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Chapter 11: Q.71 (page 658)

The mean and the median of the chi-square distribution are the same if df=24.

Short Answer

Expert verified

The statement is false.

Step by step solution

01

Given Information

The mean and the median of the chi-square distribution are the same if df=24.

02

Explanation

The graph of the chi-square distribution becomes increasingly symmetrical as the number of degrees of freedom grows. The chi-square distribution's standard deviation is twice the mean. If df=24, the chi-square distribution's mean and median are the same.

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Most popular questions from this chapter

A major food manufacturer is concerned that the sales for its skinny french fries have been decreasing. As a part of a feasibility study, the company conducts research into the types of fries sold across the country to determine if the type of fries sold is independent of the area of the country. The results of the study are shown in Table 11.48. Conduct a test of independence.

Suppose an airline claims that its flights are consistently on time with an average delay of at most 15minutes. It claims that the average delay is so consistent that the variance is no more than 150minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25flights. The average delay for those 25flights is 22minutes with a standard deviation of 15minutes.

If an additional test were done on the claim of the average delay, which distribution would you use?

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.

Sport18-2526-3031-4041and overracquetball42583046tennis58763865swimming72606533

The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of 100 players from different organizations.

Decide whether the following statements are true or false:

As the number of degrees of freedom increases, the graph of the chi-square distribution looks more and more symmetrical.
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