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Is it possible to find the percentage of adult women who expect to have a cholesterol level 208 mg/dL using the empirical rule?

Question

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Solution

To answer this question, we need more specific data. The empirical rule, also known as the 68-95-99.7 rule, applies to a normal distribution (bell curve), and it states that 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

However, to apply this rule, we need to know the mean (average) and standard deviation of the cholesterol levels of adult women. If we know these values, we can determine where a cholesterol level of 208 mg/dL falls within the distribution.

For example, if the mean cholesterol level is 200 mg/dL and the standard deviation is 15 mg/dL, a cholesterol level of 208 mg/dL is slightly more than half a standard deviation above the mean. According to the empirical rule, this would mean that a little over 30% (half of 68%) of adult women would have cholesterol levels below 208 mg/dL, and thus a little under 70% would have cholesterol levels above 208 mg/dL.

But without the specific mean and standard deviation values, we can't apply the empirical rule to find the percentage of adult women who expect to have a cholesterol level of 208 mg/dL.

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