4/15/2023 0 Comments Sampling distribution of xbarThis means that in order to understand the relationship between a sample estimate we are able to compute in our data and the population parameter, we have to understand how results might differ if instead of our sample, we had another possible (equally likely) sample. We will call this counter-factual thinking. It’s not this simple! Statisticians approach this problem by focusing not on the sample in hand, but instead on possible other samples. This average age is an estimate of the population average age \(\mu\).ĭoes this mean that the population mean is \(\mu = 28.2\)? The sample was selected randomly, so inferences are straightforward, right? In this sample, you find the average age is \(\bar = 28.2\). Imagine that you want to know the average age of individuals at a football game, so you take a random sample of \(n=100\) people. 13.4 Example: Estimate the relationship between two variables.13.1 A general process for using statistics.12.6 American Statistical Association (ASA) Statistical Standards.12.3 Hypothesis test: Decision making in statistics.11.3 P-value and Null Distribution Example.11.2 Repeated samples, the null hypothesis, and p-values.10.5 Example: Comparing two proportions.10.3 Margin of Error and Width of an Interval.10.2 Interpreting a Confidence Interval.10.1.3 General Form for Constructing a Confidence Interval.10.1.2 Confidence Interval with the Normal distribution.10.1.1 Sampling distributions of standardized statistics.10.1 Combining an estimate with its precision. ![]() 9.7.3 Summary of Sampling Distributions.9.6.1 Sampling balls with different sized shovels.9.6 Sample Size and Sampling Distributions.9.5 Standardization, Special Distributions, and Theory.9.4.3 Standard deviation of the sampling distribution.9.4.2 Mean of the sampling distribution.9.4 Properties of Sampling Distributions.9.3.2 Using the virtual shovel 10,000 times.9.2.3 Everyone takes a random sample (i.e., repeating this 33 times).9.2.1 What proportion of this bowl’s balls are red?.7.5 If you know Z, what about multiple regression?.6.2.4 Observed/fitted values and residuals.6.2 One numerical
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