Estimation process 估计过程 Population Random Sample I am 95%o Mean confident that u is Mean,μ,is X=50 between 40 &60 unknown Sample
Mean, , is unknown Population Random Sample I am 95% confident that is between 40 & 60. Mean X = 50 Estimation Process 估计过程 Sample
Population Parameters Estimated 总体参数估计 Estimate Population with Sample Parameter Statistic Mean X Proportion p Variance DifferenceμrH2 X - X
Estimate Population Parameter... with Sample Statistic Mean Proportion p ps Variance s 2 Population Parameters Estimated 总体参数估计 2 Difference - 1 2 x - x 1 2 X _ _ _
Confidence Interval estimation 置信区间估计 Provides range of values n Based on Observations from 1 Sample Gives Information about closeness to Unknown Population Parameter Stated in terms of Probability Never 100%o sure
• Provides Range of Values Based on Observations from 1 Sample • Gives Information about Closeness to Unknown Population Parameter • Stated in terms of Probability Never 100% Sure Confidence Interval Estimation 置信区间估计
Elements of confidence Interval Estimation(原理) A Probability That the Population Parameter Falls Somewhere Within the Interval Confidence Interval Confidence Limit Confidence Limit (Upper)
Confidence Interval Sample Statistic Confidence Limit (Lower) Confidence Limit (Upper) A Probability That the Population Parameter Falls Somewhere Within the Interval. Elements of Confidence Interval Estimation（原理）
Confidence limits for Population Mean 总体均数的置信限 Parameter H=X± Error Statistic± Its error X-F=Error X Error X Error =20 Ⅹ±Z
Parameter = Statistic ±Its Error Confidence Limits for Population Mean 总体均数的置信限 = X Error = Error = − X X X X Z = − = = Z x X Z X = Error Error X −