anonymous
  • anonymous
According to National Health Survey, the heights of adult males in the United States are normally distributed with mean 69.0inches and standard deviation 2.8inches. (a) Estimate the probability that a randomly chosen adult American male is between 66inches and 75inches tall. (b) Estimate the percent of the adult American males that are taller than 6 feet 2inches.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
hi
kropot72
  • kropot72
Do you know how to find the z-scores for 66 inches and 75 inches?
anonymous
  • anonymous
no sorry..

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kropot72
  • kropot72
How are you expected to solve the question? Is it by using a statistical calculator or by using a standard normal distribution table?
anonymous
  • anonymous
by using a standard normal distribution table
kropot72
  • kropot72
The z-scores are found as follows: \[z _{1}=\frac{X- \mu}{\sigma}=\frac{66-69}{2.8}\] \[z _{2}=\frac{75-69}{2.8}\] When you have calculated the z-scores I can show you how to use them on a standard normal distribution table.
anonymous
  • anonymous
don't even know what z-score is. can you explain more about it please?
anonymous
  • anonymous
i might need to use improper integrals ?
anonymous
  • anonymous
or probability
kropot72
  • kropot72
The z-score is needed when using standardised tables such as those for the normal distribution. The z-score is the standardised value of a random variable. Standardisation is performed by subtracting the population mean and dividing the result by the standard deviation. So the z-score is given by: \[z=\frac{X- \mu}{\sigma}\]
anonymous
  • anonymous
ok so i got Z1= -1.0714 and Z2= 2.1428
anonymous
  • anonymous
and i don't know what to do next..
kropot72
  • kropot72
Use the table at the following link to find the cumulative probability for each of the z-scores. Then subtract the smaller probability value form the larger probability value to find the required probability. http://lilt.ilstu.edu/dasacke/eco148/ztable.htm
kropot72
  • kropot72
from*
kropot72
  • kropot72
@soobinkiki Can you find the probability values for z1 = -1.0714 and z2 = 2.1428 ?

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