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(See Steps) A population forms a normal distribution with a mean of µ=75 and a standard deviation of σ=20. Sketch the distribution of sample means for sample

Question: A population forms a normal distribution with a mean of µ=75 and a standard deviation of σ=20.

  1. Sketch the distribution of sample means for sample means for samples of n=25 from this population.
  2. What proportion of the sample means for n=25 have values less than 80? In other words, find p(M<80) for n=25.
  3. Sketch the distribution of sample means for samples of n=100.
  4. What proportion of the sample means for n=100 have values greater than 79? In other words, find p(M>79) for n=100.

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