Bone loss by nursing mothers. Breast-feeding mothers secrete calcium into their milk

Chapter 0, Problem 14.25

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Bone loss by nursing mothers. Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers maylose bone mineral. Researchers measured the percent change in mineral contentof the spines of 47 mothers during three months of breast-feeding.7 Here are thedata:4.7 2.5 4.9 2.7 0.8 5.3 8.3 2.1 6.8 4.32.2 7.8 3.1 1.0 6.5 1.8 5.2 5.7 7.0 2.26.5 1.0 3.0 3.6 5.2 2.0 2.1 5.6 4.4 3.34.0 4.9 4.7 3.8 5.9 2.5 0.3 6.2 6.8 1.70.3 2.3 0.4 5.3 0.2 2.2 5.1(a) The researchers are willing to consider these 47 women as an SRS from thepopulation of all nursing mothers. Suppose that the percent change in thispopulation has standard deviation = 2.5%. Make a stemplot of the data to seethat they appear to follow a Normal distribution quite closely. (Dont forget thatyou need both a 0 and a 0 stem because there are both positive and negativevalues.)(b) Use a 99% confidence to estimate the mean percent change in thepopulation. Follow the four-step process in your answer.