anonymous
  • anonymous
I need help with this question Anyone please....
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Assume that the population of heights of male college students is approximately normally distributed with mean  of 72.15 inches and standard deviation  of 6.39 inches. A random sample of 96 heights is obtained. Show all work. (A) Find P(x>73.25) (B) Find the mean and standard error of the xˉ distribution (C) Find P(xˉ > 73.25) (D) Why is the formula required to solve (A) different than (C)?
jim_thompson5910
  • jim_thompson5910
for A and C, you need a calculator or a table
jim_thompson5910
  • jim_thompson5910
for part b), the mean is xbar = 72.15 (since the mean of the xbar distribution is the population mean) and the standard error is sigma/sqrt(n) = 6.39/sqrt(96) = 0.6521766

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jim_thompson5910
  • jim_thompson5910
in part D, the difference between the two formulas comes from the fact that the standard deviations are different (in the population, it's 6.39, but in the xbar distribution, it's 0.6521766)
anonymous
  • anonymous
okay thanks I see what your saying now
jim_thompson5910
  • jim_thompson5910
np

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