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Chapter 6: Q44 (page 241)

Critical Values. In Exercises 41–44, 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 zαfor a particular value ofα indicates thatα is the area to the right of zα.

Mathematically,

PZ>zα=α

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

03

Find the critical value

The cumulative probability for the critical value is as follows.

Pz>zα=0.15Pz<zα=1-Pz>zαPz<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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Most popular questions from this chapter

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See all solutions

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