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The average score for games played in the NFL is 22.1 and the standard deviation is 9.3 points. 8 games are randomly selected. Round all

The average score for games played in the NFL is 22.1 and the standard deviation is 9.3 points. 8 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.

  1. What is the distribution ofxx?xx~ N( , )
  2. What is the distribution ofx x?x x~ N( , )
  3. P(xx< 25.668) =
  4. Find the 79th percentile for the mean score for this sample size.
  5. P(19.368
  6. Q1 for thexxdistribution =
  7. P(xx< 158.144) =
  8. For part c) and e), is the assumption of normal necessary?No or yes

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