Critical Thinking Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of sample means overline{x}. What value will the standard deviation sigma_{overline{x}} of the sampling distribution approach?

ka1leE 2021-01-31 Answered
Critical Thinking Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of sample means x.
What value will the standard deviation σx of the sampling distribution approach?
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Expert Answer

Aamina Herring
Answered 2021-02-01 Author has 85 answers

The standard deviation of distribution is measured using the standard error of the distribution,
σx=σn
In the formula, σ denotes the population standard deviation and n denotes the sample size.
Even when the sample size is increased the standard deviation σx, of x distribution approaches to σn.

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