3/13 WU 3/13 WU Based on information from the U.S. National Health and Nutrition G: N(56.4, 2.7) n = 12 & B: N(55.7, 3.8) n = 8 Examination Survey (NHANES), the heights (in inches) of ten- year-old girls follow a Normal distribution /(56.4, 2.7). The a. What is the shape of the sampling distribution for the difference heights (in inches) of ten-year-old boys follow a Normal in height xg - Ic? distribution N (55.7, 3.8). Normal because both populations are Normal Suppose we take independent SRSs of 12 girls and 8 boys of this b. What is the center of your sampling distribution? age and measure their heights. BEG = 59. 7 - 564 = - 0.7 a. What is the shape of the sampling distribution for the difference in height &g - Ic? c. What is the spread of your sampling distribution? b. What is the center of your sampling distribution? EV 2.4125 1.55 c. What is the spread of your sampling distribution? d. Find the probability that the difference in height between the boys and girls in your sample is more than 5 inches. d. Find the probability that the difference in height between the boys and girls in your sample is more than 5 inches. P(XB - Xu >5 ) = normalcdf /5, 9099 /. =.000/