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The systolic blood pressure for female diabetics between the ages of 30 and 34 has mean...

The systolic blood pressure for female diabetics between the ages of 30 and 34 has mean 131 mmHg and standard deviation = 12 mmHg.


a. Do you have enough information to compute (at least approximately) the proportion of individuals in this population who have blood pressure greater than 150 mmHg? If so, provide this value. If not, explain why.


b. Do you have enough information to compute (at least approximately) the probability that the average blood pressure in a random sample of 80 individuals from this population will be greater than 133 mmHg? If so, provide this value and a justification. If not, explain why

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Answer #1

Here we have

(a)

No we don't have enough information to calculate this probability. 'We don't know anything about the shape of distribution so normal distribution can not be assumed.

(b)

The z-score for is

The probability that the average blood pressure in a random sample of 80 individuals from this population will be greater than 133 mmHg is

Answer: 0.0681

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