=K0,3L0,5 subject to 2K+L=120? A) K0,5/L1.5 + 0,6/K0,7L0,5+21L0,5/K1,7 B) 21L0.5/K1,7+K0,7/L0,5+1/K0,3L1,5 C) K0.3/L1,5+0,6/K0,7L0,5+21L0,5/K1,7 D) K1,7/L1,5+21/K0,7L0,5+1/K0,3L1,5
- What is the value of the bordered Hessian determinant of the generalized Cobb-Douglas production function q=K0.33 L0.5 subject to 2K+L=120 ?Solve the equation SP = S to find the stationary matrix S and the limiting matrix ¯¯¯P.Let A and P be n × n matrices, where P is invertible. Does P−1AP = A? Illustrate your conclusion with appropriate examples. What can you say about the two determinants ∣P−1AP∣ and ∣A∣?
- for what value(s) of c is the matrix A NOT invertible?Hint: Determinant.A =[2 1 3c 4] [0 c-1 4 0] [0 0 2 1] [0 0 c 4]q4: If det(A) =|A|= 0, then A is called a non-singular matrix True FalseConsider the following system in which s is an unspecified parameter. Determine the values of s for which the system has a unique solution, and use Cramer's Rule to describe the solution. Justify your answer. 3sx - 2y = 4 -6x + sy = 1