below.14-year-old girls’ summary data: n1 = 40, x¯1 = 155cm, S1 = 6.1cm14-year-old girls’ summary data: n1 = 40, x¯2 = 146cm, S1 = 9.1cm(a) Completely describe the sampling distribution of X¯1 − X¯2.(b) Estimate the difference in height between girls and boys, using a 95% confidenceinterval. Based on your interval, do you think there is a significant difference between thetrue mean height of 14-year-old girls and boys? Explain.(c) Interpret your interval.