Question

find the critical value ( z_{alpha/2} ) that corresponds to the confidence level 84%.( z_{alpha/2} = square ) (round to two decimal places as needed.)

Explanation:

Step1: Calculate alpha value

$\alpha = 1 - 0.84 = 0.16$

Step2: Find alpha/2 value

$\frac{\alpha}{2} = \frac{0.16}{2} = 0.08$

Step3: Find cumulative area

Cumulative area = $1 - 0.08 = 0.92$

Step4: Look up z-score for 0.92

Using standard normal table or calculator, the z-score for cumulative area 0.92 is approximately 1.41.

Answer:

1.41