Exercise B.5 on page 305 introduces a study examining the effect of diet cola consumption on calcium levels in women. A sample of 16 healthy women aged 18 to 40 were randomly assigned to drink 24 ounces of either diet cola or water. Their urine was collected for three hours after ingestion of the beverage and calcium excretion (in mg) was measured. The summary statistics for diet cola are xÌ…_C= 56.0 with s_C= 4.93 and n_C= 8 and the summary statistics for water are xÌ…_W= 49.1 with s_W= 3.64 and n_W= 8. Figure 6.26 shows dotplots of the data values. Test whether there is evidence that diet cola leaches calcium out of the system, which would increase the amount of calcium in the urine for diet cola drinkers. In Exercise B.5, we used a randomization distribution to conduct this test. Use a t-distribution here, after first checking that the conditions are met and explaining your reasoning. The data are stored in ColaCalcium.

Figrue 6.26

Exercise B.5 on page 305

CalciumArecent study examined the effect of diet cola consumption on calcium levels in women. A sample of 16 healthy women aged 18 to 40 were randomly assigned to drink 24 ounces of either diet cola or water. Their urine was collected for three hours after ingestion of the beverage and calcium excretion (in mg) was measured. The researchers were investigating whether diet cola leaches calcium out of the system, which would increase the amount of calcium in the urine for diet cola drinkers. The data are given in Table B.2 and stored in ColaCalcium.

Table B.2

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Diet cola Water 51 45 48 54 57 60 Calcium Drink Diet cola 50 62 48 55 58 61 58 56 Water 48 46 54 45 53 46 53 48