Which of the following statements are TRUE about the normal distribution? Check all that apply. A z-score is the number of standard deviations a specific data value is from the mean of the distribution. A data value with z-score = -1.5 is located 1.5 standard deviations below the mean. The mean corresponds to the z-score of 1. The area to the left of a z-score plus the area to the right of that same z-score will always equal 1. The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. 2.For a standard normal distribution, find: P(z < c) = 0.0604 Find c rounded to four decimal places.

Question
10. Which of the following statements are TRUE about the normal distribution? Check all that apply.
  • A z-score is the number of standard deviations a specific data value is from the mean of the distribution.
  • A data value with z-score = -1.5 is located 1.5 standard deviations below the mean.
  • The mean corresponds to the z-score of 1.
  • The area to the left of a z-score plus the area to the right of that same z-score will always equal 1.
  • The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean.

2.For a standard normal distribution, find:

P(z < c) = 0.0604

Find c rounded to four decimal places.

 

 

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