Answer:
C. 1537
Step-by-step explanation:
Standard deviation (s) = $200
For a 95 percent confidence interval, the value of 'z' is 1.960
The sample size (n) needed to assure that the sample mean cost of damage to cars due to accidents does not differ from the true mean by more than $10 is given by:
[tex]10> z*\frac{s}{\sqrt n}\\\sqrt n>1.960*\frac{200}{10}\\n>1,536.64[/tex]
Rounding up to the next whole unit, the sample size needed is 1,537.
