copyright © 2013 pearson education, inc. all rights reserved chapter 6 sampling distributions

30
Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 6 Sampling Distributions

Upload: donald-warren

Post on 28-Dec-2015

216 views

Category:

Documents


0 download

TRANSCRIPT

Copyright © 2013 Pearson Education, Inc. All rights reserved

Chapter 6

Sampling Distributions

6 - 2 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Table SIA6.1

6 - 3 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition

6 - 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition

6 - 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Table 6.1

Copyright © 2013 Pearson Education, Inc. All rights reserved

6.1

The Concept of a Sampling Distribution

6 - 7 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.1 Comparing the sample mean and sample median (M) as estimators of the population mean ()

x

6 - 8 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition

6 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.2 Sampling distribution for based on a sample of n = 25 temperature measurements

x

6 - 10 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.3 Two sampling distributions for estimating the population variance

6 - 11 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Table 6.2

6 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.4 Uniform distribution for thickness of steel sheets

6 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Table 6.3

6 - 14 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

6 - 16 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition

6 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.6 Sampling distributions of unbiased and bias estimators

6 - 18 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition

6 - 19 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

6.3

The Sampling Distribution of x and the Central Limit Theorem

_

6 - 21 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.8 Sampled uniform population

6 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.9 MINITAB histogram for sample mean in 1,000 samples

6 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Definition

6 - 24 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Theorem

6 - 25 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Theorem

6 - 26 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.10 Sampling distributions of for different populations and different sample sizes

x

6 - 27 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.11 A population relative frequency distribution and the sampling distribution for x

6 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.12 The sampling distribution for x

6 - 29 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 6.13 The sampling distribution of in Example 6.8 for n = 50

x

6 - 30 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure SIA6.1 SPSS descriptive statistics foe sleep time data