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Phantasy [73]
3 years ago
13

Suppose a simple random sample of size n is drawn from a large population with mean muμ and standard deviation sigmaσ. The sampl

ing distribution of x overbarx has mean mu Subscript x overbarμxequals=​______ and standard deviation sigma Subscript x overbarσxequals=​______.
Social Studies
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

a.) The Mean mu Subscript x overbarμxequals= μ

b.) The standard deviation sigma Subscript x overbarσxequals= σ overbar square root of n.

Therefore the sample mean is equal to the population​ mean, but the standard error of the mean on the other hand depends on the sample size.

We notice also, that as n​ increases, sigma x over barσx reduces. Therefore n is inversely proportional to sigma x barσx.

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