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Chapter 12: Q. 12.6 (page 484)

For a χ2curve with 22degrees of freedom, determine the χ2value that has area

a. 0.01to its right.

b. 0.005to its right.

Short Answer

Expert verified

Parta : The χ2value that has area0.01to its right with22degrees of freedom is,40.3which is illustrated graphically below,

Partb: The χ2value that has area 0.005to its right with 22degrees of freedom is 42.8which is illustrated graphically below,

Step by step solution

01

Part a Step 1. Given information

The number of degrees of freedom is,22.

02

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

The number of degrees of freedom is, 22,so we first go down the outside columns. Then going across that row to the column labeledχ0.012we reach40.3.

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,22.

05

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

The number of degrees of freedom is,22.so we first go down the outside columns. Then going across that row to the column labeledχ0.0052we reach42.8.

06

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

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The U.S. Census Bureau publishes census data on the resident population of the United States in Current Population Reports. According to that document, 7.3% of male residents are in the age group20−24 years.
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