Question

1. A set of test scores is normally distributed with a mean of 76 points and a standard deviation of 8 points. Round your answers to the nearest percentile.

a. A student with a score of 76 points would be in the____th percentile.
b. A student with a score of 68 points would be in the ____th percentile.
c. A student with a score of 95 points would be in the_____th percentile.

2. Which of the following statements are TRUE about the normal distribution? Check all that apply.

a. The mean corresponds to the z-score of 1.
b. A z-score is the number of standard deviations a specific data value is from the mean of the distribution.
c. The area to the left of a z-score plus the area to the right of that same z-score will always equal 1.
d. The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean.
e. A data value with z-score = -1.5 is located 1.5 standard deviations below the mean.

Answer 1

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David Lane normal distribution