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151 lines
5.1 KiB
HTML
151 lines
5.1 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Advanced.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/data/confidence-interval-calculator.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:31:48 GMT -->
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<head>
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<title>Confidence Interval Calculator</title>
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<meta name="description" content="Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents.">
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<link rel="preload" href="../style4.css" as="style">
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<link rel="preload" href="../main4.js" as="script">
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<body id="bodybg" class="adv">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="../index.html"><img src="../images/style/logo-adv.svg" alt="Math is Fun Advanced"></a></div>
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<div id="search" role="search"></div>
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<div id="menuTiny" class="menu"></div>
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</nav>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Confidence Interval Calculator</h1>
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<p>Enter how many in the sample, the mean and standard deviation, choose a confidence level, and the calculation is done live. Read <a href="confidence-interval.html">Confidence Intervals</a> to learn more.</p>
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<div class="script" style="height: 650px;">
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images/confidence.js
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</div>
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<h2>Standard Deviation and Mean</h2>
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<p>Use the <a href="standard-deviation-calculator.html">Standard Deviation Calculator</a> to calculate your sample's standard deviation and mean.</p>
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<div class="center80">
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<p><b>Caution</b>: you should really use the standard deviation of the entire <b>population</b>!</p>
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<p>But you can use the standard deviation of your <b>sample</b> if you have enough observations:<b> at least n=30</b>, the more the better.</p>
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</div>
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<h2>How It Is Calculated</h2>
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<p>The Confidence Interval formula is</p>
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<div class="center larger">x̄ ± Z <span class="intbl"><em>s</em><strong><span style="font-size:120%;">√</span><span class="overline">n</span></strong></span></div>
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<!-- xBAR + Z s/sqr(n) -->
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<p>Where:</p>
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<ul>
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<li><b>x̄ </b>is the mean</li>
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<li><b>Z</b> is the Z-value from the table below</li>
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<li><b>s</b> is the standard deviation</li>
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<li><b>n</b> is the number of observations</li>
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</ul>
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<div class="simple">
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td style="text-align:center;"> </td>
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<td style="text-align:center;"><b>Z</b></td>
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</tr>
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<tr>
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<td align="center" width="100">80%</td>
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<td align="center" width="100">1.282</td>
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</tr>
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<tr>
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<td align="center" width="100">85%</td>
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<td style="text-align:center;">1.440</td>
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</tr>
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<tr>
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<td align="center" width="100">90%</td>
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<td style="text-align:center;">1.645</td>
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</tr>
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<tr>
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<td align="center" width="100">95%</td>
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<td style="text-align:center;">1.960</td>
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</tr>
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<tr>
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<td align="center" width="100">99%</td>
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<td style="text-align:center;">2.576</td>
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</tr>
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<tr>
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<td align="center" width="100">99.5%</td>
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<td style="text-align:center;">2.807</td>
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</tr>
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<tr>
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<td align="center" width="100">99.9%</td>
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<td style="text-align:center;">3.291</td>
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</tr>
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</tbody></table>
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</div>
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<p> </p>
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<div class="related">
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<a href="confidence-interval.html">Confidence Intervals</a>
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<a href="normal-distribution-simulator.html">Normal Distribution Simulator</a>
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<a href="standard-deviation-calculator.html">Standard Deviation Calculator</a>
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<a href="index.html">Data Index</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<footer id="footer" class="centerfull noprint"></footer>
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<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
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