KoreanSAT / data /json /2024 /math_27_prob.txt
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27. ์ •๊ทœ๋ถ„ํฌ $\mathrm{N}(m, 5^2)$์„ ๋”ฐ๋ฅด๋Š” ๋ชจ์ง‘๋‹จ์—์„œ ํฌ๊ธฐ๊ฐ€ 49์ธ ํ‘œ๋ณธ์„ ์ž„์˜์ถ”์ถœํ•˜์—ฌ ์–ป์€ ํ‘œ๋ณธํ‰๊ท ์ด $\bar{x}$์ผ ๋•Œ, ๋ชจํ‰๊ท  $m$์— ๋Œ€ํ•œ ์‹ ๋ขฐ๋„ 95\%์˜ ์‹ ๋ขฐ๊ตฌ๊ฐ„์ด $a \leq m \leq \frac{6}{5} a$์ด๋‹ค. $\bar{x}$์˜ ๊ฐ’์€?
(๋‹จ, $Z$๊ฐ€ ํ‘œ์ค€์ •๊ทœ๋ถ„ํฌ๋ฅผ ๋”ฐ๋ฅด๋Š” ํ™•๋ฅ ๋ณ€์ˆ˜์ผ ๋•Œ, $\mathrm{P}(|Z| \leq 1.96) = 0.95$๋กœ ๊ณ„์‚ฐํ•œ๋‹ค.) [3์ ]
\begin{itemize}
\item[1] 15.2
\item[2] 15.4
\item[3] 15.6
\item[4] 15.8
\item[5] 16.0
\end{itemize}