Determine unbiased estimator of the mean weight

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Question: Newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was x¯ = 810 grams. This sample mean is an unbiased estimator of the mean weight m in the population of all ELBW babies, which means that

(a) in all possible samples of size 219 from this population, the mean of the values of x¯ will equal 810.

(b) in all possible samples of size 219 from this population, the mean of the values of x¯ will equal μ.

(c) as we take larger and larger samples from this population, x¯ will get closer and closer to m.

(d) in all possible samples of size 219 from this population, the values of x¯ will have a distribution that is close to Normal.

(e) the person measuring the children's weights does so without any error.

Reference no: EM131764288

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