2 Estimation and Sampling Distributions
2.1 The Four Distributions You Will Need
2.1.1 The normal distribution
2.1.2 Why the sample mean is normal: the Central Limit Theorem
2.1.3 The \(t\)-distribution
2.1.4 The chi-square distribution
2.1.5 The \(F\)-distribution
2.1.6 Choosing between them
2.1.7 Properties of Estimation
2.1.8 Estimating the population variance
2.1.9 An Unbiased Estimation of Population Proportion
2.1.10 Expected Values And Variances of Some Common Point Estimators
2.1.11 Confidence Interval
2.1.12 Properties of Confidence Intervals
2.2 Practice problems
2.1.1 The normal distribution
2.1.2 Why the sample mean is normal: the Central Limit Theorem
2.1.3 The \(t\)-distribution
2.1.4 The chi-square distribution
2.1.5 The \(F\)-distribution
2.1.6 Choosing between them
2.1.7 Properties of Estimation
2.1.8 Estimating the population variance
2.1.9 An Unbiased Estimation of Population Proportion
2.1.10 Expected Values And Variances of Some Common Point Estimators
2.1.11 Confidence Interval
2.1.12 Properties of Confidence Intervals
2.2 Practice problems
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