# A parent believes the average height for 14-year-old girls differs from that of 14-year-old boys.Answer the following. The summary data are listed… 1

A parent believes the average height for 14-year-old girls differs from that of 14-year-old boys.Answer the following. The summary data are listed 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)[3] Completely describe the sampling distribution of X¯1 − X¯2.(b)[5] Estimate the difference in height between girls and boys, using a 95% confidenceinterval[3]. Based on your interval, do you think there is a significant difference between thetrue mean height of 14-year-old girls and boys? Explain[2].(c)[2] Interpret your interval.

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