Question

The average score for games played in the NFL is 20.8 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¯ > 19.7432) = _____
4. Find the 62th percentile for the mean score for this sample size. _____
5. P(18.8432 < ¯xx¯ < 21.8856) = _____
6. Q3 for the ¯xx¯ distribution = _____
7. P(∑x∑x > 986.3872) = _____
8. For part c) and e), is the assumption of normal necessary? Yes or No _____

Answer 1