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Since the sample size is always smaller than the size of the population, the sample mean



1. Since the sample size is always smaller than the size of the population, the sample mean
(i) Must always be smaller than the population mean
(ii) Must be larger than the population mean
(iii) Must be equal to the population mean
(iv) Can be smaller, larger, or equal to the population mean

2. For a population with any distribution, the form of the sampling distribution of the
sample mean is,
(i) Sometimes normal for large sample sizes
(ii) Sometimes normal for all sample sizes
(iii) Always normal for all sample sizes
(iv) Always normal for large sample sizes

3. As the sample size increases, the
(i) Standard deviation of the population decreases
(ii) Population means increases
(iii) Standard error of the mean decreases
(iv) Standard error of the mean increases

4. Doubling the size of the sample will
(i) Reduce the standard error of the mean to one-half its current value
(ii) Reduce the standard error of the mean to approximately 70% of its current value
(iii) Have no effect on the standard error of the mean
(iv) Double the standard error of the mean

5. In point estimation
(i) Data from the population is used to estimate the population parameter
(ii) Data from the sample is used to estimate the population parameter
(iii) Data from the sample is used to estimate the sample statistic
(iv) The mean of the population equals the mean of the sample



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