Two samples are selected independently from two normal populations and the mean and standard error of the sampling distribution of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ are 32 and 38.72,respectively.Calculate P( $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ 0).

Question

Two samples are selected independently from two normal populations and the mean and standard error of the sampling distribution of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ are 32 and 38.72,respectively.Calculate P( $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ > 0).

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The Answer of Two samples are selected independently from two normal populations and the mean and standard error of the sampling distribution of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ are 32 and 38.72,respectively.Calculate P( $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ > 0).

Two Samples Are Selected Independently from Two Normal Populations and the Mean