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IEE380Summer09_Q7_Solutions

# IEE380Summer09_Q7_Solutions - IEE 380 Summer 2009 Quiz#7A...

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IEE 380 Summer 2009 Name:__________________________ Quiz #7A The time to complete a manual task in a manufacturing operation is considered to be a normally distributed random variable with known standard deviation of .05 minutes. A sample of 5 is taken: .49 min, .52 min, .50 min, .46 min and .49 min. a. Show the null and alternative hypotheses to test if the population mean is < .50 min. b. What is your conclusion? Show all math and clearly state the conclusion in words. Use α = . 05 Part a: H 0 : μ = .50 H 1 μ < .50 For part b, Reject H 0 if z 0 < -1.65 because z .05 = 1.65 IEE 380 Summer 2009 Name:__________________________ Quiz #7B The viscosity of a fluid is a normally distributed random variable with known variance of .06 centipoise 2 . Six samples of this fluid are taken (all in units of centipoise): 1.3, 1.4, 1.4, 1.2, 1.3, 1.3. a. Show the null and alternative hypotheses to test if the population mean is > 1.20 centipoise. b. What is your conclusion? Show all math an clearly state the conclusion in words. Use α = .05 Part a: H 0 : μ = 1.2 H 1 μ > 1.2 For part a, Reject H 0 if z 0 > 1.65 because z .05 = 1.65 357 .

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