Question

Suppose that a random sample of size 1 is to be taken from a finite population of size N. Answer parts (a) through (c) below. a. How many possible samples are there? A. N + 1 B. N-1 0 C. N D. 1 b. Identify the relationship between the possible sample means and the possible observations of the variable under consideration. Choose the correct answer below. A. Each possible sample mean is equal to an observation, only if the population is normally distributed. B. At least one sample mean is equal to the population mean, or the mean of all possible observations. C. Each possible sample mean is equal to an observation, regardless of the nature of the population. D. Since the samples are of size 1, there is 1 possible sample mean, and it is equal to the sample mean. c. What is the difference between taking a random sample of size 1 from a population and selecting a member at random from the population? A. The distribution of the sample mean for samples of size 1 has a larger standard deviation than that of the population. B. There is no difference because there is only one possible sample when the population is size 1. C. The distribution of the sample mean for samples has a smaller standard deviation than that of the population. D. There is no difference because the sample includes just one random member from the population.

Answer 1

solution:

a) There are N possibile sample

Option C is right answer

b)Each possible sample mean is equal to an observation,regardless of nature of population

Option C is right answer

c) There is no difference because the sample includes just one random member from the population

Option D is right answer