Statistics - PSY 200 - Using Statistics for Inference and Estimation

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Describe a biased versus an unbiased estimator.

Describe a consistent versus an inconsistent estimator.

Define and describe the procedures involved in simple random sampling, systematic sampling, cluster sampling, and stratified random sampling.

Define sampling distribution in general and the sampling distribution of the mean in particular.

Define standard error in general and the standard error of the mean in particular.

State the Central Limit Theorem. That is, describe the mean, s.d. , and shape of the sampling distribution of the mean.

Describe the effect of sample size (n) on the standard error of the mean.

Given that samples are drawn from a normally shaped population, describe the shape of the sampling distribution of the mean.

Given that samples are drawn from a skewed population, describe the effect of sample size (n) on the shape of the sampling distribution of the mean.

Explain what we mean by sampling error and how it is related to the standard error of the mean, to sample size, and to population variance.

Given the mean and s.d. of a population and the size of samples drawn from it:

• Determine the mean of the sampling distribution of the mean ()
• Calculate the standard deviation of the sampling distribution of the mean,
  i.e., the standard error of the mean ( )
• Assuming a normal shaped sampling distribution, determine the probability of a sample mean less than or greater than some specific value.
• Assuming a normal shaped sampling distribution, determine the probability of a sample mean equal to or greater than some specific distance from the population mean.

Given the mean and standard deviation of a population, a sample size, and a sample mean, calculate the z score equivalent for the sample mean.

Explain what we mean by a confidence interval around a sample mean.

Given the mean and standard deviation of a population, a sample size, and a sample mean, calculate the 95% confidence interval around the sample mean.

Describe the relationship between the amount of confidence and the size of the confidence interval.