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The distribution of red blood cell counts is different for men and women in a certain population. For both, the distribution is approximately Normal. For

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The distribution of red blood cell counts is different for men and women in a certain population. For both, the distribution is approximately Normal. For men, the middle 95% range from 4.8 to 5.6 million cells per microliter, and for women, the middle 95% have red blood cell counts between 3.9 and 5.3 million cells per microliter. Complete parts (a) through (c) below. U U- The mean is |_l million. Since the mode of the Normal distribution is equal to its mean, the mean is equal to the distance between the boundary values for the middle 95%. Find the standard deviation for the men. Explain your reasoning. The standard deviation is million. The Empirical Rule states that about 95% of the data fall within W standard deviation(s) of the mean. The middle 95% of values spans standard deviaticn(s). The standard deviation is found by dividing the range of the middle 95% by . (Type integers or decimals rounded to two decimal places as needed.) b. What is the mean and the standard deviation of red blood cell counts for the women? Explain your reasoning. Find the mean for the women. Explain your reasoning. Select the correct choice below and ll in the answer box to complete your choice. (Round to two decimal places as needed.) O A- The mean is million. Since the mode of the Normal distribution is equal to its mean, the mean is the higher of the boundary values for the middle 95%. O 3- The mean is million. Since the Normal distribution is symmetric about its mean, the mean is the lower of the boundary values for the middle 95%. O C. The mean is million. Since the mode of the Normal distribution is equal to its mean, the mean is equal to the distance between the boundary values for the middle 95%. O D- The mean is million. Since the Normal distribution is symmetric about its mean, the mean is right in the middle, which is the average of the boundary values for the middle 95%. Find the standard deviation for the women. Explain your reasoning. The standard deviation is million. The Empirical Rule states that about 95% of the data fall within '7 standard deviation(s) of the mean. The middle 95% of values spans : standard deviation(s). The standard deviation is found by dividing the range of the middle 95% by . (Type integers or decimals rounded to two decimal places as needed.) c. Which gender shows more variation in red blood cell counts? Support your answer with appropriate statistics. 0 A. The women show more variation in their red blood cell counts because their standard deviation is greater than the men's. O B. The men show more variation in their red blood cell counts because their maximum value is greater than the women's. 0 C. The men show more variation in their red blood cell counts because their minimum value is greater than the women's. 0 D. The men show more variation in their red blood cell counts because their mean is greater than the women's

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