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Chapter 10: Sampling Distributions and the Central Limit Theorem

429

Figure 10-11:

Display with the Average Hours Worked per Week

Supposewe are interested in the true mean time Americans spend working

per week during 2013. If we let the population mean be denoted by

, then

can be defined by

Since the population of interest is too large for us to observe all Americans

who worked per week in 2013, we can estimate the true mean by observing a

random sample from the population of Americans who worked per week in

2013.

If we select a sample of size

from the population, then we can use this

information to compute an estimate for

.

Figure 10-12

shows the

experimental design of how to select the sample.