# Question

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%.

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%.

## Answer to relevant Questions

Critical key-entry errors in the data processing operation of a large district bank occur approximately .1% of the time. If a random sample of 10,000 entries is examined, determine the following: a. The expected number of ...A marketing research firm advises a new client that approximately 15% of all persons sent a sweepstakes offer will return the mailing. Suppose the client sends out 10,000 sweepstakes offers. a. What is the probability that ...Refer to Example 5.4. Suppose an estimate of s is given by σ = 5 .75 a. If the level of confidence remains 99% but the desired width of the interval is reduced to 0.3, what is the necessary sample size? b. If the level of ...Refer to Exercise 5.24. Suppose a random sample of 100 students is selected yielding y-bar = 542 and s = 76. Is there sufficient evidence to conclude that the mean mathematics achievement level has been increased? Explain. Provide the rejection region based on a t- test statistic for the following situations: a. H0: μ ≥ 28 versus Hα: μ < 28 with n = 11, α = .05 b. H0: μ ≤ 28 versus Hα: μ > 28 with n = 21, α = .025 c. H0: μ ≥ ...Post your question

0