Question

find the critical value $z_{\alpha/2}$ that corresponds to the confidence level 96%.
$z_{\alpha/2}=\square$
(round to two decimal places as needed.)

Explanation:

Step1: Calculate alpha value

$\alpha = 1 - 0.96 = 0.04$

Step2: Find alpha/2 value

$\frac{\alpha}{2} = \frac{0.04}{2} = 0.02$

Step3: Find cumulative area

Cumulative area = $1 - 0.02 = 0.98$

Step4: Look up z-score

Find z-score for cumulative area 0.98, which is approximately 2.05

Answer:

2.05