[Solution Library] A normal population has mean 41 and standard deviation 5. For random samples of size 64 Describe the distribution of X̄ Find P(40< X̄ ≤45) Find


Question: A normal population has mean 41 and standard deviation 5. For random samples of size 64

  1. Describe the distribution of \(\bar{X}\)
  2. Find P(40< \(\bar{X}\) ≤45)
  3. Find the probability of getting sampling error of less than 2
  4. Was it important that the population was normally distributed? Explain.

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