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Chapter 6: Q43 (page 241)

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

z0.04

Short Answer

Expert verified

The indicated critical value of z0.04is 1.75.

Step by step solution

01

Given information

The critical value isz0.04

02

Describe the critical value 

The critical value is z伪for a particular value of 伪. Then, 伪is the area to the right of z伪.

Mathematically,

.PZ>z伪=伪

In this case, 伪=0.04, and PZ>z0.04=0.04.

03

Step 3: Simplify the term to obtain the cumulative probability

For obtaining the cumulative probability, simplify the term as follows.

Pz>z0.04=0.041-Pz<z0.04=0.04Pz<z0.04=0.96

From the standard normal table, the value of 0.96 is closest to 0.9599, and the corresponding row value of 1.7 and column value of 0.05 implies that the z value is 1.75.

04

Summarize the result

The value of z0.04=1.75has an area of 0.04 to its right. So, z0.04=1.75corresponds to a cumulative left area of 0.96.

Thus, the critical value is z0.04=1.75.

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Most popular questions from this chapter

Standard normal distribution, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, Draw a graph, then find the probability of the given bone density test score. If using technology instead of Table A-2, round answers to four decimal places.

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