Answer to Question #277041 in Statistics and Probability for aisyah

Question

The dean of a university wants to use the mean of a random sample to estimate the average amount of time students take to get from one class to the next. She wants to assert with probability 0.95 that her error will be at most 0.25 minutes. If she knows from the past studies that population standard deviation is 15 minutes, how large a sample she will need?

Answer 1

$n=(\frac{z*\sigma}{me})^2$

$Z_5 =1.96$

$\sigma=15$

me = 0.25

$n=(\frac{1.96*15}{0.25})^2$

n=117.6

n =118