If is unbiased estimator of
then
Answer (A)
Please give thumbs up if you like the answer.
Question 4 0.8 pts Suppose Ô is an estimator for the population parameter 4. Which of...
4. (12 pts) Give an example of three distinct random variables where each is an unbiased estimator for the same population parameter. You MUST provide all the details to justify your assertion.
QUESTION 5 Suppose you obtained one sample from the same data generating process as above (Y = 2 + 3x+ u), and your estimate β 1 (the estimated X coefficient) was 2.107. Which of the following best describes whether the estimator is biased? The estimator is biased because the estimate 2.107 is too far below the population parameter of 3 The estimator is not biased because the estimate 2.107 is within 30 percent of the population parameter 3. We do...
Question 19 3 pts The ordinary least squares estimator of a slope coefficient is unbiased means if repeated samples of the same size are taken, on average the OLS estimates will be equal to the true slope parameter O the mean of the sampling distribution of the slope coefficient is zero. O the estimated slope coefficient will always be equal to the true parameter value. the estimated slope coefficient will get closer to the true parameter value as the size...
Please give explanation................................................. Multiple Choice. Select the best response 1. An estimator is said to be consistent if a. the difference between the estimator and the population parameter grows smaller as the sample b. C. d. size grows larger it is an unbiased estimator the variance of the estimator is zero. the difference between the estimator and the population parameter stays the same as the sample size grows larger 2. An unbiased estimator of a population parameter is defined as...
15) Which of the following statements are true? I. If a population parameter is known, there is no reason to run a hypothesis test on that population parameter. II. The P -value can be negative or positive depending upon whether the sample statistic is less than or greater than the claimed value of the population parameter in the null hypothesis. III. The P -value is based on a specific test statistic so it must be chosen before an experiment is...
Question 4 0.8 pts Suppose you are hired by a firm to determine what proportion of voters voted for a certain candidate. The media reports that 52 percent of individuals voted for candidate A in the last election. You randomly sample 100 individuals, you find that 34 people voted for candidate A. Let denote the true proportion of the population that voted for candidate A. You test the null hypothesis that 0-0.52. If you fail to reject the null hypothesis...
4. Suppose that a population U is divided into 2 subgroups (PSUs), each of which contains 3 units (SSUs). We first randomly select one PSU with equal probability. If PSU 1 is selected, we further PSU 1 PSU 2 M SSUs 3 3 y11, V12, 913 y21. У22: y23 select 2 SSUs from it using SRSWOR, if PSƯ 2 is selected, we then select all SSUs from it. Let u 6 2. 3-1 yij be the population mean. Let yunb...
Part IV: SHORT ANSWER Question 4: 6 marks) Suppose we have two estimators of the population parameter V:. Ely) = y +8/n? v (ų)= 03/13 and E(ū)= y +9/n? viņ)= 202/12 Determine the bias, if any, of each estimator. (ii) Determine the MSE. Which estimator is preferred? (iii) Determine if the estimators are consistent. Explain.
Question 7 3 pts Suppose that you have 50 observations on the variables Y and X. If the sample correlation coefficient is 0.5 (r=0.5), and you want to test the null hypothesis that the true population correlation coefficient (rho) is equal to zero, then the test statistic associated with this null hypothesis is: o 5 04 O2 O 3 Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high...
Question 4 1 pts We are determining the value of a parameter when we know the entire population. Inference is not relevant in this situation O True False Question 5 1 pts For each of the following questions, indicate whether it is best assessed by using a confidence interval or a hypothesis test or whether statistical inference is not relevant to answer it. What proportion of people using a public restroom wash their hands after going to the bathroom? Inference...