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Chapter 12: Q. 12.7 (page 484)

For a χ2-curve with df=10, determine

a. χ0.052

b.χ0.025

Short Answer

Expert verified

Part a: The χ2value that has area 0.05with 10degrees of freedom is, 18.3which is illustrated graphically below,

Part b: The χ2value that has area 0.025with 10degrees of freedom is, 20.5which is illustrated graphically below,

Step by step solution

01

Part a Step 1. Given information

The number of degrees of freedom is,10.

02

Part a Step 2. To find the required χ2 value, we use table V.

The number of degrees of freedom is10, so first we go down the outside columns. Then going across that row to the column labeled χ0.052, we reach 18.3.

03

Part a Step 3. Let us illustrate our work graphically.

04

Part b Step 1. Given information

The number of degrees of freedom is,10.

05

Part b Step 2. To find the required χ2 value we use table V.

The number of degrees of freedom is, 10,so first we go down the outside column. Then going across that row to the column labeled χ0.0252, we reach20.5.

06

Part b Step 3. Let us illustrate our work graphically.

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Most popular questions from this chapter

In each of the given Exercises, we have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 on page 506 to be satisfied. Note: The number of cells for a contingency table with m rows and n columns is m⋅n.

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