noahblaustein4531 noahblaustein4531
  • 20-05-2021
  • Mathematics
contestada

Suppose a sample is taken from a population whose mean value is 51, as the sample size increase which value will the mean approach

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MrRoyal
MrRoyal MrRoyal
  • 25-05-2021

Answer:

51

Step-by-step explanation:

Given

[tex]\mu = 51[/tex]

Required

Where will the mean approach if sample size increase

Using central limit theorem, we have:

[tex]n \to \infty[/tex]

[tex]\mu \to \mu[/tex]

This means that; as n approaches infinity, the mean is almost expected to the [tex]\mu[/tex] i.e. expected to remain unchanged.

Hence, the mean value will approach 51.

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