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How does our estimate of the population variance change as the sample size increases? Explain. As sample size increases, the sample variance becomes less like the population variance. As sample size increases, the sample variance estimate of the population variance does not change. As sample size increases, the sample variance more closely estimates the population variance.

Respuesta :

Answer:

As sample sizes increase, the sampling distributions approach a normal distribution. With "infinite" numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ).

Step-by-step explanation:

population variance =σ

sample variance=[tex]\frac{σ}{[tex]\sqrt{n}[/tex]}[/tex]

where n is sample size

so as n increases ,[tex]\frac{σ}{[tex]\sqrt{n}[/tex]}[/tex] decreases, so sample variance decreases

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