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--- b:head_first_statistics:constructing_confidence_intervals [2019/12/09 10:57] – [The t-distribution vs. the normal distribution] hkimscil
+++ b:head_first_statistics:constructing_confidence_intervals [2023/11/15 08:24] (current) – [Four steps for finding confidence intervals] hkimscil
@@ Line 10: / Line 10: @@
 Rather than specify an exact value, we can specify two values we expect flavor duration to lie between.
-[{{:b:head_first_statistics:pasted:20191203-121916.png  }}] : As an example, you may want to choose a and b so that there’s a 95% chance of the interval containing the population mean. Finding the exact spot of a and b is the problem we are trying to solve.
+<WRAP group>
+<WRAP 25% column>
+$\Large{P(a < \mu < b) = 0.95} $
+</WRAP>
+<WRAP 50% column>
+As an example, you may want to choose a and b so that there’s a 95% chance of the interval containing the population mean. Finding the exact spot of a and b is the problem we are trying to solve.
+</WRAP>
+</WRAP>
 The far side of each end, (a, b) is called a **//confidence interval//**.
@@ Line 99: / Line 106: @@
   * 따라서 위의 경우는 95%에 해당하는 probability는
     * $P(-2 < z < 2) = .95$
-    * $P(-2 < \dfrac {X - \overline{X}}{sd} < 2) = .95$
+    * $P(-2 < \dfrac {\overline{X} - \mu}{sd} < 2) = .95$
     * 이렇게 계산을 하면
     * $P(\overline{X} -1 < \mu < \overline{X} + 1) = .95 $
@@ Line 145: / Line 152: @@
 {{:b:head_first_statistics:pasted:20191203-133241.png}}
-v is called the **<fc #ff0000><fs large>number of degrees of freedom</fs></fc>**
+v is called the number of **<fc #ff0000><fs large>degrees of freedom</fs></fc>**
 {{:b:head_first_statistics:pasted:20191203-133508.png}}
@@ Line 154: / Line 162: @@
 ==== Step 4: Find the confidence limits ====
 {{:b:head_first_statistics:pasted:20191203-133742.png}}
+Use degrees of freedom with alpha (p-level)
 ===== The t-distribution vs. the normal distribution =====