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1. For each of the following assertions, state whether it is a legitimate statistical hypothesis and why: a. H. o > 100 c. H: ss.20 e. H:X – Y = 5 f. H: A< .01, where A is the parameter of an exponential distribution used to model component lifetime b. H. x = 45 d. H: o l0, < 1

1. For each of the following assertions, state whether it is a legitimate statistical hypothesis and why: a. H. o > 100 c. H: ss.20 e. H:X – Y = 5 f. H: A< .01, where A is the parameter of an exponential distribution used to model component lifetime b. H. x = 45 d. H: o l0, < 1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1. For each of the following assertions, state whether it is a legitimate statistical hypothesis and why: b. H: x = 45 d. H: o l0, < 1 a. H: o > 100 c. H: ss.20 e. H: X – Y = 5 f. H: A< .01, where A is the parameter of an exponential distribution used to model component lifetime е. 2. For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscripts 1 and 2 differentiate between quantities for two different populations or samples): a. Η : μ= 100, Η: μ> 100 b. Hg: o = 20, H,: o < 20 c. Hg: p + .25, H;:p = .25 d. Hg: µ - H2 = 25, H̟: µ1 e. Hj: S{ = S%, H,: S{ # S{ Hz> 100 . Η:μ 120, Η : μ 150 g. Hg: 0,l02 = 1, H;; 0 l02 # 1 h. Hg: P1 - P2 = -.1, H;: p - Pr < -.1 S PhotoGrid
Transcribed Image Text:1. For each of the following assertions, state whether it is a legitimate statistical hypothesis and why: b. H: x = 45 d. H: o l0, < 1 a. H: o > 100 c. H: ss.20 e. H: X – Y = 5 f. H: A< .01, where A is the parameter of an exponential distribution used to model component lifetime е. 2. For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscripts 1 and 2 differentiate between quantities for two different populations or samples): a. Η : μ= 100, Η: μ> 100 b. Hg: o = 20, H,: o < 20 c. Hg: p + .25, H;:p = .25 d. Hg: µ - H2 = 25, H̟: µ1 e. Hj: S{ = S%, H,: S{ # S{ Hz> 100 . Η:μ 120, Η : μ 150 g. Hg: 0,l02 = 1, H;; 0 l02 # 1 h. Hg: P1 - P2 = -.1, H;: p - Pr < -.1 S PhotoGrid
3. To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and tests are conducted on each weld in the sample. Weld strength is measured as the force required to break the weld. Suppose the specifications state that mean strength of welds should exceed 100 lb/in²; the inspection team decides to test H: µ = 100 versus H; µ> 100. Explain why it might be preferable to use this H, rather than µ < 100. 4. Let u denote the true average radioactivity level (picocuries per liter). The value 5 pCi/L is considered the dividing line between safe and unsafe water. Would you recommend testing Η , μ= 5versus Η : μ> 5 or H: μ = 5 versus Η: μ < 5?
Transcribed Image Text:3. To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and tests are conducted on each weld in the sample. Weld strength is measured as the force required to break the weld. Suppose the specifications state that mean strength of welds should exceed 100 lb/in²; the inspection team decides to test H: µ = 100 versus H; µ> 100. Explain why it might be preferable to use this H, rather than µ < 100. 4. Let u denote the true average radioactivity level (picocuries per liter). The value 5 pCi/L is considered the dividing line between safe and unsafe water. Would you recommend testing Η , μ= 5versus Η : μ> 5 or H: μ = 5 versus Η: μ < 5?
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