{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Statistics Homework Solutions 135

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

This preview shows page 1. Sign up to view the full content.

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.
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

{[ snackBarMessage ]}