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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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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?
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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