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 o: X~ unknown (μ= 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)

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Question 3
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 o:
X~ unknown
(μ=1510 ✓
345.1 ✓
and find the probability that the SAT score of a randomly selected student is between 1007 and 1670
points.
only answer boxed
0.6051 is wrong
2. Use the Central Limit Theorem
0.6051 x (Round the answer to 4 decimal places)
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 μ and ox: (Round the answers to 1
decimal place)
X
(Hx=1510x 52.0
and find the probability that the average SAT score of a sample of 44 randomly selected students is less
than 1385 points.
~IN
0.0082✓ (Round the answer to 4 decimal places)
Transcribed Image Text:Question 3 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 o: X~ unknown (μ=1510 ✓ 345.1 ✓ and find the probability that the SAT score of a randomly selected student is between 1007 and 1670 points. only answer boxed 0.6051 is wrong 2. Use the Central Limit Theorem 0.6051 x (Round the answer to 4 decimal places) 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 μ and ox: (Round the answers to 1 decimal place) X (Hx=1510x 52.0 and find the probability that the average SAT score of a sample of 44 randomly selected students is less than 1385 points. ~IN 0.0082✓ (Round the answer to 4 decimal places)
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