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11.5 Test for Homogeneity

Whether two separate populations follow the same unknown distribution: identical arithmetic to the independence test, but a different sampling design and hypothesis.

Introductory Business Statistics 2e, 11.5 Test for Homogeneity

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7 exercises

11.5 Exercise 3

A math teacher wants to see if two of their classes have the same distribution of test scores. What test should they use?

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11.5 Exercise 5

A market researcher wants to see if two different stores have the same distribution of sales throughout the year. What type of test should they use?

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11.5 Exercise 7

What condition must be met to use the test for homogeneity?

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11.5 Exercise 9

df = _______

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11.5 Exercise 12

A psychologist is interested in testing whether there is a difference in the distribution of personality types for business majors and social science majors. The results of the study are shown in the table. Conduct a test of homogeneity. Test at a 5% level of significance.

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11.5 Exercise 14

A fish and wildlife technician is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were…

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11.5 Exercise 16

When looking at energy consumption, we are often interested in detecting trends over time and how they correlate among different countries. The information in the table shows the average energy use (in units of kg of oil equivalent per capita) in the USA and the joint European Union countries (EU) for a specific six-year period. Do the energy use values in these two areas come from the same distri…

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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.