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Carla conducted an experiment to determine if the there is a difference in mean body temperature for men and women. She found that the mean body temperature for men in the sample was 97.1 with a population standard deviation of 0.51 and the mean body temperature for women in the sample was 98.2 with a population standard deviation of 0.57. Assuming the population of body temperatures for men and women is normally distributed, calculate the 95% confidence interval and the margin of error for the mean body temperature for both men and women.
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Using complete sentences, explain what these confidence intervals mean in the context of the problem.
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