ME345_Lecture_13

ME345_Lecture_13 - Solution : Example Given : A...

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M E 345 Spring 2008 Professor John M. Cimbala Lecture 13 02/13/2008 Today, we will : Review the pdf module: Hypothesis Testing Do some example problems – hypothesis testing Example Given : A manufacturer claims that their pressure sensor will sound an alarm when the pressure exceeds 120 psi. 20 tests are performed in a tank, in which the pressure is slowly increased. The pressure at which the alarm sounds is recorded for each test. The results are: 121 0 psi x . = (sample mean – Note that we use x instead of P for convenience) S = 3.0 psi (sample standard deviation) To do : Should we accept the manufacturer’s claim?
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Unformatted text preview: Solution : Example Given : A manufacturer claims that a strut can hold 100 kg before failing. We perform 6 tests to failure, and record the load: n = 6 (number of data points in the sample) 98 0 kg x . = (sample mean) S = 24.6 kg (sample standard deviation) To do : Determine if we should accept or reject the manufacturers claim. Solution : The null hypothesis is stated: critical value = 100 kg, and the side is > (the least likely scenario) since our x < . The alternative hypothesis is < ....
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ME345_Lecture_13 - Solution : Example Given : A...

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