Question

According to a college survey, 55% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 284 (rounded to the nearest hundredth).

Answer 1

The standard deviation for the number of students who work full time = 8.38

Explanation:

Given data

Sample size n = 284

No. of students work full time is P = 55 % = 0.55

No. of students who not work full time is Q = 100- 55 % = 45 % = 0.45

The standard deviation is given by

`S.D. = √(nPQ)`

Put all the values in above equation we get

`S.D. = √((284)(0.55)(0.45))`

S.D. = 8.38

This is the standard deviation for the number of students who work full time.