Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G

Question

Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?

I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.

a. I only
b. II only
c. III only
d. I and II
e. II and III

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Khang Minh 4 weeks 2021-08-18T03:32:31+00:00 1 Answers 0 views 0

Answers ( )

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    2021-08-18T03:34:05+00:00

    Answer: e. II and III

    II. The mean of sample G, TG, is a point estimator for the mean of the population.

    III. The mean of sample H, my, is a point estimator for the mean of the population.

    Step-by-step explanation:

    The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.

    Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.

    However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean

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