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Chapter 7

Chapter 7. The Sampling Distribution of the Sample Mean. Section 7.1 Sampling Error; the Need for Sampling Distributions. Sampling Error Sampling error is the error resulting from using a sample to estimate a population characteristic. Definition 7.1.

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Chapter 7

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  1. Chapter 7 The Sampling Distribution of the Sample Mean

  2. Section 7.1 Sampling Error; the Need for Sampling Distributions

  3. Sampling Error Sampling error is the error resulting from using a sample to estimate a population characteristic. Definition 7.1

  4. Sampling Distribution of the Sample Mean For a variable x and a given sample size, the distribution of the variable is called the sampling distribution of the sample mean. Definition 7.2

  5. Possible samples and sample means for samples of size 2 Table 7.2

  6. Dotplot for the sampling distribution of the sample mean for samples of size 2 ( n = 2) Figure 7.1

  7. Dotplots for the sampling distributions of the sample mean for the heights of the five starting players for samples of sizes 1, 2, 3, 4, and 5 Figure 7.3

  8. Sample size and sampling error illustrations for the heights of the basketball players (“No.” is an abbreviation of “Number”) Table 7.4

  9. Section 7.2 The Mean and Standard Deviation of the Sample Mean

  10. Formula 7.1

  11. Formula 7.2

  12. Section 7.3 The Sampling Distribution of the Sample Mean

  13. Histogram of the sample means for 1000 samples of four IQs with superimposed normal curve Output 7.1

  14. (a) Normal distribution for IQs; (b) sampling distribution of the sample mean for n = 4; (c) sampling distribution of the sample mean for n = 16 Figure 7.4

  15. Relative-frequency histogram for household size Figure 7.5

  16. Histogram of the sample means for 1000 samples of 30 household sizes with superimposed normal curve Output 7.2

  17. Key Fact 7.4

  18. Sampling distributions of the sample mean for (a) normal, (b) reverse-J-shaped, and (c) uniform variables Figure 7.6

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