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

question 34

Essay

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).