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Chapter 6: Q44 (page 241)

Critical Values. In Exercises 41鈥�44, find the indicated critical value. Round results to two decimal places.

z0.15

Short Answer

Expert verified

The indicated critical value of z0.15is 1.04.

Step by step solution

01

Given information

The z critical value is z0.15.

02

Describe the critical value 

The critical value of z伪for a particular value of伪 indicates that伪 is the area to the right of z伪.

Mathematically,

PZ>z伪=伪

In this case, for 伪=0.15, PZ>z0.15=0.15.

03

Find the critical value

The cumulative probability for the critical value is as follows.

Pz>z伪=0.15Pz<z伪=1-Pz>z伪Pz<z0.15=1-Pz>z0.15=0.85

From the standard normal table, the area of 0.85 is closest to 0.8508, observed corresponding to the row value 1.0 and the column value 0.04.

The value of z0.15=1.04has an area of 0.15 to its left. So, localid="1645696656785" z0.15=1.04corresponds to a cumulative left area of 0.85.

Thus, the critical value is localid="1645696673512" z0.15=1.04.

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