The average score for games played in the NFL is 21.5 and the standard deviation is 8.9 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 of
2. x
3. x
4. ?
5. x
6. x
7. ~ N(,)
8. What is the distribution of
9. x
10. x
11. ?
12. x
13. x
14. ~ N(,)
15. P(
16. x
17. x
18. > 21.0801) =
19. Find the 64th percentile for the mean score for this sample size.
20. P(22.1801 <
21. x
22. x
23. < 23.6733) =
24. Q1 for the
25. x
26. x
27. distribution =
28. P(
29. x
30. x
31. > 171.8408) =
32. For part c) and e), is the assumption of normal necessary?NoYes

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