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Chapter 11: Q 56 (page 658)

Which test would you use to decide if two populations have the same distribution?

Short Answer

Expert verified

The appropriate test is test for homogeneity

Step by step solution

01

Given Information

We have to decide which test is appropriate for two populations that have the same distribution.

02

Explanation

The homogeneity test is a method of Chi-squared test that is being used to see if two populations with substantial variations have same distribution. As a result, the homogeneity test can be used to assess if two populations have the same distribution when the provided population distributions are not defined.

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Most popular questions from this chapter

The City of South Lake Tahoe, CA, has an Asian population of 1,419people, out of a total population of 23,609. Suppose that a survey of 1,419self-reported Asians in the Manhattan, NY, area yielded the data in Table 11.38. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.

RaceLake Tahoe FrequencyManhattan FrequencyAsian Indian131174Chinese118557Filipino1,045518Japanese8054Korean1229Vietnamese921Other2466

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?

What is the test statistic?

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;

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