Question

evaluate \\( \sigma = \sqrt { n p ( 1 - p ) } \\) for \\( n = 19, p = 0.5 \\).
\\( \sigma = \square \\)
(simplify your answer. type an integer or decimal rounded to one decimal place as needed.)

Explanation:

Step1: Substitute values into formula

Substitute \(n = 19\) and \(p=0.5\) into \(\sigma=\sqrt{np(1 - p)}\).
So, \(\sigma=\sqrt{19\times0.5\times(1 - 0.5)}\).

Step2: Calculate inside the square - root

First, calculate \(19\times0.5\times(1 - 0.5)=19\times0.5\times0.5\).
\(19\times0.5\times0.5 = 19\times0.25=4.75\).

Step3: Calculate the square - root

\(\sigma=\sqrt{4.75}\approx2.2\) (rounded to one decimal place).

Answer:

\(2.2\)