State the Central Limit Theorem. Choose the correct answer below. O A. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be approximately a 0 normal distribution with mean μ = μ and standard deviation o √n OB. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be a uniform 0 distribution with mean µ = μ and standard deviation o = OC. For a random sample of n observations selected from a population with mean and standard deviation o, when n>4, the sampling distribution of x will be exactly a normal distribution with 0 mean μ = μ and standard deviation - = √n OD. For a random sample of n observations selected from a population with mean and standard deviation o, when n is sufficiently large, the sampling distribution of x will be approximately a normal distribution with mean μ = μ and standard deviation o=o.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
State the Central Limit Theorem.
Choose the correct answer below.
A. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be approximately a
O
normal distribution with mean μ = μ and standard deviation
=
ox= √n
B. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be a uniform
O
distribution with mean μ = μ and standard deviation =
X
n
O C. For a random sample of n observations selected from a population with mean µ and standard deviation o, when n>4, the sampling distribution of x will be exactly a normal distribution with
O
mean μ = μ and standard deviation o- =
X
√n
D. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be approximately a
normal distribution with mean μ = μ and standard deviation
ox
= 0.
Transcribed Image Text:State the Central Limit Theorem. Choose the correct answer below. A. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be approximately a O normal distribution with mean μ = μ and standard deviation = ox= √n B. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be a uniform O distribution with mean μ = μ and standard deviation = X n O C. For a random sample of n observations selected from a population with mean µ and standard deviation o, when n>4, the sampling distribution of x will be exactly a normal distribution with O mean μ = μ and standard deviation o- = X √n D. For a random sample of n observations selected from a population with mean μ and standard deviation o, when n is sufficiently large, the sampling distribution of x will be approximately a normal distribution with mean μ = μ and standard deviation ox = 0.
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