Problem 4. [6 points] Take a sample X₁,..., XN~ Bin(4,0). 1. [1 point] State the Central Limit Theorem for this sample.
Posted: Thu May 05, 2022 8:15 pm
Please provide part 4b and 4c.
Thanks
Problem 4. [6 points] Take a sample X₁,..., XN~ Bin(4,0). 1. [1 point] State the Central Limit Theorem for this sample. 2. [1 point] Using the method of moments estimation (MME), find the estimate . 3. [1 point] Using item 1, state the asymptotic normality result for 8. 4. [3 points] Assuming N = 400 and = 2.9, (a) find , (b) find the 98% confidence interval for 8, (c) find the p- value for the hypothesis = 0.7.
Thanks
Problem 4. [6 points] Take a sample X₁,..., XN~ Bin(4,0). 1. [1 point] State the Central Limit Theorem for this sample. 2. [1 point] Using the method of moments estimation (MME), find the estimate . 3. [1 point] Using item 1, state the asymptotic normality result for 8. 4. [3 points] Assuming N = 400 and = 2.9, (a) find , (b) find the 98% confidence interval for 8, (c) find the p- value for the hypothesis = 0.7.