mont4e_sm_ch15_sec02 - CHAPTER 15 Section 15-2 15-1 a) 1....

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Unformatted text preview: CHAPTER 15 Section 15-2 15-1 a) 1. The parameter of interest is median of pH. . 7 ~ : 3 . 7 ~ : . 2 1 = H H 4. =0.05 5. The test statistic is the observed number of plus differences or r + = 8. 6. We reject H if the P-value corresponding to r + = 8 is less than or equal to = 0.05. 7. Using the binomial distribution with n = 10 and p = 0.5, P-value = 2P(R + 8 | p = 0.5) = 0.1 8. Conclusion: we cannot reject H . There is not enough evidence to reject the manufacturers claim that the median of the pH is 7.0 b) 1. The parameter of interest is median of pH. . 7 ~ : 3 . 7 ~ : . 2 1 = H H 4. =0.05 5. The test statistic is n n r z 5 . 5 . * = 6. We reject H if |Z |>1.96 for =0.05. 7. r*=8 and 90 . 1 10 5 . ) 10 ( 5 . 8 5 . 5 . * = = = n n r z 8. Conclusion: we cannot reject H . There is not enough evidence to reject the manufacturers claim that the median of the pH is 7.0 P-value = 2[1 - P(|Z | < 1.90)] = 2(0.0287) = 0.0574 15-2 a) 1. The parameter of interest is median titanium content. 5 . 8 ~ : 3 5 . 8 ~ : . 2 1 = H H 4. =0.05 5. The test statistic is the observed number of plus differences or r + = 7. 6. We reject H if the P-value corresponding to r + = 7 is less than or equal to =0.05. 7. Using the binomial distribution with n=10 and p=0.5, P-value = 2P(R * 7|p=0.5)=0.359 8. Conclusion: we cannot reject H . There is not enough evidence to reject the manufacturers claim that the median of the titanium content is 8.5. b) 1. Parameter of interest is the median titanium content 5 . 8 ~ : . 3 5 . 8 ~ : . 2 1 = H H 4. =0.05 5. Test statistic is n n r z 5 . 5 . = + 6. We reject H if the | Z | > Z 0.025 = 1.96 7. Computation: 34 . 1 20 5 . ) 20 ( 5 . 7 = = z 8. Conclusion, cannot reject H . There is not enough evidence to conclude that the median titanium content differs from 8.5. The P-value = 2*P( | Z | > 1.34) = 0.1802. 15-1 15-3 a) 1. Parameter of interest is the median impurity level. 5 . 2 ~ : . 3 5 . 2 ~ : . 2 1 < = H H 4. =0.05 5. The test statistic is the observed number of plus differences or r + = 2....
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This note was uploaded on 10/12/2009 for the course IND E 315 taught by Professor Kailashkapur during the Spring '09 term at University of Washington.

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mont4e_sm_ch15_sec02 - CHAPTER 15 Section 15-2 15-1 a) 1....

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