Answer: 246
Step-by-step explanation:
As per given description , we have
Population standard deviation: [tex]\sigma=16[/tex]
Critical value for 95% confidence = [tex]z_{\alpha/2}=1.96[/tex]
margin of error : E= 2
Formula to find the required sample size : -
[tex]n=(\dfrac{z_{\alpha/2}\sigma}{E})^2\\\\=(\dfrac{1.96\times16}{2})^2\\\\=245.8624\approx246[/tex]
Hence, the required minimum sample =246