Chapter 6 Sampling Distributions Copyright 2013 Pearson Education

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

Table SIA 6. 1 6 - 2 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

Table 6. 1 6 - 5 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

6. 1 The Concept of a Sampling Distribution 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 (m) 6 - 7 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

Figure 6. 2 Sampling distribution for based on a sample of n = 25 temperature measurements 6 - 9 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 6. 3 Two sampling distributions for estimating the population variance s 2 6 - 10 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 6. 2 6 - 11 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 6. 4 Uniform distribution for thickness of steel sheets 6 - 12 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Table 6. 3 6 - 13 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 6. 5 MINITAB histograms for sample mean and sample median, Example 6. 2 6 - 14 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

6. 2 Properties of Sampling Distributions: Unbiasedness and Minimum Variance Copyright © 2013 Pearson Education, Inc. All rights reserved

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

Figure 6. 6 Sampling distributions of unbiased and bias estimators 6 - 17 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

Figure 6. 7 Sampling distributions for two unbiased estimators 6 - 19 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

6. 3 _ The Sampling Distribution of x and the Central Limit Theorem Copyright © 2013 Pearson Education, Inc. All rights reserved

Figure 6. 8 Sampled uniform population 6 - 21 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 6. 9 MINITAB histogram for sample mean in 1, 000 samples 6 - 22 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

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

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

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

Figure 6. 10 Sampling distributions of for different populations and different sample sizes 6 - 26 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 6. 11 A population relative frequency distribution and the sampling distribution for 6 - 27 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 6. 12 The sampling distribution for 6 - 28 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure 6. 13 The sampling distribution of in Example 6. 8 for n = 50 6 - 29 Copyright © 2013 Pearson Education, Inc. . All rights reserved.

Figure SIA 6. 1 SPSS descriptive statistics foe sleep time data 6 - 30 Copyright © 2013 Pearson Education, Inc. . All rights reserved.