Chapter 8 Interval Estimates For Proportions, Mean Differences And Proportion Differences.

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Presentation transcript:

Chapter 8 Interval Estimates For Proportions, Mean Differences And Proportion Differences

Figure 8.1 The Sampling Distribution of for Our Small-Scale Illustration 0.01/6 = /6 = /6 =.167 f ( ) 1.00

Figure 8.2 A Bar Chart Showing the Sampling Distribution of P ( ) Sample Proportion of Favorable Responses

The Sampling Distribution of the Sample Proportion The sampling distribution of the sample proportion is the probability distribution of all possible values of the sample proportion,, when a sample of size n is taken from a particular population.

Standard Deviation of the Sampling (8.1) Distribution of the Sample Proportion

Figure 8.3 The Sampling Distribution of the Sample Proportion 

Interval Estimate for a (8.2) Population Proportion

Interval Estimate for a (8.3) Population Proportion using the Estimated Standard Error

Determining Sample Size for (8.4) Estimating a Population Proportion n =

The sampling distribution of the sample mean difference is the probability distribution of all possible values of the sample mean difference, -, when a sample of size n 1 is taken from one population and a sample of size n 2 is taken from another. The Sampling Distribution of the Sample Mean Difference

Standard Deviation of the Sampling (8.5) Distribution of the Sample Mean Difference -  =

Figure 8.4 The Sampling Distribution of Sample Mean Difference  1 –  2

Estimating the Difference Between (8.6) the Means of Two Populations

Estimating the Difference between the (8.7) Means of Two Populations: Large Sample Sizes, Population Standard Deviations are Unknown

Pooled Sample Standard Deviation (8.8)

Estimating the Difference between (8.9) Means of Two Populations: Small Sample Sizes, Population Standard Deviations are Unknown but equal

The sampling distribution of the sample proportion difference is the probability distribution of all possible values of the sample proportion difference, -, when a sample of size n 1 is taken from one population and a sample of size n 2 is taken from another. The Sampling Distribution of the Sample Proportion Difference

Standard Deviation of the (8.10) Sampling Distribution of the Sample Proportion Difference

Figure 8.5 The Sampling Distribution of Sample Proportion Difference  1 –  2

Estimating the Difference between (8.11) Two Population Proportions

Estimating the Difference between (8.12) Two Population Proportions, s replace  s

Estimating the Difference in (8.13) Two Population Means: Matched Samples

Standard Deviation of Matched (8.14) Sample Differences s d =