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In: Statistics and Probability

1. For a certain population, systolic BP is normally distributed with μ=122 and σ=14. Hypertension is...

1. For a certain population, systolic BP is normally distributed with μ=122 and σ=14. Hypertension is defined as systolic BP over 150 mmHg.

a. what is the z-score for systolic BP of 150, given this information? z=

b. What percentage of the population is hypertensive? you may use the empirical rule =

2. Continuing from the previous question where BP follows a normal distribution with μ=122 and σ=14, suppose we randomly sample n=194 individuals from this population. What is the probability that the sample mean of systolic BP obtained from this sample will be between 135 and 146mmHg? It is recommended to first compute the standard error, then compute the z-scores for 135 and 146, then compute the difference between the cumulative probabilities associated with these two z-scores

a. 0.823

b. 0.133

c. 0.841

d. 0.957

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Expert Solution

orchestra answered 1 year ago
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