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Question: Conditions Explain why it is not safe to use the methods of this chapter to perform inference in each of the following settings.

(a) Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice result in more infected ticks. The mouse population in turn rises and falls with the abundance of acorns, their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched. The next spring, 54 of the 72 mice trapped in the first area were in breeding condition, versus 10 of the 17 mice trapped in the second area.

(b) Who texts more-males or females? For their final project, a group of AP® Statistics students investigated their belief that females text more than males. They asked a random sample of 31 students-15 males and 16 females-from their school to record the number of text messages sent and received over a 2-day period. Boxplots of their data are shown below.

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