Let $h\left(x\right)$ be a function with $\mid h^{\left(4\right)}\left(x\right)\mid \le 3$ on $[2,8]$. Simpson's Rule is used with $n=10$ subintervals to approximate ${\int }_2^{8}h\left(x\right)dx$. A student claims the absolute error $E_S$ satisfies $E_S\le \frac{(\Delta x{)}^5}{8}$. Is this claim correct?