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Chapter 12: Q. 1 (page 520)

How do you distinguish among the infinitely many different chi-square distributions and their corresponding x2-curves?

Short Answer

Expert verified

The infinitely many different chi-square distributions and their corresponding x2-curves can be distinguished by their degrees of freedom.

Step by step solution

01

Step 1. Given information.

Consider the given question,

The correspondingx2curves.

02

Step 2. Differentiate by degrees of freedom.

We can differentiate the infinitely many different chi-square distributions and their corresponding x2curves by their degrees of freedom,

df=5,10,19

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Most popular questions from this chapter

Housing Foundations. The U.S. Census Bureau publishes information about housing units in American Housing Survey for the United States. The following table cross-classifies single-unit occupied housing units by foundation type and tenure of occupier. The frequencies are in thousands.

For single-unit occupied housing units:


OwnerRenterTotal
Full-basement22,9873,30126,288
Partial-basement7,5169908,506
Crawl-space14,2893,47717,776
Concrete slab21,0135,65126,664
Other9493341,283
Total66,75413,75380,507

a. How many have crawl spaces?

b. How many are owner occupied?

c. How many are rented and have full basements?

d. How many have a basement?

e. How many are either owner occupied or have a concrete slab?
Job Satisfaction. A CNN/USA TODAY poll conducted by Gallul asked a sample of employed Americans the following question: "Which do you enjoy more, the hours when you are on your job, or the hours when you are not on your job?" The responses to this question were cross-tabulated against several characteristics, among which were gender, age, type of community, educational attainment, income, and type of employer. The data are provided on the WeissStats site. In each of Exercises 12.87-12.92, use the technology of your choice to decide, at the5%significance level, whether an association exists between the specified pair of variables.

income and response

Regarding the expected-frequency assumptions for a chi-square goodness-of-fit test, a chi-square independence test, or a chi-square homogeneity test,

a. state them.

b. how important are they?

How do you identify different chi-square distributions?

A chi-square homogeneity test is to be conducted to decide whether a difference exists among the distributions of a variable of six populations. The variable has five possible values. What are the degrees of freedom for the x2-statistic?
See all solutions

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