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The score on a standardized test for a certain year is modeled using the normal distribution shown below. The mean of the distribution is 71.5

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The score on a standardized test for a certain year is modeled using the normal distribution shown below. The mean of the distribution is 71.5 points and the standard deviation is 5.1 points. In the figure, I is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, I, and W. Percentage of total area shaded: (Choose one) X ? 55 60 65 70 75 80 85 90 Test scoreThe batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 70 hours. Assuming that the lifetimes are normally distributed, complete the following statements. (a) Approximately ? v of the batteries have lifetimes between 650 hours and 1070 hours. (b) Approximately 95% of the batteries have lifetimes between ] hours and hours . X S

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