Hypothesis Testing: One and Two Sample Problems - Prof. John Mich Cimbala, Study notes of Mechanical Engineering

Download Hypothesis Testing: One and Two Sample Problems - Prof. John Mich Cimbala and more Study notes Mechanical Engineering in PDF only on Docsity! M E 345 Fall 2009 Professor John M. Cimbala Lecture 14 09/25/2009 Today, we will: • Do some review example problems – hypothesis testing (one sample) • Review the pdf module: Two Samples Hypothesis Testing • Do some example problems – two samples hypothesis testing Example: Hypothesis testing Given: A manufacturer claims that a plastic part is at least 6.00 cm long. You test the claim by performing a hypothesis test. You pick 30 parts at random from the assembly line, and carefully measure the length of each one. You calculate x = 6.053 cm and S = 0.104 cm. To do: To what confidence level (%) can we claim that the manufacturer’s claim is true? Solution: Example: Hypothesis testing Given: A manufacturer claims that a plastic part is at least 6.00 cm long. You test the claim by performing a hypothesis test. You pick 30 parts at random from the assembly line, and carefully measure the length of each one. You calculate x = 5.983 cm and S = 0.0670 cm. To do: Should we accept or reject the manufacturer’s claim? [Also provide the confidence level for your decision.] Solution: