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) About Me  (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