If the sample size is large (n 30), then, regardless of the ...

[dekbert]

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:

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discrete distribution.

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continuous distribution.

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log-normal distribution.

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normal distribution.

Question 2

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

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

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

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

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

[Burly]

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[dekbert]

Excellent

[apple]

Thanks for the timely response, appreciate it