The population standard deviation for the heights of dogs, in inches, in a city is7.5 inches. If we want to be95%confident that the sample mean is within2inches of the true population mean, what is the minimum sample size that can be taken?

z0.10=1.282

z0.05=1.645

z0.04=1.751

z0.025=1.960

z0.01=2.326

z0.005=2.576

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