MATH 225N Week 5 Assignment; Understanding Normal Distribution

  • MATH 225N Week 5 Assignment; Understanding Normal Distribution
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Institution MATH 225N Statistical Reasoning for the Health Sciences
Contributor Brianna
  1. Question: Lexie averages 149 points per bowling game with a standard deviation of 14 points. Suppose Lexie's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then XN(149,14).
  2. Question: Suppose XN(18,2), and x=22. Find and interpret the z-score of the standardized normal random variable.
  3. Question: Suppose XN(12.5,1.5), and x=11. Find and interpret the z-score of the standardized normal random variable.
  4. Isabella averages 17 points per basketball game with a standard deviation of 4 points. Suppose Isabella's points per basketball game are normally distributed. Let X= the number of points per basketball game. Then XN(17,4).
  5. Question: Suppose XN(13.5,1.5), and x=9. Find and interpret the z-score of the standardized normal random variable
  6. Question: Suppose XN(10,0.5), and x=11.5. Find and interpret the z-score of the standardized normal random variable.
  7. Question: Annie averages 23 points per basketball game with a standard deviation of 4 points. Suppose Annie's points per basketball game are normally distributed. Let X= the number of points per basketball game. Then XN(23,4).
  8. Question: Suppose XN(9,1.5), and x=13.5. Find and interpret the z-score of the standardized normal random variable.
  9. Question: Rosetta averages 148 points per bowling game with a standard deviation of 14 points. Suppose Rosetta's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then XN(148,14).
  10. Question: Suppose XN(5.5,2), and x=7.5.
  11. Question: Jerome averages 16 points a game with a standard deviation of 4 points. Suppose Jerome's points per game are normally distributed. Let X = the number of points per game. Then XN(16,4). 
  12. Question: John averages 58 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose John's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then XN(58,11).
  13. Question: Suppose XN(16.5,0.5), and x=16.
  14. Question: Gail averages 64 words per minute on a typing test with a standard deviation of 9.5 words per minute. Suppose Gail's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then XN(64,9.5).
  15. Question: William averages 58 words per minute on a typing test with a standard deviation of 10.5 words per minute. Suppose William's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then XN(58,10.5).
  16. Question: Hugo averages 22 points per basketball game with a standard deviation of 4 points. Suppose Hugo's points per basketball game are normally distributed. Let X= the number of points per basketball game. Then XN(22,4).
  17. Question: In 2014, the CDC estimated that the mean height for adult women in the U.S. was 64 inches with a standard deviation of 4 inches. Suppose X, height in inches of adult women, follows a normal distribution. Let x=68, the height of a woman who is 5' 8" tall. Find and interpret the z-score of the standardized normal random variable.
  18. Question: Suppose XN(16.5,2), and x=18.5.
  19. Question: Suppose XN(6.5,1.5), and x=3.5.
  20. Question: Suppose XN(20,2), and x=26.
  21. Question: Isabella averages 152 points per bowling game with a standard deviation of 14.5 points. Suppose Isabella's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then XN(152,14.5).

 

Instituition / Term
Term Summer 2020
Institution MATH 225N Statistical Reasoning for the Health Sciences
Contributor Brianna
 

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