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The means of two samples of sizes 60 and 120 respectively are 35.4 and 30.9 and the standard deviations are 4 and 5.

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The means of two samples of sizes 60 and 120 respectively are 35.4 and 30.9 and the standard deviations are 4 and 5. Obtain the standard deviation of the sample of size 180 obtained by combining the two samples.

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Let n1 = 60 n2 = 120 \(\bar {x_1}\) = 35.4, \(\bar {x_1}\)= 30.9, σ1 = 4, σ2 = 5

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