please help with 5.4.3 541 The study cited in Exercises 5.3.1 and 5.3.2 gives the following data on serum cholesterollevels in U.S. females:PopulationAgeMeanStandard DeviationA20-2918337.2B30-3918934.7Use these estimates as the mean µ and standard deviation o for the respective U.S. popula-tions. Suppose that we select a simple random sample of size 50 independently from eachpopulation. What is the probability that the difference between sample means Xg -XA willbe more than 8?5.4.2 Given two normally distributed populations with equal means and variances of o = 240and o, = 350, what is the probability that samples of size n, = 40 and n, = 35 will yielda value of x - X2 as large as or larger than 12?%3D5.4.3 For a population of 17-year-old boys and 17-year-old girls, the means and standard devia-tions, respectively, of their subscapular skinfold thickness values are as follows: boys, 9.7and 6.0; girls, 15.6 and 9.5. Simple random samples of 40 boys and 35 girls are selectedfrom the populations. What is the probability that the difference between sample means(9oysXgirlswill be greater than 10?

Name: please help with 5.4.3 541 The study cited in Exercises 5.3.1 and 5.3.
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Description: please help with 5.4.3 541 The study cited in Exercises 5.3.1 and 5.3.2 gives the following data on serum cholesterollevels in U.S. females:PopulationAgeMeanStandard DeviationA20-2918337.2B30-3918934.7Use these estimates as the mean µ and standard de