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Assume That σ12=σ22=σ2\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } = \sigma ^ { 2 }

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Assume that σ12=σ22=σ2\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } = \sigma ^ { 2 } . Calculate the pooled estimator of σ2\sigma ^ { 2 } for s12=50s _ { 1 } ^ { 2 } = 50 , s22=57s _ { 2 } ^ { 2 } = 57 , and n1=n2=18n _ { 1 } = n _ { 2 } = 18 .


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