Statistics Homework Solutions 135

Statistics Homework Solutions 135 - 11. (a) (ii) The scale...

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SECTION 6.2 135 5. (a) True. The result is statistically significant at any level greater than or equal to 2%. (b) False. P 0 01, so the result is not statistically significant at the 1% level. (c) True. The null hypothesis is rejected at any level greater than or equal to 2%. (d) False. P 0 01, so the null hypothesis is not rejected at the 1% level. 7. (a) No. The P -value is 0.196, which is greater than 0.05. (b) The sample mean is 73.2461. The sample mean is therefore closer to 73 than to 73.5. The P -value for the null hypothesis μ 73 will therefore be larger than the P -value for the null hypothesis μ 73 5, which is 0.196. Therefore the null hypothesis μ 73 cannot be rejected at the 5% level. 9. (a) H 0 : μ 8. If H 0 is rejected, we can conclude that μ 8, and that the new battery should be used. (b) H 0 : μ 60 000. If H 0 is rejected, we can conclude that μ 60 000, and that the new material should be used. (c) H 0 : μ 10. If H 0 is rejected, we can conclude that μ 10, and that the flow meter should be recalibrated.
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Unformatted text preview: 11. (a) (ii) The scale is out of calibration. If H is rejected, we conclude that H is false, so 10. (b) (iii) The scale might be in calibration. If H is not rejected, we conclude that H is plausible, so might be equal to 10. (c) No. The scale is in calibration only if 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 10. 13. No, she cannot conclude that the null hypothesis is true, only that it is plausible. 15. (i) H : 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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