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 N 20.9 ~ 9.3 X) 0 b. What is the distribution of x? Σx - 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 <<22.196) = 0.1121 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

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A B D ONLY PLEASE
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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