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In Testing Whether the Means of Two Normal Populations Are n1=20n _ { 1 } = 20

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In testing whether the means of two normal populations are equal, summary statistics computed for two independent samples are as follows: n1=20n _ { 1 } = 20 , xˉ1=10.8\bar { x } _ { 1 } = 10.8 , s1=0.90s _ { 1 } = 0.90 . n2=18n _ { 2 } = 18 , xˉ2=9.6\bar { x } _ { 2 } = 9.6 , s2=1.10s _ { 2 } = 1.10 . Assume that the population variances are unequal. The standard error of the sampling distribution of the sample mean difference xˉ1xˉ2\bar { x } _ { 1 } - \bar { x } _ { 2 } is equal to:


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