Unformatted text preview: 11. (a) (ii) The scale is out of calibration. If H is rejected, we conclude that H is false, so μ 10. (b) (iii) The scale might be in calibration. If H is not rejected, we conclude that H is plausible, so μ might be equal to 10. (c) No. The scale is in calibration only if μ 10. The strongest evidence in favor of this hypothesis would occur if X 10. But since there is uncertainty in X , we cannot be sure even then that μ 10. 13. No, she cannot conclude that the null hypothesis is true, only that it is plausible. 15. (i) H : μ 1 2. For either of the other two hypotheses, the P-value would be 0.025. 17. (a) Yes. The value 3.5 is greater than the upper confidence bound of 3.45. Quantities greater than the upper confidence bound will have P-values less than 0.05. Therefore P 05. (b) No, we would need to know the 99% upper confidence bound to determine whether P 01....
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- Fall '11
- Statistics, Null hypothesis, Statistical hypothesis testing, 1%, H0, 2%