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 < 0 (the least likely scenario) since our x > 0 . The alternative hypothesis is > 0 .
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Example Given : We buy a gadget that is supposed to increase the gas mileage of our car. We take
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Unformatted text preview: 6 trips without the gadget and 6 (nearly identical) trips with the gadget. The results: x A (mpg without gadget) x B (mpg with gadget) 25.6 26.2 27.3 27.1 24.2 24.1 28.7 29.2 23.6 24.5 25.1 24.9 To do : Determine if there is a statistically significant improvement in gas mileage. Solution : Example Given : [Continuation of previous example] We buy a gadget that is supposed to increase the gas mileage of our car. We take 6 trips without the gadget and 8 trips with the gadget. The results: x A (mpg without gadget) x B (mpg with gadget) 25.6 26.2 27.3 27.1 24.2 24.1 28.7 29.2 23.6 24.5 25.1 24.9 25.1 25.3 To do : Determine if there is a statistically significant improvement in gas mileage. Solution :...
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ME345_Lecture_14 - 6 trips without the gadget and 6 (nearly...

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