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Determine Whether the Given Conditions Justify Using the Margin of Error

question 59

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Determine whether the given conditions justify using the margin of error E=zα/2σ/n\mathrm { E } = \mathrm { z } _ { \alpha / 2 } \sigma / \sqrt { \mathrm { n } } when finding a confidence interval estimate of the population mean μ\mu .
-The sample size is n = 286 and σ=15\sigma = 15


Definitions:

Representative Sampling

The process of selecting a sample that closely matches the overall population in terms of key characteristics.

Mega-Discount Chain

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Cluster Sampling

A sampling technique where the population is divided into clusters, and a sample of these clusters is then selected for analysis.

Education Researcher

An individual specializing in studying, evaluating, and improving educational systems, methods, policies, and outcomes.

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