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April 30, 2024

Statistics 2 Take Home problems

STAT 2021 — TEST 3 — NAME___________________________________ 70 Points Chapters 9 Two Sample Inference Assigned: Wednesday February 28, 2024 Due: Monday March 4, 2024 PROBLEM #1 — Listed below are six randomly selected heights of women and men from a recent epidemiological study. Women Men 160 190 168 170 167 180 153 180 160 177 177 179 Use a 5% significance level to test the claim that women have heights with a mean that is less than the mean height of men. If you find evidence that the claim is true, follow up with an appropriate confidence interval and interpretation. (35 pts) PROBLEM #2 — Listed below are results from subjects tested for visual acuity in the right eye and left eye (based on data from the National Center for Health Statistics). Lower values represent better vision. Right Eye Left Eye 30 20 25 25 20 25 20 20 25 25 50 40 20 20 20 20 25 20 25 30 Use a 0.05 significance level to test the claim of a difference in visual acuity between the right and left eyes. If you find evidence that the claim is true, follow up with an appropriate confidence interval and interpretation. (35 pts)

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