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Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones,...

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Basic Math

Breast-feeding mothers secrete calcium into their milk. Some ofthe calcium may come from their bones, so mothers may lose bonemineral. Researchers measured the percent change in mineral contentof the spines of 47 mothers during three months of breast-feeding.The sample mean is -3.587%. Let us assume that these 47 women as anSRS from the population of all nursing mothers. Suppose that thepercent change in this population has standard deviation 2.5%.

The hypothesized value ?0=?2.7% falls inside this confidenceinterval. Carry out the z-test for H0:?=?2.7% against the two-sidedalternative. Show that the test is not significant at the 1%level.

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