Assuming cholesterol data indicated a mean total cholesterol level for adult persons 20 years of age and older in the u.s. was 190 mg/dl; with a known standard deviation of 30 mg/dl. Use a known standard deviation of 30 mg/dl and the underlying population is normally distributed. What is the probability that a randomly selected sample of 25 adults will have a mean level < 180?

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Asked Dec 12, 2019
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Assuming cholesterol data indicated a mean total cholesterol level for adult persons 20 years of age and older in the u.s. was 190 mg/dl; with a known standard deviation of 30 mg/dl. Use a known standard deviation of 30 mg/dl and the underlying population is normally distributed. What is the probability that a randomly selected sample of 25 adults will have a mean level < 180?

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The probability that a randomly selected sample of 25 adults will have a mean level < 180  is obtained below:

From the given information X follows normal ...

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