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A teacher predict that the distribution of grades on the final exam will be and they are recorded in table 11.27

The actual distribution for a class of 20 is in table 11.28

df=----

Short Answer

Expert verified

df=3

Step by step solution

01

Given Information

Given tables are

we have to determine the degree of freedom.

02

Explanation

The formula of degree of freedom is

df=n-1

where nis number of cells

df=n-1=4-1=3

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Most popular questions from this chapter

The marital status distribution of the U.S. male population, ages 15and older, is as shown in Table 11.35.

Martial Status Percent Frequency
never married 31.3
married 56.1
widowed 2.5
divorced /separated 10.1

A factory manager needs to understand how many products are defective versus how many are produced. The number of expected defects is listed in Table 11.5.

Number producedNumber defective0-1005101-2006201-3007301-4008401-50010

A random sample was taken to determine the actual number of defects. Table 11.6 shows the results of the survey.

Number producedNumber defective0-1005101-2007201-3008301-4009401-50011

State the null and alternative hypotheses needed to conduct a goodness-of-fit test, and state the degrees of freedom.

Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

A manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and his or her choice of sport, 643members of the sports club are randomly selected. Conduct a test of independence.

Sport18-2526-3031-4041andover
racquetball42583046
tennis58763865
swimming72606533

a. Explain why a goodness-of-fit test and a test of independence are generally right-tailed tests.

b. If you did a left-tailed test, what would you be testing?

In 2007, the United States had 1.5 million homeschooled students, according to the U.S. National Center for Education Statistics. In Table 11.56 you can see that parents decide to homeschool their children for different reasons, and some reasons are ranked by parents as more important than others. According to the survey results shown in the table, is the distribution of applicable reasons the same as the distribution of the most important reason? Provide your assessment at the

5% significance level. Did you expect the result you obtained?

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