SOLUTION: A study found that the mean systolic blood pressure was 106 mm Hg. Assume that systolic blood pressure follows a normal distribution with a standard deviation of 8. A.) W

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Question 477770: A study found that the mean systolic blood pressure was 106 mm Hg. Assume that
systolic blood pressure follows a normal distribution with a standard deviation
of 8.
A.) What is the probability that a randomly selected systolic blood pressure
is between 98 and 122 mm Hg?
B.) Find the 97.5th percentile of systolic blood pressures. Interpret the
97.5th percentile.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

μ = 106  

σ = 8

A) z = -8/8 = 1  and z = 16/8 = 2  

P(-1 > z < 2) =  .9883    - .1587 = .8186 or 81.86%

              NORMSDIST(2)  NORMSDIST(-1)



B) 97.5 percentile  P = .975 the z = 1.96

  1.96 *8 + 106 =  = 121.68 or rounded up 122mm Hg

 97.5 % of the people have a systolic blood pressure less than 122 

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