Question

. What information can you conclude from the area under a normal curve? b. What is...

. What information can you conclude from the area under a normal curve?

b. What is the difference between standard normal distribution and normal distributions?

c. Explain what a z-score is and its relationship to the characteristics of a normal curve.

d. Can a z-score be negative? Why or why not?

e. What is the 68-95-99.7 rule for normal distributions?

f. Explain how it can be used to answer questions about frequencies of data values in a normal distribution.

Psychology Exam. The scores on a psychology exam were normally distributed with a mean of 67 and a standard deviation of 8.

  1. About what percentage of scores were above 59?
  2. About what percentage of scores were below 83?
  3. A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing score? Approximately what percentage of the students failed?
  4. If 500 students took the exam, approximately how many students scored below 75?
  5. What is the standard score for an exam score of 67?
  6. What is the standard score for an exam score of 63?
  7. What is the standard score for an exam score of 55?
  8. What is the standard score for an exam score of 85?

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