Consider two independentrandom samples of sizesn1= 15andn2= 14, taken from two normally distributed populations.The sample standard deviationsare calculated to bes1= 35.2ands2= 39.0, and the sample meansarex1=-5.76andx2=-0.548, respectively.Using this information, test the null hypothesisH0:1=2

against the two-sided alternativeHA:12, using the Welch ApproximatetProcedure.

a)Calculatethe value for thettest statistic.

Round your response to at least 3 decimal places.