A WHO study reported that in Canada, systolic blood pressure readings have a mea

Question

A WHO study reported that in Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading above 140 is considered high blood pressure. What is the z-score for a blood pressure reading of 140? If systolic blood pressure in Canada has a normal distribution, what proportion of Canadians suffers from high blood pressure? What proportion of Canadians has systolic blood pressure between 100 and 140? Find the systolic blood pressure of 99th percentile Find the systolic blood pressure such that only 1% of the population has an systolic bold pressure below it. A bottling company uses a machine to fill the bottles with olive oil. The bottles are designed to contain 475 milliliters (ml). In fact, the contents vary according to a normal distribution with a mean of 473 ml and standard deviation of 3 ml. What is the distribution, mean, and standard error of the sample mean of 16 randomly selected bottles. What is the probability that the mean of 16 bottles is less than 472 mI? What is the probability that the mean of 16 bottles is more than 474 ml? What is the probability that the mean of 100 bottles is less than 472 ml? What is probability that a randomly chosen bottle has less than 472 ml?

Explanation / Answer

1. a. z score=x-mean/sd=140-121/60=0.3167

b. P(z>0.3167)=0.3757

c. P(100<x<140)=P(-0.35<z<0.3167)=0.2611

d.  Find the percentile from the standard normal table.
P( z < 0.99 )=2.327

z=x-121/60=2.327

so x=260.62

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