Question

The average score for games played in the NFL is 21.5 and the standard deviation is 9.3 points. 46 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¯ > 20.9432) =
4. Find the 74th percentile for the mean score for this sample size.
5. P(21.9432 < ¯xx¯ < 23.3856) =
6. Q1 for the ¯xx¯ distribution =
7. P(∑x∑x < 912.7872) =
8. For part c) and e), is the assumption of normal necessary? No Yes

Answer 1