Sampling Distributions

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Presentation transcript:

Sampling Distributions Chapter 6 Sampling Distributions

Table SIA6.1 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Table 6.1 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

The Concept of a Sampling Distribution 6.1 The Concept of a Sampling Distribution

Figure 6.1 Comparing the sample mean and sample median (M) as estimators of the population mean (m) Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.2 Sampling distribution for based on a sample of n = 25 temperature measurements Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.3 Two sampling distributions for estimating the population variance s2 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Table 6.2 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.4 Uniform distribution for thickness of steel sheets Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Table 6.3 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.5 MINITAB histograms for sample mean and sample median, Example 6.2 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

6.2 Properties of Sampling Distributions: Unbiasedness and Minimum Variance

Definition Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.6 Sampling distributions of unbiased and bias estimators Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.7 Sampling distributions for two unbiased estimators Copyright © 2013 Pearson Education, Inc.. All rights reserved.

The Sampling Distribution of x and the Central Limit Theorem 6.3 _ The Sampling Distribution of x and the Central Limit Theorem

Figure 6.8 Sampled uniform population Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.9 MINITAB histogram for sample mean in 1,000 samples Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Theorem Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Theorem Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.10 Sampling distributions of for different populations and different sample sizes Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.11 A population relative frequency distribution and the sampling distribution for Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.12 The sampling distribution for Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.13 The sampling distribution of in Example 6.8 for n = 50 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure SIA6.1 SPSS descriptive statistics foe sleep time data Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Copyright © 2013 Pearson Education, Inc.. All rights reserved.