The average score for games played in the NFL is 21.9 and the standard deviation is 9.3 points. 49 games arerandomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution.a. What is the distribution of a? - N(b. What is the distribution of æ? a - N(c. P(i < 20.3071) =%3Dd. Find the 60th percentile for the mean score for this sample size.e. P(20.0071 < i < 23.2643) =%3Df. Q1 for the a distribution =g. P > 999.9479) =%3Dh. For part c) and e), is the assumption of normal necessary?Yes NoHint:Some Helpful Videos:• The Central Limit Theorem for Sums 2Finding the Sampling Distribution 2• Finding the Sampling Distribution for a Sum 2• Finding a Probability Using the Central Limit Theorem• Finding a Sample Mean Given its PercentileHintSubmit QuestionPves lennifer.pdfOSS

Given, Mean, μ = 21.9 Standard deviation, σ = 9.3 Sample size, n = 49 a) Average -x = 21.9 σ(-x) = σ/n = 9.3/49 = 1.3286 -x ~ N(μ, σ2) -x ~ N(21.9, 1.32862) b) ∑x = -x * n = 21.9*49 = 1073.1 σx = n*σ = 49*9.3 = 65.1 ∑x ~ N(1073.1, 65.12)c) P(-x < 20.3071) = P(x¯-μσ/n < 20.3071-21.99.3/49) = P(Z < -1.1990) = 0.115 As per answering guidelines, I have answered the first three subparts. Please post the unanswered questions separately.

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The average score for games played in the NFL is 21.9 and the standard deviation is 9.3 points. 49 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of a? - N b. What is the distribution of æ? - N( c. P(E < 20.3071) -

The average score for games played in the NFL is 21.9 and the standard deviation is 9.3 points. 49 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of a? - N b. What is the distribution of æ? - N( c. P(E < 20.3071) -

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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