AVS Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510 points and a standard deviation of 345.1 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 44. 1. Describe the probability distribution of X and state its parameters μ and σ: X~ unknown (1510,o=345.1 and find the probability that the SAT score of a randomly selected student is between 1007 and 1670
AVS Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510 points and a standard deviation of 345.1 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 44. 1. Describe the probability distribution of X and state its parameters μ and σ: X~ unknown (1510,o=345.1 and find the probability that the SAT score of a randomly selected student is between 1007 and 1670
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![✔ Question 3
INS
LVS
Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510
points and a standard deviation of 345.1 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 44.
1. Describe the probability distribution of X and state its parameters μ and σ:
X~ unknown
(1510,o=345.1
and find the probability that the SAT score of a randomly selected student is between 1007 and 1670
points.
0.6051 x (Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
the sample size is large (n>30) although the distribution of the original population is unknown
to describe the probability distribution of X and state its parameters and o: (Round the answers to 1
decimal place)
X~N
(PX 1510, 52.0✔
and find the probability that the average SAT score of a sample of 44 randomly selected students is less
than 1385 points.
0.0082✔ (Round the answer to 4 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbab873e3-c9d9-439d-9721-884c57f8a4bc%2F1dac78c4-68e0-4be9-8cde-8e895d4e3d9d%2Fsju0j6a_processed.png&w=3840&q=75)
Transcribed Image Text:✔ Question 3
INS
LVS
Historically, the SAT score of a randomly selected student has an unknown distribution with a mean of 1510
points and a standard deviation of 345.1 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 44.
1. Describe the probability distribution of X and state its parameters μ and σ:
X~ unknown
(1510,o=345.1
and find the probability that the SAT score of a randomly selected student is between 1007 and 1670
points.
0.6051 x (Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
the sample size is large (n>30) although the distribution of the original population is unknown
to describe the probability distribution of X and state its parameters and o: (Round the answers to 1
decimal place)
X~N
(PX 1510, 52.0✔
and find the probability that the average SAT score of a sample of 44 randomly selected students is less
than 1385 points.
0.0082✔ (Round the answer to 4 decimal places)
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