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2 (25 points) The distribution of hours of sleep per school night, among high school seniors, is found to be Normally distributed, with a mean

2 (25 points) The distribution of hours of sleep per school night, among high school seniors, is found to be Normally distributed, with a mean of 6.6 hours and a standard deviation of 1.3 hours. Use this information and the 68-95-99.7 rule to answer the following questions: 1. What percentage of high school seniors sleep more than 7.9 hours? Less than 4 hours? 2. What percentage of high school seniors sleep more than 9.33 hours? 3. What range contains the middle 68% of hours slept per weeknight by high school seniors? Justify your calculations. 2

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