Q. 6.83 - Elementary Statistics

Question

Complete the following table

$z_{0.10}$	$z_{0.05}$	$z_{0.025}$	$z_{0.01}$	$z_{0.005}$
$1.28$

Step-by-Step Solution

Answer

The completed table is

Step 1: Given information

The given data is

Step 2: Explanation

The $z-$score, $z_{0.05}$, has a right-hand area of $0.05$ and a left-hand area of $1-0.05=0.95$.

Table II of Appendix A shows the area under the standard normal curve to the left of the $z-$ score. The area $0.95$s related z-score is $1.645.$

The $z-$score, $z_{0.025}$ has the area of $1-0.025=0.975$ to its left. The corresponding $z-$score of the area $0.975$ is $1.96$.

The $z-$ score, $z_{0.01}$ has the area of $1-0.01=0.99$ to its left. The corresponding $z-$score of the area $0.99$ is $2.33$.

The $z-$score, $z_{0.005}$ has the area of $1-1.005=0.995$ to its left. The corresponding $z-$score of the area $0.995$ is $2.575.$