1. Measuring blood pressure is a vital process in determining a patient's immediate health condition. If the systolic blood pressure exceeds 150mm Hg, the patient is considered to have high blood pressure and medication may be prescribed. Assume that a patient's systolic blood pressure reading during a given day follows a normal distribution with a mean of 160mm Hg and a standard deviation of 20mm Hg. (a) If 5 readings are taken at various times during the day, determine the probability that the average blood pressure reading will be less than 150mm Hg and hence, fail to indicate that the patient has a high blood pressure problem. (b) Determine the number of readings required so that the probability is at most 1% of failing to detect that a patient has high blood pressure.
1. Measuring blood pressure is a vital process in determining a patient's immediate health condition. If the systolic blood pressure exceeds 150mm Hg, the patient is considered to have high blood pressure and medication may be prescribed. Assume that a patient's systolic blood pressure reading during a given day follows a normal distribution with a mean of 160mm Hg and a standard deviation of 20mm Hg. (a) If 5 readings are taken at various times during the day, determine the probability that the average blood pressure reading will be less than 150mm Hg and hence, fail to indicate that the patient has a high blood pressure problem. (b) Determine the number of readings required so that the probability is at most 1% of failing to detect that a patient has high blood pressure.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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