Question

check here for instructional material to complete this problem. evaluate $sigma=sqrt{np(1 - p)}$ for $n = 31$, $p = 0.5$. $sigma=square$ (simplify your answer. type an integer or decimal rounded to one decimal place as needed.)

Explanation:

Step1: Substitute values

Substitute $n = 31$ and $p=0.5$ into the formula $\sigma=\sqrt{np(1 - p)}$. So we get $\sigma=\sqrt{31\times0.5\times(1 - 0.5)}$.

Step2: Calculate the value inside the square - root

First, calculate $1-0.5 = 0.5$. Then $31\times0.5\times0.5=31\times0.25 = 7.75$. So $\sigma=\sqrt{7.75}$.

Step3: Find the square - root and round

$\sqrt{7.75}\approx2.8$.

Answer:

$2.8$