Efan Halliday

## Answered question

2020-11-27

What are other sampling distributions for mean?

### Answer & Explanation

Ayesha Gomez

Skilled2020-11-28Added 104 answers

Step 1
Sampling distributions : The probability distribution of a given statistic based on a random sample.
The sampling distribution depends on: the underlying distribution of the population, the statistic being consider.
Let ${x}_{1},{x}_{2},....{x}_{n}$ are random sample from population with mean µ and standard deviation σ then sampling distribution of sample follows approximately normal distribution as,

And if population standard deviation \sigma is unknown then,

Step 2
This distribution is normal since the underlying population is normal, although sampling distributions may also often be close to normal even when the population distribution is not.

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