SOLUTION: A soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls to within 0.15 inch. Determine the minimum sample size required to construct a 99% confide
Algebra ->
Probability-and-statistics
-> SOLUTION: A soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls to within 0.15 inch. Determine the minimum sample size required to construct a 99% confide
Log On
Question 1141165: A soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls to within 0.15 inch. Determine the minimum sample size required to construct a 99% confidence interval if the standard deviation of the circumferences is 0.20 inch. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! have sigma so use z
half-interval is 0.15 inches
=z*sigma/sqrt(n)=2.576*0.2/sqrt(n), where z(0.995)=2.576
square both sides and multiply through by n
0.15^2*n=2.576^2*0.2^2
0.0225n=0.2654
11.79 or 12