Suppose the finishing times for cyclists in a race are normally distributed. If the population standard deviation is 16 minutes, what minimum sample size is needed to be 95% confident that the sample mean is within 5 minutes of the true population mean?

Zo.10

20.05

1.282

1.645

20.025

20.01

20.005

1.960

2.326

2.576

Use the table above for the z-score, and be sure to round up to the nearest integer.

Provide your answer below: