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ME345_Lecture_14

ME345_Lecture_14 - 6 trips without the gadget and 6(nearly...

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M E 345 Spring 2008 Professor John M. Cimbala Lecture 14 02/15/2008 Today, we will : Do another example problem – hypothesis testing Review the pdf module: Two Samples Hypothesis Testing Do some example problems – two samples hypothesis testing Do C a n d y Q u e s t i o n s f o r C a n d y F r i d a y Example Given : A manufacturer claims that a strut can hold 100 kg before failing. We perform 10 tests to failure, and record the load: n = 10 (number of data points in the sample) 101 4 kg x . = (sample mean) S = 2.3 kg (sample standard deviation) To do : Determine if we should accept or reject the manufacturer’s claim. Solution : The null hypothesis is stated: critical value μ 0 = 100 kg, and the “side” is μ < μ 0 (the least likely scenario) since our x > μ 0 . The alternative hypothesis is μ > μ 0 .

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