Answered: 4.86 A patient visits her doctor with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

For REFERENCE

4.86 A patient visits her doctor with concerns about her blood pressure. If the systolic blood
pressure exceeds 150, the patient is considered to have high blood pressure, and medication may
be prescribed. The problem is that there is a considerable variation in a patient’s systolic blood
pressure readings during a given day.
a. If a patient’s systolic readings during a given day have a normal distribution with
a mean of 160 mm mercury and a standard deviation of 20 mm, what is the probability that a single measurement will fail to detect that the patient has high blood
pressure?
b. If five measurements are taken at various times during the day, what is the probability that the average blood pressure reading will be less than 150 and hence fail
to indicate that the patient has a high blood pressure problem?
c. How many measurements would be required so that the probability of failing to
detect that the patient has high blood pressure is at most 1%.

4.82 Based on the 1990 census, the number of hours per day adults spend watching television is
approximately normally distributed with a mean of 5 hours and a standard deviation of 1.3 hours.
a. What proportion of the population spends more than 7 hours per day watching
television?
b. In a 1998 study of television viewing, a random sample of 500 adults reported that
the average number of hours spent viewing television was greater than 5.5 hours
Referenc
4.18 Exercises
225
per day. Do the results of this survey appear to be consistent with the 1990 census?
(Hint: If the census results are still correct, what is the probability that the average
viewing time would exceed 5.5 hours?)

QUESTION 7
4.82a: What is the requested proportion?
Hint: L-08 page 4 (Ex. 4.64b)
1. 0.0618
II. 0.1532
III. 0.9382
IV. 0.0525

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution