The average score for games played in the NFL is 22.3 and the standard deviation is 9.1 points. 8 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)What is the distribution of ∑x∑x? ∑x∑x ~ N(,)P(¯xx¯ < 21.2741) = Find the 70th percentile for the mean score for this sample size. P(23.5741 < ¯xx¯ < 25.0087) = Q1 for the ¯xx¯ distribution = P(∑x∑x < 169.3928) = For part c) and e), is the assumption of normal necessary? YesNo

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average score for games played in the NFL is 22.3 and the standard deviation is 9.1 points. 8 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.

What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
P(¯xx¯ < 21.2741) =
Find the 70th percentile for the mean score for this sample size.
P(23.5741 < ¯xx¯ < 25.0087) =
Q1 for the ¯xx¯ distribution =
P(∑x∑x < 169.3928) =
For part c) and e), is the assumption of normal necessary? YesNo

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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