b:head_first_statistics:constructing_confidence_intervals
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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| b:head_first_statistics:constructing_confidence_intervals [2023/11/15 08:05] – [The problem with precision] hkimscil | b:head_first_statistics:constructing_confidence_intervals [2023/11/15 08:24] (current) – [Four steps for finding confidence intervals] hkimscil | ||
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| Rather than specify an exact value, we can specify two values we expect flavor duration to lie between. | Rather than specify an exact value, we can specify two values we expect flavor duration to lie between. | ||
| - | \begin{align} | + | <WRAP group> |
| - | \LARGE{P(a < \mu < b) = 0.95} | + | <WRAP 25% column> |
| - | \end{align} | + | $\Large{P(a < \mu < b) = 0.95} $ |
| - | + | </ | |
| - | 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 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. | ||
| + | </ | ||
| + | </ | ||
| The far side of each end, (a, b) is called a **// | The far side of each end, (a, b) is called a **// | ||
| Line 103: | Line 106: | ||
| * 따라서 위의 경우는 95%에 해당하는 probability는 | * 따라서 위의 경우는 95%에 해당하는 probability는 | ||
| * $P(-2 < z < 2) = .95$ | * $P(-2 < z < 2) = .95$ | ||
| - | * $P(-2 < \dfrac {X - \overline{X}}{sd} < 2) = .95$ | + | * $P(-2 < \dfrac {\overline{X} |
| * 이렇게 계산을 하면 | * 이렇게 계산을 하면 | ||
| * $P(\overline{X} -1 < \mu < \overline{X} + 1) = .95 $ | * $P(\overline{X} -1 < \mu < \overline{X} + 1) = .95 $ | ||
b/head_first_statistics/constructing_confidence_intervals.1700003129.txt.gz · Last modified: 2023/11/15 08:05 by hkimscil