<title>Confidence Intervals on the Standard Deviation</title>
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For each value of alpha, the formula for the confidence interval is given
by:
</p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../../../../equations/chi_squ_tut1.svg"></span>
+
+ </p></blockquote></div>
<p>
- <span class="inlinemediaobject"><img src="../../../../../equations/chi_squ_tut1.svg"></span>
+ Where
</p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../../../../equations/chi_squ_tut2.svg"></span>
+
+ </p></blockquote></div>
+<p>
+ is the upper critical value, and
+ </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+ <span class="inlinemediaobject"><img src="../../../../../equations/chi_squ_tut3.svg"></span>
+
+ </p></blockquote></div>
<p>
- Where <span class="inlinemediaobject"><img src="../../../../../equations/chi_squ_tut2.svg"></span> is the upper critical value, and <span class="inlinemediaobject"><img src="../../../../../equations/chi_squ_tut3.svg"></span> is
- the lower critical value of the Chi Squared distribution.
+ is the lower critical value of the Chi Squared distribution.
</p>
<p>
In code we begin by printing out a table header: