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420

Chapter 10: Sampling Distributions and the Central Limit Theorem

number of these simulations and take averages, we should expect that these

values would be closer, if not equal, to each other. The main purpose of this

illustration was to help in understanding the stated properties given in

Table 10-2

.

Table 10-2:

Propertiesof the Sampling Distribution

for the Sample Proportion

Also the shape of the distribution of the simulated sample proportions is

approximately bell-shaped. That is, the distribution of the sample

proportions is approximately normally distributed. A frequency histogram

for the simulation is shown in

Figure 10-4

.