d. Find the 77th percentile for the mean score for this sample size. e. P(21.9204 < ữ < 22.6932) = f. Q3 for the ã distribution = g. P(x < 986.418) %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Please answer D, E, F, & G. 

The average score for games played in the NFL is 21.6 and the standard
deviation is 9.3 points. 45 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( 21.6
1.386C
b. What is the distribution of > x? > x - N( 972
62.403 X
c. P(ī < 23.6204) = 0.9278 V
d. Find the 77th percentile for the mean score for this sample size.
e. P(21.9204 < ī < 22.6932)
f. Q3 for the ī distribution =
g. PΣ 986.418)-
h. For part c) and e), is the assumption of normal necessary?O NoO Yes
Transcribed Image Text:The average score for games played in the NFL is 21.6 and the standard deviation is 9.3 points. 45 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( 21.6 1.386C b. What is the distribution of > x? > x - N( 972 62.403 X c. P(ī < 23.6204) = 0.9278 V d. Find the 77th percentile for the mean score for this sample size. e. P(21.9204 < ī < 22.6932) f. Q3 for the ī distribution = g. PΣ 986.418)- h. For part c) and e), is the assumption of normal necessary?O NoO Yes
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