Chapter 27 - One-Way Analysis of Variance: Comparing Several Means - Chapter 27 Exercises - Page 670: 27.29d

See below.

$SEM=\frac{s}{\sqrt n}$, so $s=SEM\sqrt n$ So $s_1=SEM_1\sqrt n_1=5.93\sqrt{8}=16.7726$ $s_2=SEM_2\sqrt n_2=8.75\sqrt{8}=24.7487$ $s_3=SEM_2\sqrt n_2=6.64\sqrt{8}=18.7808$ $s_4=SEM_2\sqrt n_2=8.64\sqrt{8}=24.4376$ If we want to use ANOVA, then the ratio of the maximum and minimum standard deviation can be at most $2$. Here it is: $\frac{24.7487}{16.7726}\approx1.476\lt2$, so we can use it.