Historically, the SAT score of a randomly selected student is normally distributed with a mean of 1518 points and a standard deviation of 351.7 points. Let X be the SAT score of a randomly selected student and let X be the average SAT score of a random sample of size 29. 1. Describe the probability distribution of X and state its parameters u and o: and find the probability that the SAT score of a randomly selected student is less than 1879 points. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem to describe the probability distribution of X and state its parameters Hx and ox: (Round the answers to 1 decimal place)

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Caution: Please be VERY careful about rounding on this question. Follow rounding directions exactly.
Historically, the SAT score of a randomly selected student is normally distributed with a mean of 1518
points and a standard deviation of 351.7 points. Let X be the SAT score of a randomly selected student
and let X be the average SAT score of a random sample of size 29.
1. Describe the probability distribution of X and state its parameters u and o:
and find the probability that the SAT score of a randomly selected student is less than 1879 points.
(Round the answer to 4 decimal places)
2. Use the Central Limit Theorem to describe the probability distribution of X and state its parameters
and
Or: (Round the answers to 1 decimal place)
U
||
and find the probability that the average SAT score of a sample of 29 randomly selected students is less
than 1332 points.
(Round the answer to 4 decimal places)
Transcribed Image Text:Caution: Please be VERY careful about rounding on this question. Follow rounding directions exactly. Historically, the SAT score of a randomly selected student is normally distributed with a mean of 1518 points and a standard deviation of 351.7 points. Let X be the SAT score of a randomly selected student and let X be the average SAT score of a random sample of size 29. 1. Describe the probability distribution of X and state its parameters u and o: and find the probability that the SAT score of a randomly selected student is less than 1879 points. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem to describe the probability distribution of X and state its parameters and Or: (Round the answers to 1 decimal place) U || and find the probability that the average SAT score of a sample of 29 randomly selected students is less than 1332 points. (Round the answer to 4 decimal places)
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