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 and σ: X~ Select an answer (f Select an answer T unknown TIX F N B and find the probability that the SAT score of a randomly selected student is between 1007 and 1670 points. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer Select an answer the sample size is small (n<30) and the distribution of the original population is unknown the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown 0= to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1 decimal place) X ~ Select an answer Select an answer B N F unknown v2 |(Hx= ox=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 2GP
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Question 3
AVS
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 and σ:
X~ Select an answer (H =
Select an answer
^
and find the probability that the SAT score of a randomly selected student is between 1007 and 1670
points.
unknown
Xª
N
σ=
(Round the answer to 4 decimal places)
B
N
F
unknown
2. Use the Central Limit Theorem
Select an answer
Select an answer
the sample size is small (n<30) and the distribution of the original population is unknown
the original population is normally distributed
the sample size is large (n>30) although the distribution of the original population is unknown
the distribution of the original population is unknown
X~ Select an answer (x=
Select an answer
IVS
to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1
decimal place)
,ox -
and find the probability that the average SAT score of a sample of 44 randomly selected students is less
than 1385 points.
(Round the answer to 4 decimal places)
Transcribed Image Text:Question 3 AVS 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 and σ: X~ Select an answer (H = Select an answer ^ and find the probability that the SAT score of a randomly selected student is between 1007 and 1670 points. unknown Xª N σ= (Round the answer to 4 decimal places) B N F unknown 2. Use the Central Limit Theorem Select an answer Select an answer the sample size is small (n<30) and the distribution of the original population is unknown the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown X~ Select an answer (x= Select an answer IVS to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1 decimal place) ,ox - and find the probability that the average SAT score of a sample of 44 randomly selected students is less than 1385 points. (Round the answer to 4 decimal places)
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