Question

please explain:

7. Probability theory is used in statistics to tell the possible error rate of extrapolating a sample to its population.

            a. True                         b. False

8. In general, the _________ the sample size, the more accurate the sample reflects the population.

            a. larger                        b. smaller

9. If sample size equals to population size, then _____________________

            a. the sample would be useless

            b. the sample would perfectly reflect what the population is like

10. It is always possible to have errors when we use a sample to tell what its population is like, unless the sample is the same as the population.

            a. True                         b. False

11. Suppose the mean of a sample is 264.83. Where is the mean of the population?

            a. 264.83                     b. Less than 264.83                  c. More than 264.83

            d. We do not know.

12. If we select two samples from a same population, then the means of the two samples must be same.

            a. True                         b. False

Answer 1

7) True, If we know the probability then on the basis of sample we would be able to extrapolate about the population.

8) Larger, Larger sample size will be close to population hence it will be more easier to estimate the population because of very small error.

9) If sample size equals to population size, then the sample would perfectly reflect what the population is like

10) True

It is always possible to have errors when we use a sample to tell what its population is like, unless the sample is the same as the population as we are estimating for the population on the basis of sample.

11) Correct option is (D) We don't know

As on the basis of sample mean we can just approximate(the point estimate of the population mean =sample mean) about the population but exact mean can not be calculate .

12) False, If we select two samples from a same population, then the means of the two samples can not  be same.