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A population of values has a normal distribution with μ=173.7μ=173.7 and σ=4.5σ=4.5. A random sample of...

A population of values has a normal distribution with μ=173.7μ=173.7 and σ=4.5σ=4.5. A random sample of size n=131n=131 is drawn.

  1. Find the probability that a single randomly selected value is between 174.4 and 174.8. Round your answer to four decimal places.
    P(174.4<X<174.8)=P(174.4<X<174.8)=
  2. Find the probability that a sample of size n=131n=131 is randomly selected with a mean between 174.4 and 174.8. Round your answer to four decimal places.
    P(174.4<M<174.8)=P(174.4<M<174.8)=  

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