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The average score for games played in the NFL is 20.9 and the standard deviation is 9.3 points. 18 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of x? x ~ N( 20.9 9.3 X) 0 b. What is the distribution of Σx? Σ - N( X 376.2, 1556.8 x) o c. P( 23.112) = 0.8438✔ 0 < d. Find the 60th percentile for the mean score for this sample size. 21.469 x e. P(21.512 < x < 22.196) = 0.1121 OF f. Q1 for the distribution = 19.4204 X g. Pa x > 423.216) = 0.1170 h. For part c) and e), is the assumption of normal necessary? No Yes می

The average score for games played in the NFL is 20.9 and the standard deviation is 9.3 points. 18 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of x? x ~ N( 20.9 9.3 X) 0 b. What is the distribution of Σx? Σ - N( X 376.2, 1556.8 x) o c. P( 23.112) = 0.8438✔ 0 < d. Find the 60th percentile for the mean score for this sample size. 21.469 x e. P(21.512 < x < 22.196) = 0.1121 OF f. Q1 for the distribution = 19.4204 X g. Pa x > 423.216) = 0.1170 h. For part c) and e), is the assumption of normal necessary? No Yes می

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average score for games played in the NFL is 20.9 and the standard deviation is 9.3 points. 18 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of ? - N 20.9 9.3 X OB b. What is the distribution of Σx? Σ - N( X 376.2, 1556.8 X c. P(23.112) = 0.8438✔ d. Find the 60th percentile for the mean score for this sample size. 21.469 x e. P(21.512 < x < 22.196) = 0.1121 f. Q1 for the distribution = 19.4204 X g. P(x > 423.216) = 0.1170 h. For part c) and e), the assumption of normal Yes o necessary? No
Transcribed Image Text:The average score for games played in the NFL is 20.9 and the standard deviation is 9.3 points. 18 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of ? - N 20.9 9.3 X OB b. What is the distribution of Σx? Σ - N( X 376.2, 1556.8 X c. P(23.112) = 0.8438✔ d. Find the 60th percentile for the mean score for this sample size. 21.469 x e. P(21.512 < x < 22.196) = 0.1121 f. Q1 for the distribution = 19.4204 X g. P(x > 423.216) = 0.1170 h. For part c) and e), the assumption of normal Yes o necessary? No
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