Difference between revisions of "Hypothesis Testing"
(→A ProblemM. K. Chung's lecture notes, 2003.) |
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I believe that dogs are as smart as people. Assume IQ of a dog follows {{#tag:math|Xi \sim N(\mu,102)}}. IQ of 10 dogs are measured: 30, 25, 70, 110, 40, 80, 50, 60, 100, 60. We want to test if dogs are as smart as people by testing | I believe that dogs are as smart as people. Assume IQ of a dog follows {{#tag:math|Xi \sim N(\mu,102)}}. IQ of 10 dogs are measured: 30, 25, 70, 110, 40, 80, 50, 60, 100, 60. We want to test if dogs are as smart as people by testing | ||
− | + | {{#tag:math|H_0 : \mu = 100 \text{vs.} H_1 : \mu < 100}}. | |
One reasonable thing one may try is to see how high the sample mean is. | One reasonable thing one may try is to see how high the sample mean is. |
I believe that dogs are as smart as people. Assume IQ of a dog follows [math]Xi \sim N(\mu,102)[/math]. IQ of 10 dogs are measured: 30, 25, 70, 110, 40, 80, 50, 60, 100, 60. We want to test if dogs are as smart as people by testing
[math]H_0 : \mu = 100 \text{vs.} H_1 : \mu \lt 100[/math].
One reasonable thing one may try is to see how high the sample mean is.
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