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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Solve for subsections:
- a
- b
- c
![Authors of a computer algebra system wish to compare the speed of a new computational
algorithm to the currently implemented algorithm. They apply the new algorithm to 50
standard problems; it averages 8.16 seconds with true standard deviation o = = 0.17 second.
The current algorithm averages 8.21 seconds on such problems. Test, at the 1% level of
significance, the alternative hypothesis that the new algorithm has a different average time
than the current algorithm.
(a) What are the null and alternate hypotheses?
(b) What is a?
(c) What is the probability you will make a Type I error in your decision?
(d) Identify your test statistic, and compute its z-score.
(e) Do you reject or fail to reject?](https://content.bartleby.com/qna-images/question/23388c82-c83c-484d-9931-3d5e6189a0cd/5c44d993-734c-4927-bf94-3df0926fc4f6/yvbj0ns_thumbnail.png)
Transcribed Image Text:Authors of a computer algebra system wish to compare the speed of a new computational
algorithm to the currently implemented algorithm. They apply the new algorithm to 50
standard problems; it averages 8.16 seconds with true standard deviation o = = 0.17 second.
The current algorithm averages 8.21 seconds on such problems. Test, at the 1% level of
significance, the alternative hypothesis that the new algorithm has a different average time
than the current algorithm.
(a) What are the null and alternate hypotheses?
(b) What is a?
(c) What is the probability you will make a Type I error in your decision?
(d) Identify your test statistic, and compute its z-score.
(e) Do you reject or fail to reject?
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