problems. Test, at the 1% level of significance, the alternative hypothesis that the new algorithm has a lower average time than the current algorithm.
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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 standard deviation 0.17 second. The current algorithm averages 8.22 seconds on such problems. Test, at the 1% level of significance, the alternative hypothesis that the new algorithm has a lower average time than the current algorithm.An account on server A is more expensive than an account on server B. However, server A is faster. To see if it’soptimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certaincomputer algorithm is executed 30 times on server A and 20 times on server B with the following results:T-Value = -3.12 P-Value = 0.002 DF = 48Is server A really faster? How strong is the evidence? Formulate the suitable hypothesis and alternative and conclude at5% level of significance.Question 14. Consider the following research hypothesis and the p-value obtained via a statistical test. Would this testing have involved one-sample or two-sample hypothesis testing? Does the scenario involved paired or independent samples? Assuming the appropriate testing was used, what would be an appropriate conclusion to draw given the reported results and p-value? Explain the reasoning for your answers. The hypothesis is that students who are familiar with the Theory of Algorithms learn the programming language C++ faster than students who are not familiar with this theory. We have gathered data from 30 students who are familiar with the Theory of Algorithms (Group 1) and 30 students who are not familiar with the Theory of Algorithms (Group 2). Experiments showed students from Group 1 took a mean of 32.5 hours to complete the training course of C++, while students Group 2 the mean was 42.1 hours. The p-value was 0.14.
- Consider the 8-city traveling salesman problem whose links have the associated distances shown in the following table (where a dash indicates the absence of a link). City 1 is the home city. Using 1-2-3-4-5-6-7-8-1 as the initial trial solution, perform three iterations of simulated annealing algorithm.Use the Runge-Kutta Fehlberg Algorithm to approximate the solution to the following initial-value problems. This is a numerical analysis problemCan I please get some assistance with this Prim's algorithm?
- A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 7373 sample problems. The new algorithm completes the sample problems with a mean time of 24.2824.28 hours. The current algorithm completes the sample problems with a mean time of 26.9726.97 hours. Assume the population standard deviation for the new algorithm is 3.5873.587 hours, while the current algorithm has a population standard deviation of 4.0394.039 hours. Conduct a hypothesis test at the 0.050.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let μ1μ1 be the true mean completion time for the new algorithm and μ2μ2 be the true mean completion time for the current algorithm. Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to three decimal places.A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 7373 sample problems. The new algorithm completes the sample problems with a mean time of 24.2824.28 hours. The current algorithm completes the sample problems with a mean time of 26.9726.97 hours. Assume the population standard deviation for the new algorithm is 3.5873.587 hours, while the current algorithm has a population standard deviation of 4.0394.039 hours. Conduct a hypothesis test at the 0.050.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let μ1μ1 be the true mean completion time for the new algorithm and μ2μ2 be the true mean completion time for the current algorithm. Step 1 of 4 : State the null and alternative hypotheses for the test.how to design the propensity rates of this set of equations to apply it to the gillespie algorithm
- 1)Answer using either the standard or 2-phase simplex algorithm. 2)give the initial tableau and each further tableau produced during the execution of the algorithm . 3)if it has an optimal solution give solution if not state whyA systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 38 sample problems. The new algorithm completes the sample problems with a mean time of 22.07 hours. The current algorithm completes the sample problems with a mean time of 22.33 hours. Assume the population standard deviation for the new algorithm is 4.674 hours, while the current algorithm has a population standard deviation of 5.185 hours. Conduct a hypothesis test at the 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let ?1be the true mean completion time for the new algorithm and ?2 be the true mean completion time for the current algorithm. Pay attention to spaces between words. H0: Ha: z-Test Statistic (round to two decimal places) = p-value (round to four decimal places) = Conclusion (write "R" for reject H0, and "F" for fail to reject H0):Consider the following research hypothesis and the p-value obtained via a statistical test. Would this testing have involved one-sample or two-sample hypothesis testing? Does the scenario involved paired or independent samples?Assuming the appropriate testing was used, what would be an appropriate conclusion to draw given the reported results and p-value?Explain the reasoning for your answers.The hypothesis is that students who are familiar with the Theory of Algorithms learn the programming language C++ faster than students who are not familiar with this theory. We have gathered data from 50 students who are familiar with the Theory of Algorithms (Group 1) and 40 students who are not familiar with the Theory of Algorithms (Group 2). Experiments showed students from Group 1 took a mean of 36.5 hours to complete the training course of C++, while students Group 2 the mean was 39.1 hours. The p-value was 0.04.