Answer to Question #301246 in Statistics and Probability for Mic

Question

The heights of Grade 11 male students in your school are normally distributed with a mean of 168 cm and standard deviation of 10 cm. Describe sampling distribution of 25 students wo are randomly drawn from the population.

Answer 1

define population mean = sample mean = 168cm

we define the standard deviation of the 25 students as below

standard deviation = (10) / (25^1/2) = 2

variance= (standard deviation)² = (2)² = 4