To assess the impact of oral contraceptive use on bone mineral density (BMD), researchers in Canada carried out a study comparing BMD for women who had used oral contraceptives for at least 12 months to BMD for women who had never used oral contraceptives. The data on BMD (in grams per centimeter) are given below:
Never used | 0.82 | 0.94 | 0.96 | 1.31 | 0.94 | 1.21 | 1.26 | 1.09 | 1.13 | 1.14 |
used | 0.94 | 1.09 | 0.97 | 0.98 | 1.14 | 0.85 | 1.30 | 0.89 | 0.87 | 1.01 |
Use the given information and a significance level of 0.02 to determine whether there is evidence that women who use oral contraceptives have lower mean BMD then women who have never used oral contraceptives. Use the four step process and round each answer to the nearest fourth decimal space.
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