Normal distribution and z-scores

1. 1.
   Scores are normally distributed with mean 70 and standard deviation 2. What is the z-score of 68?
2. 2.
   Scores are normally distributed with mean 50 and standard deviation 15. About what percentage of scores lie between 35 and 65?
3. 3.
   Scores are normally distributed with mean 70 and standard deviation 15. About what percentage of scores lie between 40 and 100?
4. 4.
   Scores are normally distributed with mean 70 and standard deviation 20. About what percentage of scores lie between 30 and 110?
5. 5.
   Scores are normally distributed with mean 70 and standard deviation 4. What is the z-score of 62?
6. 6.
   Scores are normally distributed with mean 70 and standard deviation 5. What is the z-score of 82.5?
7. 7.
   Scores are normally distributed with mean 70 and standard deviation 2. About what percentage of scores lie between 68 and 72?
8. 8.
   Scores are normally distributed with mean 500 and standard deviation 20. What is the z-score of 470?
9. 9.
   Scores are normally distributed with mean 100 and standard deviation 20. What is the z-score of 130?
10. 10.
    Scores are normally distributed with mean 50 and standard deviation 2. About what percentage of scores lie between 48 and 52?
11. 11.
    Scores are normally distributed with mean 50 and standard deviation 2. What is the z-score of 49?
12. 12.
    Scores are normally distributed with mean 100 and standard deviation 20. About what percentage of scores lie between 80 and 120?
13. 13.
    Scores are normally distributed with mean 100 and standard deviation 20. About what percentage of scores lie between 60 and 140?
14. 14.
    Scores are normally distributed with mean 60 and standard deviation 2. What is the z-score of 64?
15. 15.
    Scores are normally distributed with mean 120 and standard deviation 15. What is the z-score of 127.5?
16. 16.
    Scores are normally distributed with mean 500 and standard deviation 15. About what percentage of scores lie between 485 and 515?
17. 17.
    Scores are normally distributed with mean 50 and standard deviation 20. About what percentage of scores lie between 10 and 90?
18. 18.
    Scores are normally distributed with mean 500 and standard deviation 15. What is the z-score of 522.5?
19. 19.
    Scores are normally distributed with mean 120 and standard deviation 10. What is the z-score of 125?
20. 20.
    Scores are normally distributed with mean 120 and standard deviation 20. What is the z-score of 140?

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