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27 lines
1.2 KiB
HTML
27 lines
1.2 KiB
HTML
<div class="book-prose">
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<h2 id="checkpoints" class="book-prose__heading">Checkpoints</h2>
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<details class="book-question">
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<summary class="book-question__prompt">If \(\mu=70,\sigma=10\), find z-score of \(x=85\).</summary>
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<div class="book-question__solution">
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<p><strong>Answer:</strong> \(z=\frac{85-70}{10}=1.5\).</p>
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</div>
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</details>
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<details class="book-question">
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<summary class="book-question__prompt">If \(z=-0.8\), \(\mu=50,\sigma=5\), find \(x\).</summary>
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<div class="book-question__solution">
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<p><strong>Answer:</strong> \(x=50+(-0.8)(5)=46\).</p>
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</div>
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</details>
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<details class="book-question">
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<summary class="book-question__prompt">In a normal model, what does \(P(Z>2)\) represent?</summary>
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<div class="book-question__solution">
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<p><strong>Answer:</strong> Area to the right of z=2 (upper-tail probability).</p>
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</div>
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</details>
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<details class="book-question">
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<summary class="book-question__prompt">Why do we standardize before using z-tables?</summary>
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<div class="book-question__solution">
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<p><strong>Answer:</strong> Tables are for \(N(0,1)\), so we convert \(X\) to \(Z\).</p>
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</div>
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</details>
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</div>
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