Listed below are heights (cm) randomly selected from the sample of women and heights (cm) randomly selected from the sample of men (from Data Set 1 "Body Data" in Appendix B). Use a 95% confidence level to estimate the magnitude of the difference between the mean height of women and the mean height of men.

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Women: 160.3 167.7 166.9 153.3 160.0 177.3 169.1 134.5 163.3 171.1 Men: 190.3 169.8 179.8 179.8 177.0 178.5 173.5 178.7 179.0 181.3