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Author Question: If the sample size is large (n 30), then, regardless of the population distribution, which of the ... (Read 61 times)

dekbert

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Question 1

If the sample size (n) is large (say,n≥ 30), then it is safe to model the sampling distribution of\(\style{font-family:Times New Roman;}{\overline x}\)as a:

discrete distribution.


continuous distribution.


log-normal distribution.


normal distribution.



Question 2

If the sample size is large (≥ 30), then, regardless of the population distribution, which of the following summarizes the sampling distribution of random variable\(\style{font-family:Times New Roman;}{\overline X}\)?

\(\style{font-family:'Times New Roman'}{\overline X\dot\sim N(\mu_\overline X=\mu\;,\;\sigma_\overline X=\sigma/\sqrt n)}\)


\(\style{font-family:'Times New Roman'}{\overline X\dot\sim N(\mu_\overline X=\mu\;,\;\sigma_\overline X=\sigma/n)}\)


\(\style{font-family:'Times New Roman'}{\overline X\dot\sim N(\mu_\overline X=\mu\;,\;\sigma_\overline X=\sigma)}\)


\(\style{font-family:'Times New Roman'}{\overline X\dot\sim N\left(\mu_\overline X=\mu\;/\sqrt n,\;\sigma_\overline X=\sigma/\sqrt n\right)}\)



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Marked as best answer by dekbert on Feb 26, 2023

Burly

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dekbert

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Reply 2 on: Feb 26, 2023
Great answer, keep it coming :)


samiel-sayed

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Reply 3 on: Yesterday
Excellent

 

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