Answer: 10
Step-by-step explanation:
The formula to find the sample size is given by :-
[tex]n=(\dfrac{z_{\alpha/2}\ \sigma}{E})^2[/tex]
Given : Significance level : [tex]\alpha=1-0.99=0.1[/tex]
Critical z-value=[tex]z_{\alpha/2}=2.576[/tex]
Margin of error : E=5
Standard deviation : [tex]\sigma=6[/tex]
Now, the required sample size will be :_
[tex]n=(\dfrac{(2.576)\ 6}{5})^2=9.55551744\approx10[/tex]
Hence, the final sample required to be of 10 .
