Question

The measurement of the height of 600 students of a college is normally distributed with a mean of 175 centimeters and a standard deviation of 5 centimeters. What percent of students are less than 170 cm in height?

Answer 1

youll need a modified zscore ... scale it by sqrt(n)

Answer 2

\[z=\frac{x-\bar x}{\sigma}\]
\[z\sqrt n=\frac{x-\bar x}{\sigma}\sqrt n\]
\[z'=\frac{x-\bar x}{\sigma/\sqrt n}\]