The average score for games played in the NFL is 21.7 and the standard deviation is 9 points. 50 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 b. What is the distribution of Σz? Σz-N c. P(Z < 21.6908) -
The average score for games played in the NFL is 21.7 and the standard deviation is 9 points. 50 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 b. What is the distribution of Σz? Σz-N c. P(Z < 21.6908) -
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Transcribed Image Text:The average score for games played in the NFL is 21.7 and the standard deviation is 9 points. 50 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
b. What is the distribution of Σa? Σz-N
c. P(Z < 21.6908) =
d. Find the 65th percentile for the mean score for this sample size.
e. P(21.6908 << 22.4364) =
f. Q1 for the distribution =
3. Ρι Στ « 1124.54) =
I <
h. For part c) and e), is the assumption of normal necessary? No Yes
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Step 1: Given information
average score=21.7, n=50, standard deviations=9
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Follow-up Question
part 2 marked as wrong result 1.2828)
(a) X¯�¯ ~N(21.7000,1.2828)
also part 2 questions are attached
Transcribed Image Text:d. Find the 65th percentile for the mean score for this sample size.
e. P(21.6908 << 22.4364) =
f. Q1 for the distribution =
Solution
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