[college intro statistics] simple problems. please answer #3
(a,b). Show your work in detail thanks!

Show transcribed image text 3. Assume the following conditions. id iid X ad Yare independent. Let and s be the sample variances for each random sample, and s be the pooled sample variance which is defined as r a. Derive the pooled sample variance is an unbiased estimator of the common variance σ2 b. When s =5, =6 and nX = ny=10, find the 95% confidence interval for the common variance σ based on the pooled sample variance
3. Assume the following conditions. id iid X ad Yare independent. Let and s be the sample variances for each random sample, and s be the pooled sample variance which is defined as r a. Derive the pooled sample variance is an unbiased estimator of the common variance σ2 b. When s =5, =6 and nX = ny=10, find the 95% confidence interval for the common variance σ based on the pooled sample variance





