normal distribution

Statistics
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For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of  13.1. If 36 women are selected at random from a population  of 300 women aged 18-24, find the probability that their mean systolic blood pressure will be less than 110 mm Hg. Assume that the sampling is done without replacement and use a finite population correction factor with N = 300.    

Jul 3rd, 2015

Thank you for the opportunity to help you with your question!

  Hypertension is  defined as systolic blood pressure of140 or above.
z-score for 100 is (100-114.8)/13.1 = -1.13 from the tables

z-score for 125 is (125-114.8)/13.1 = 0.779 from the tables

substituting, you get
P(100<X<125)=P(-1.13<Z<0.779)=0.653

answer= 0.653

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 3rd, 2015

These are mu options for answers: 0.0146, 0.3483, 0.35570.0096.

I didn't get any of those and why I asked. What am I am I missing?

Jul 3rd, 2015

answer is 0.3557

Jul 3rd, 2015

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Jul 3rd, 2015
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