Suppose you have an unbiased, normally distributed estimator of a parameter B, and are testing the...
Suppose you have an unbiased, normally distributed estimator of a parameter B, and are testing the null hypothesis B=0 with a two tail test. For the present sample, the standard error of the estimator is 1.0
Suppose the true value of B=0.5. Professor X conducts the study and finds a positive and significant B. If you attempt to replicate Professor X's study in other data sets of the same size, what percentage of those data sets would you expect the sign of a significant B (that is, a B for which the null hypothesis is rejected) to flip from positive to negative?
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Suppose you have an unbiased, normally distributed estimator of
a parameter B, and are testing the...
2. Suppose § is an unbiased OLS estimator of parameter B, and the t-statistic t =...
2. Suppose § is an unbiased OLS estimator of parameter B, and the t-statistic t = 878~t(m), where m is the degrees of freedom. How to construct a 95% interval estimator of B? How to interpret this interval estimator?
Suppose that X',.X% are independent, both distributed normally with an unknown mean u and variance 4. a. Check ifXi +X2 is sufficient for μ. b. Give an unbiased estimator of u10. c. Is your e...
Suppose that X',.X% are independent, both distributed normally with an unknown mean u and variance 4. a. Check ifXi +X2 is sufficient for μ. b. Give an unbiased estimator of u10. c. Is your estimator in part (b) the UMVUE of +10? If not, provide the UMUE for +10.
Suppose that X',.X% are independent, both distributed normally with an unknown mean u and variance 4. a. Check ifXi +X2 is sufficient for μ. b. Give an unbiased estimator of u10....
Question 1 (1 point) Assume that you have estimated the slope coefficient (b) for the explanatory...
Question 1 (1 point) Assume that you have estimated the slope coefficient (b) for the explanatory variable X for a SLR of the form y-a+bX +ei. Assume further that the p-value for b-0.0267. If the level of significance is 1%, then the null hypothesis is rejected the null hypothesis is not rejected the null hypothesis is possibly rejected the null hypothesis could be rejected or not rejected Question 2 (1 point) Assume that you have estimated the slope coefficient (b)...
Question 22 3 pts Suppose you are interested in testing a null hypothesis and the p-value...
Question 22 3 pts Suppose you are interested in testing a null hypothesis and the p-value associated with the test statistic is 0.004. As a result, you should o reject the null hypothesis at the 5-percent level of significance, but not at the 1- percent level of significance. do not reject the null hypothesis at the 5-percent level of significance, but do reject the null at the 1-percent level of significance. o do not reject the null hypothesis at the...
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If...
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 sus 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the mean exceeds zero. If...
Suppose you have data on output quantity, labor input, and capital input for all the firms (N-50) in a given industry. Suppose we believe that the production function is Cobb-Douglas: (a) Transfo...
Suppose you have data on output quantity, labor input, and capital input for all the firms (N-50) in a given industry. Suppose we believe that the production function is Cobb-Douglas: (a) Transform this equation into a linear model so that the parameters can be (b) What is the null-hypothesis for testing whether the production function is (c) Derive the 95% confidence interval for testing the null-hypothesis against estimated by OLS. Give an interpretation of Bi constant returns to scale? the...
Suppose you are testing whether there is a statistically significant difference in systolic blood pressure (mmHg)...
Suppose you are testing whether there is a statistically significant difference in systolic blood pressure (mmHg) between a treatment and placebo group; that is, positive values indicate the treatment is more effective than the placebo, and negative values indicate the placebo is more effective than the treatment. The 95% CI is [8, 17] . Based on this interval, did the treatment group outperform the placebo, or vise versa? Should you reject or fail to reject the null hypothesis of no...
Bonus (5 points) Suppose that you are testing the following hypotheses: Ho: 4 = 10 and...
Bonus (5 points) Suppose that you are testing the following hypotheses: Ho: 4 = 10 and H :> 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 <u< 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the...
Objective: The purpose of this project is to provide you with experience in stating and testing a hypothesis of a given data that you have selected Report Guidelines: You should submit a report...
Objective: The purpose of this project is to provide you with experience in stating and testing a hypothesis of a given data that you have selected Report Guidelines: You should submit a report describing your activities. Your report should contain the exact sections described below. The point vałues that will be assigned to the sections are listed to the right of the section title. Problem Statement (10): In the problem statement, you should introduce the 1. random variable that you...
Q1. Hypothesis testing using a Z test (14 points) A professor has been teaching introductory statistics...
Q1. Hypothesis testing using a Z test (14 points) A professor has been teaching introductory statistics for many years and the final exam performance (30 points total) has been very consistent from class to class and the scores have been normally distributed. Overall, the whole data base (i.e. population) of final exam scores has a mean (μ) of 20 points and a standard deviation (σ) of 5 points. Because 20 out of 30 is only about 67%, the professor would...
2. Suppose § is an unbiased OLS estimator of parameter B, and the t-statistic t = 878~t(m), where m is the degrees of freedom. How to construct a 95% interval estimator of B? How to interpret this interval estimator?
Suppose that X',.X% are independent, both distributed normally with an unknown mean u and variance 4. a. Check ifXi +X2 is sufficient for μ. b. Give an unbiased estimator of u10. c. Is your estimator in part (b) the UMVUE of +10? If not, provide the UMUE for +10.
Suppose that X',.X% are independent, both distributed normally with an unknown mean u and variance 4. a. Check ifXi +X2 is sufficient for μ. b. Give an unbiased estimator of u10....
Question 1 (1 point) Assume that you have estimated the slope coefficient (b) for the explanatory variable X for a SLR of the form y-a+bX +ei. Assume further that the p-value for b-0.0267. If the level of significance is 1%, then the null hypothesis is rejected the null hypothesis is not rejected the null hypothesis is possibly rejected the null hypothesis could be rejected or not rejected Question 2 (1 point) Assume that you have estimated the slope coefficient (b)...
Question 22 3 pts Suppose you are interested in testing a null hypothesis and the p-value associated with the test statistic is 0.004. As a result, you should o reject the null hypothesis at the 5-percent level of significance, but not at the 1- percent level of significance. do not reject the null hypothesis at the 5-percent level of significance, but do reject the null at the 1-percent level of significance. o do not reject the null hypothesis at the...
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 sus 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the mean exceeds zero. If...
Suppose you have data on output quantity, labor input, and capital input for all the firms (N-50) in a given industry. Suppose we believe that the production function is Cobb-Douglas: (a) Transform this equation into a linear model so that the parameters can be (b) What is the null-hypothesis for testing whether the production function is (c) Derive the 95% confidence interval for testing the null-hypothesis against estimated by OLS. Give an interpretation of Bi constant returns to scale? the...
Bonus (5 points) Suppose that you are testing the following hypotheses: Ho: 4 = 10 and H :> 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 <u< 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the...
Objective: The purpose of this project is to provide you with experience in stating and testing a hypothesis of a given data that you have selected Report Guidelines: You should submit a report describing your activities. Your report should contain the exact sections described below. The point vałues that will be assigned to the sections are listed to the right of the section title. Problem Statement (10): In the problem statement, you should introduce the 1. random variable that you...
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