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# Empirical Rule for Normal Distribution

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Consider that measurement 2 (M2) in a random sample of 1000 controls from the Disease Y study population follows the normal distribution. The sample mean of M2 is 90 and 95% of the sample observation falls within 70 and 110. Calculate the sample standard deviation and standard error of the sample mean and intepret.

I would really appreciate some ideas of how to go about calculate sd and se from such a statement.

https://brainmass.com/statistics/normal-distribution/empirical-rule-for-normal-distribution-394388

#### Solution Preview

Hi there,

For this question, I believe that you need to use the empirical rule to determine the standard deviation. The empirical states the following for a normal distribution:

- 68% of the area of the curve will be ...

#### Solution Summary

This solution helps with a normal distribution problem.

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