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Question 1 1 pts The sample mean is the point estimator of \( \mu \) \( \sigma \). x-bar p-bar

Ask by Osborne Chambers. in the United States
Mar 16,2025

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The sample mean is the point estimator of \( \mu \).

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The sample mean, often denoted as \( \bar{x} \), provides an estimate of the population mean, \( \mu \). It’s like taking a sneak peek into a vast ocean of data by examining only a small portion to understand the larger picture. So, when you calculate the average from your sample data, you're making an informed guess about the average of the whole population! On the flip side, \( \sigma \), which represents the population standard deviation, cannot be estimated directly by just the sample mean. Instead, the sample standard deviation \( s \) serves as the point estimator for \( \sigma \). Think of it as trying to gauge the “spread” or variability within that ocean of data based solely on the ripples you see on the surface!

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