Answer:
-4.08 <x< 4.08
Step-by-step explanation:
For the given information,
[tex]\sigma = 5\\n= 10\\ci = 99%[/tex]
From the tables for 99% confidence interval we have a Z-value of 2.58
[tex]Range= z*\frac{\sigma}{\sqrt{n}}\\Range= (2.58)\frac{5}{\sqrt{10}}\\Range = 4.08[/tex]
[tex]-4.08 <x< 4.08[/tex]