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Let x be a normally distributed random variable with=31 and =4.17. Find the z value for each of the following observed values of x: Round

Let x be a normally distributed random variable with=31 and =4.17. Find the z value for each of the following observed values of x: Round to TWO decimal places if needed. Show your work.

  1. X = 26
  2. X = 30
  3. X = 34.17
  4. d. X = 28.24
  5. X = 36.15

a. From the above, which response (a, b, c, d, e) is the most uncommon due to how far it is from the mean?

b. From the above, which response(s) are within one standard deviation of the mean? How do you know?

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