ne average score for games played in the NFL is 21.3 and the standard deviation is 8.9 points. 49 gam- re randomly selected. Round all answers to 4 decimal places where possible and assume a normal stribution. a. What is the distribution of ? a N( 21.3 8.9 b. What is the distribution of x? x - N( c. P(i > 21.6929) = %3D d. Find the 63th percentile for the mean score for this sample size. e. P(21.5929 < I < 22.4357) = f. Q1 for the i distribution = g. P( x < 1013.9521) = h. For part c) and e), is the assumption of normal necessary? O YesO No

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The average score for games played in the NFL is 21.3 and the standard deviation is 8.9 points. 49 games
re randomly selected. Round all answers to 4 decimal places where possible and assume a normal
listribution.
a. What is the distribution of a? N( 21.3
8.9
b. What is the distribution of x?
c. P( > 21.6929) =
d. Find the 63th percentile for the mean score for this sample size.
e. P(21.5929 < ¤ < 22.4357) =
%3D
f. Q1 for the î distribution =
%3D
g. P( x < 1013.9521) =
h. For part c) and e), is the assumption of normal necessary? O YesO No
lint:
ome Helpful Videos:
• The Central Limit Theorem for Sums
Finding the Sampling Distribution D
Transcribed Image Text:The average score for games played in the NFL is 21.3 and the standard deviation is 8.9 points. 49 games re randomly selected. Round all answers to 4 decimal places where possible and assume a normal listribution. a. What is the distribution of a? N( 21.3 8.9 b. What is the distribution of x? c. P( > 21.6929) = d. Find the 63th percentile for the mean score for this sample size. e. P(21.5929 < ¤ < 22.4357) = %3D f. Q1 for the î distribution = %3D g. P( x < 1013.9521) = h. For part c) and e), is the assumption of normal necessary? O YesO No lint: ome Helpful Videos: • The Central Limit Theorem for Sums Finding the Sampling Distribution D
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