| $z$ | $\mathrm { P } ( 0 \leq Z \leq z )$ |
| 1.0 | 0.3413 |
| 1.5 | 0.4332 |
| 2.0 | 0.4772 |
| 2.5 | 0.4938 |
The content volume of a cosmetic product produced by a factory follows a normal distribution with mean 201.5 g and standard deviation 1.8 g. Find the probability that the sample mean of 9 randomly selected cosmetic products from this factory is at least 200 g using the standard normal distribution table on the right. [4 points]
\begin{center}
\begin{tabular}{ | c | c | }
\hline
$z$ & $\mathrm { P } ( 0 \leq Z \leq z )$ \\
\hline
1.0 & 0.3413 \\
\hline
1.5 & 0.4332 \\
\hline
2.0 & 0.4772 \\
\hline
2.5 & 0.4938 \\
\hline
\end{tabular}
\end{center}
(1) 0.7745\\
(2) 0.8413\\
(3) 0.9332\\
(4) 0.9772\\
(5) 0.9938