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?

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?

amistre64 · Answer

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

amistre64 · Answer

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