Question

consider what you know about the sampling distribution of the sample proportion. this sampling distribution
A. will become more variable as the sample size increases.
B. will be Normal in shape only if the sample size is at least 100.
C. will have a center equal to the population proportion, or p.
D. has a shape that is skewed to the right, regardless of sample size.
E. is a collection of the parameters of all possible samples of a particular size taken from a particular population.

Answer 1

The simpler definition is A sampling distribution refers to a probability distribution of a statistic that comes from choosing random samples of a given population. It is Also known as a finite-sample distribution, it represents the distribution of frequencies on how spread apart various outcomes will be for a specific population.

It depends on various factors the statistic, sample size, sampling process, and the overall population. We can use it to help calculate statistics such as means, ranges, variances, and standard deviations for the given sample.

Working:

1. Select a random sample of a specific size from a given population.

2. Calculate a statistic for the sample, such as the mean, median, or standard deviation.

3. Develop a frequency distribution of each sample statistic that you calculated from the step above.

4. Plot the frequency distribution of each sample statistic that you developed from the step above. The resulting graph will be the sampling distribution.

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