Solve the problem.
-According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16.
A) 3.5
B) 1.7
C) 1.9
D) 2.6

Question

Quizplus · Accepted Answer

The standard deviation for the number of students who work full time in samples of size 16 is the square root of the variance, which is the product of the population proportion and the complement of the population proportion divided by the sample size. In this case, the population proportion is 0.22, the complement of the population proportion is 1 - 0.22 = 0.78, and the sample size is 16. Therefore, the variance is 0.22 * 0.78 / 16 = 0.01053, and the standard deviation is the square root of 0.01053, which is approximately 0.1026.

Solve the Problem. -According to a College Survey, 22% of All Students Work