Say you have a sample of size of n many independent observations X₁, X2,..., Xn from some unknown distribution with mean/expectation equal to μ and variance equal to o². n Which of the following is true about the distribution of the sample mean X = 1 ΣX ₂ ? EX n i=1

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Say you have a sample of size of n many independent observations X₁, X2,...,
unknown distribution with mean/expectation equal to μ and variance equal to o².
Which of the following is true about the distribution of the sample mean X
=
It is completely unknown.
It is approximately a normal distribution.
It is approximately a uniform distribution.
Xn from some
It is constant.
n
¹ Σ Xi ?
n
i=1
Transcribed Image Text:Say you have a sample of size of n many independent observations X₁, X2,..., unknown distribution with mean/expectation equal to μ and variance equal to o². Which of the following is true about the distribution of the sample mean X = It is completely unknown. It is approximately a normal distribution. It is approximately a uniform distribution. Xn from some It is constant. n ¹ Σ Xi ? n i=1
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