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In a certain population, body weights are normally distributed with a mean of 152 pounds and a standard deviation of 26 pounds. How many people must be surveyed if we want to estimate the percentage who weigh more than 180 pounds? Assuming that we want 96% confidence that the error is no more than 2 percentage points. I have no idea how to do this.

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In a certain population, body weights are normally distributed with a mean of 152 pounds and a standard deviation of 26 pounds. How many people must be surveyed if we want to estimate the percentage who weigh more than 180 pounds? Assuming that we want 96% confidence that the error is no more than
2 percentage points. I have no idea how to do this.
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