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
С. III only
D. I and II
E. II and III

The mean of sample drawn from a certain population may be used to infer or estimate the mean of the population data. In this vein, the mean of both samples G and H is thus a ponit estimate of the population mean since both samples G and H are drawn from the population.

However, since, samples G and H are only subsets of the population data, it is not a must that the means of either sample G or H be exactly equal to the mean of the population.

Hence, (1) is incorrect.

astha8579 astha8579 · Answer 2 · 2022-01-24T05:52:19+01:00

The mean of the sample is point estimator of mean of the population from which samples are drawn randomly.

Option E: II and III is correct choice.

What are the specifications?

Samples G and H are selected from the same population of quantitative data.
Mean of G is equal to the mean of the population.

What is the relationship between population mean and sample mean?

We cannot work on population in most of the cases thus we draw samples and work on sample to predict the properties of population.

Sample mean is point estimator of population mean, and is used to predict the population mean.

Since both G and H are samples drawn from same population, thus, they both are point estimators of the population mean.

It is not necessary that both G and H must be same. They can be same and cannot be same.

Thus, Option E: II and III is correct choice

Learn more about sample mean and population mean here:

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