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Timeline for Hypothesis testing for mean

Current License: CC BY-SA 3.0

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Feb 26, 2015 at 10:55 answer added Glen_b timeline score: 1
Nov 10, 2011 at 20:17 comment added Dilip Sarwate You know that the failure rate $h_A$ of A is smaller than the failure rate $h_B$ of B. Since the failures of B are exponentially distributed with mean $n_0$, we have that $h_B=1/n_0$. Since X is also exponentially distributed,$$h_A=\frac{1}{E[X]}=\frac{1}{m}<h_B=\frac{1}{n_0},$$ that is, $m>n_0$. So if $n_0$ is a known quantity, then the null hypothesis $m\leq m_0$ is trivially false if $m_0\leq n_0$ and untestable if $n_0<m_0$ since samples of B have no information about A. If $n_0$ is not known, test null hypothesis $n_0\leq m_0$ and if you reject it, then reject $m\leq m_0$ also.
Nov 10, 2011 at 8:19 history tweeted twitter.com/#!/StackStats/status/134545789451120641
Nov 10, 2011 at 7:39 history edited user88 CC BY-SA 3.0
edited tags; edited title
S Nov 10, 2011 at 7:09 history suggested Xi'an CC BY-SA 3.0
lateXing math again
Nov 10, 2011 at 6:23 review Suggested edits
S Nov 10, 2011 at 7:09
Nov 10, 2011 at 3:36 history asked RIchard Williams CC BY-SA 3.0