The average score for games played in the NFL is 21.3 and the standard deviation is 9.2 points. 41 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal...

The average score for games played in the NFL is 21.3 and the standard deviation is 9.2 points. 41 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.

1. What is the distribution of ¯x? x¯ ~ N( , )


2. What is the distribution of ∑x ? ∑x ~ N( , )


3. P(¯x< 21.1448)="">


4. Find the 78th percentile for the mean score for this sample size. _____


5. P(21.9448 < x¯="">< 22.3184)="">


6. Q3 for the x¯ distribution =


7. P(∑x < 817.7368)="">