32 lines
1.5 KiB
Plaintext
32 lines
1.5 KiB
Plaintext
<section xml:id="sec-Two-Sample-Tests" xmlns:xi="http://www.w3.org/2001/XInclude">
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<title>Two Sample Tests</title>
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<p>
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Text of section.
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</p>
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<exercises xml:id="exercises-Two-Sample-Tests">
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<exercise>
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<statement>
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<p>
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A farmer is testing an experimental new plant fertilizer that is supposed to increase the weight of a particular apple variety.
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A control sample of 25 apples grown using the usual fertilizer have a mean weight of 75 grams and a sample variance of 90 grams<m>^2</m> (for an individual apple).
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An experimental sample of 25 apples grown using the new fertilizer have a mean weight of 79 grams and a sample variance of 90 grams<m>^2</m>.
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</p>
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</statement>
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</exercise>
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<exercise>
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<statement>
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<p>
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We have an established factory which produces coins that are close to fair.
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We're opening up a second factory, and we'd like to ensure the machines are calibrated to produce coins which behave similarly to the ones produced in the established factory.
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We pick one sample coin from each factory, and flip each sample coin 100 times.
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The coin from the established factory flips 52 heads in 100 flips.
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The coin from the new factory flips 62 heads in 100 flips.
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Is this strong enough evidence to reject the null hypothesis that the two factories produce similar coins at a 0.05 significance level?
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</p>
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</statement>
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</exercise>
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</exercises>
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</section> |