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Chapter 11: Q.30 (page 656)

What is the test statistic?

Short Answer

Expert verified

Test statistics is55.888.

Step by step solution

01

Given Information

Given data:

02

Explanation

Test static of independence is given by,

Test statistic =∑i×j(O-E)2E

To calculate (O-E)2Eusing the formula (B4-B14)2B14and table of the test statistic is given below,

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Most popular questions from this chapter

Read the statement and decide whether it is true or false.

The number of degrees of freedom for a test of independence is equal to the sample size minus one.

Read the statement and decide whether it is true or false.

The test to use to determine if a six-sided die is fair is a goodness-of-fit test.

Use a goodness-of-fit test to determine if high school principals believe that students are absent equally during the week or not.

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

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?
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