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Jun
Estimating Population Mean From Sample Mean. NjN1N2Nkµµj µ1µ2 µkj1NNNN The population mean is estimated by the corresponding weighted average of samplemeans. Estimate for population total τ N y expansion estimator Finite population variance. If you are given summary statistics from a data set use the same number of decimal places used for the sample mean. It is regarded as an efficient and unbiased estimator of population mean which means that the most expected value for the sample statistic is the population statistic irrespective of the sampling error.
Y n n. Suppose it is of interest to estimate the population mean μ for a quantitative variable. We determine an interval four standard deviations wide- from two standard deviations below the sample mean to two standard. There are different formulas for a confidence interval based on the sample sizeand whether or not the population standard deviation is known. Estimating Population Mean A statistic from a sample is used to estimate a parameter of the population. In Estimating a Population Mean we focus on how to use a sample mean to estimate a population mean.
In Estimating a Population Mean we focus on how to use a sample mean to estimate a population mean.
This is the type of thinking we did in Modules 7 and 8 when we used a sample proportion to estimate a population. When the population mean mu is estimated with a small sample n. According to the Central Limit Theorem the sampling distribution for the sample mean is approximately normal for large samples as shown below. It is regarded as an efficient and unbiased estimator of population mean which means that the most expected value for the sample statistic is the population statistic irrespective of the sampling error. This is the type of thinking we did in Modules 7 and 8 when we used a sample proportion to estimate a population. There are different formulas for a confidence interval based on the sample sizeand whether or not the population standard deviation is known.