T 07 00 1 Population Sampling Distribution Purpose

T 07 -00 1 Population Sampling Distribution Purpose Allows the analyst to determine the mean and standard deviation of a sampling distribution for population scenario's involving means and proportions. The template also calculates the plus and minus 1, 2 and 3 standard deviation points on the sampling distribution. A graphical display of all these calculations showing the approximate normal sampling distribution is created. Inputs Outputs Mean Scenario Sample Size Population Mean & Standard Deviation Proportion Scenario Sample Size Population proportion Sampling Distribution Statistics Mean & Standard Error mean – 3 sd, mean – 2 sd, mean – 1 sd, mean +2 sd, mean + 3 sd Graph of Sampling Distribution 1

Mean Scenario: Input the mean, standard deviation, & sample size Sampling Distribution statistics and graph are automatically calculated 2

Proportion Scenario: Input the mean, standard deviation, & sample size Sampling Distribution statistics and graph are automatically calculated 3

Mean Scenario: Example Calculate the sampling distribution mean and standard error for a sample of size 30 drawn from a population with the following parameters population mean of 51, 800 population standard deviation of 4000 Draw a graph of the sampling distribution showing the sampling distribution mean plus and minus 1, 2 and 3 standard deviations. 4

Sampling Distribution statistics and graph are automatically calculated 5

Proportion Scenario: Example Calculate the sampling distribution expected value and standard error for a sample of size 30 drawn from a population with the following parameter population proportion of. 60 Draw a graph of the sampling distribution showing the sampling distribution expected value plus and minus 1, 2 and 3 standard deviations. 6

Sampling Distribution statistics and graph are automatically calculated 7