Vega Lynch
03/31/2023 · Middle School
Suppose \( X \sim N(5,100) \). A sampl of 10 observations is used to estimate the population mean. What is \( \operatorname{Pr}(\bar{X} \) < 6), rounded to three decimal places? (First find the distribution of \( \bar{X} \) ). Note: Excel (=NORM.S.DIST) has been used to find the exact probability in thi example.
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The probability \( \operatorname{Pr}(\bar{X} < 6) \) is approximately 0.625.
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