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  • https://stats.libretexts.org/Courses/Fresno_City_College/Math_11%3A_Elementary_Statistics/07%3A_Estimation/7.02%3A_Estimation_of_a_Population_Mean/7.2.02%3A_Small_Sample_Estimation_of_a_Population_Mean
    In selecting the correct formula for construction of a confidence interval for a population mean ask two questions: is the population standard deviation σ known or unknown, and is the sample large or ...In selecting the correct formula for construction of a confidence interval for a population mean ask two questions: is the population standard deviation σ known or unknown, and is the sample large or small? We can construct confidence intervals with small samples only if the population is normal.

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