SOLUTION: 6. The mean pulse rate for adults is 72 beats per minute (www.healthepic.com) and let’s suppose that the standard deviation is 10. Find: a. ​The probability that a random

Algebra ->  Probability-and-statistics -> SOLUTION: 6. The mean pulse rate for adults is 72 beats per minute (www.healthepic.com) and let’s suppose that the standard deviation is 10. Find: a. ​The probability that a random      Log On


   



Question 727820: 6. The mean pulse rate for adults is 72 beats per minute (www.healthepic.com) and let’s suppose that the standard deviation is 10. Find:
a. ​The probability that a randomly chosen adult has a pulse rate over 80 assuming that the rates are normally distributed.
b. The probability that a random sample of 19 adults will have a mean pulse rate over 80.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The mean pulse rate for adults is 72 beats per minute (www.healthepic.com) and let’s suppose that the standard deviation is 10. Find:
a. ​The probability that a randomly chosen adult has a pulse rate over 80 assuming that the rates are normally distributed.
z(80) = (80-72)/10 = 0.8
P(x > 80) = P(z > 0.8) = normalcdf(0.8,100) = 0.2119
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b. The probability that a random sample of 19 adults will have a mean pulse rate over 80.
z(80) = (80-72)/[10/sqrt(19)] = 3.2985
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P(x-bar > 80) = P(z > 3.2985) = 0.0004861
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Cheers,
Stan H.
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