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Chapter 11: 39 (page 657)

Is this a right-tailed, left-tailed, or two-tailed test? Explain why.

Short Answer

Expert verified

It is a right-tailed test.

Step by step solution

01

Given Information

Given data:

02

Explanation

The test of independence is always a right-tailed test, depending on how the test statistic is calculated.

We can assume that because observed values are not close together, big test statistics will result, and this test statistic will fall on the right tail of the chi-square curve, as it does in a goodness-of-fit test.

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Most popular questions from this chapter

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

X2test statistic is -------

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

Determine P value.

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, but 45 flights were surveyed, which distribution would you use?

According to Dan Lenard, an independent insurance agent in the Buffalo, N.Y. area, the following is a breakdown of the amount of life insurance purchased by males in the following age groups. He is interested in whether the age of the male and the amount of life insurance purchased are independent events. Conduct a test for independence.

Age of MalesNone<\(200,000\)200,000-\(400,000\)401,001-\(1,000,000\)1,000,001+20-294015400530-3935520201040-4920030153050+403015010

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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