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 Candy Questions for Candy Friday ExampleGiven: 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 kgx.=(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 μ0= 100 kg, and the “side” is μ< μ0(the least likely scenario) since our x> μ0. •The alternative hypothesis is μ> μ0.
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