Answer:
Around 0.73% of adults in the USA have stage 2 high blood pressure
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 121 and standard deviation of 16.
This means that [tex]\mu = 121, \sigma = 16[/tex]
Around what percentage of adults in the USA have stage 2 high blood pressure
The proportion is 1 subtracted by the p-value of Z when X = 160. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 121}{16}[/tex]
[tex]Z = 2.44[/tex]
[tex]Z = 2.44[/tex] has a p-value of 0.9927.
1 - 0.9927 = 0.0073
0.0073*100% = 0.73%
Around 0.73% of adults in the USA have stage 2 high blood pressure
