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Chapter 11: Q 55 (page 658)

Which test would you use to decide whether two factors have a relationship?

Short Answer

Expert verified

We use test for independence

Step by step solution

01

Given Information

We have to decide which test is appropriate for two factors that have a relationship

02

Explanation

Because the test for independence is a form of Chi-squared test that may be used to determine if two variables are independent or dependent when there is a relationship between them, it is reasonable to use it to determine whether two factors have a relationship.

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Most popular questions from this chapter

According to an avid aquarist, the average number of fish in a 20-gallon tank is 10, with a standard deviation of two. His friend, also an aquarist, does not believe that the standard deviation is two. She counts the number of fish in 15other 20-gallon tanks. Based on the results that follow, do you think that the standard deviation is different from two? Data:11;10;9;10;10;11;11;10;12;9;7;9;11;10;11

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 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.

How did you know to test the variance instead of the mean?

A company packages apples by weight. One of the weight grades is Class Aapples. Class Aapples have a mean weight of 150g, and there is a maximum allowed weight tolerance of 5%above or below the mean for apples in the same consumer package. A batch of apples is selected to be included in a ClassAapple package. Given the following apple weights of the batch, does the fruit comply with the Class Agrade weight tolerance requirements. Conduct an appropriate hypothesis test.

(a) at the 5%significance level

(b) at the 1%significance level Weights in selected apple batch (in grams): 158; 167; 149; 169;164; 139; 154; 150; 157 ; 171; 152; 161 ; 141; 166; 172;

If df=2, the chi-square distribution has a shape that reminds us of the exponential.
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