The average score for games played in the NFL is 21.5 and the standard deviation is 9.2 points. 8 games are randomly selected

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

The average score for games played in the NFL is 21.5 and the standard deviation is 9.2 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 ¯xx¯? ¯xx¯ ~ N(,)
2. What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
3. P(¯xx¯ > 21.021) = 
4. Find the 80th percentile for the mean score for this sample size. 
5. P(21.321 < ¯xx¯ < 24.1264) = 
6. Q3 for the ¯xx¯ distribution = 
7. P(∑x∑x < 174.568) = 
8. For part c) and e), is the assumption of normal necessary? NoYes

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