Question

The average score for games played in the NFL is 21 and the standard deviation is 9.3 points. 10 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¯ < 20.9887) =
4. Find the 70th percentile for the mean score for this sample size.
5. P(20.5887 < ¯xx¯ < 23.3705) =
6. Q1 for the ¯xx¯ distribution =
7. P(∑x∑x < 183.887) =
8. For part c) and e), is the assumption of normal necessary? YesNo

Answer 1

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