Assume That $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } = \sigma ^ { 2 }$

Essay

Assume that $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } = \sigma ^ { 2 }$ . Calculate the pooled estimator of $\sigma ^ { 2 }$ for $s _ { 1 } ^ { 2 } = .88$ , $s _ { 2 } ^ { 2 } = 1.01 , n _ { 1 } = 10$ , and $n _ { 2 } = 12$ .