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- *Please work with your version, don't copy from other sources use table t in doing it 1. A testing engineer is stress testing an Application Programming Interface (API) made by his company on twenty servers from two different vendors. The maximum number of hits from each server from each vendor is as follows (in thousands):Server Vendor A: 42.1 ; 41.3 ; 42.4 ; 43.2 ; 41.8 ; 41.0 ; 41.8 ; 42.8 ; 42,3 ; 42.7Server Vendor B: 42.7 ; 43.8 ; 42.5 ; 43.1 ; 44.0 ; 43.6 ; 43.3 ; 43.5 ; 41.7 ; 44.1It is known that the two stress test data are normally distributed with the same variance.a. Compute the 99% two-sided confidence interval for the difference in the mean number of hits from the servers of the two vendors.b. Compute the 97.5% upper confidence interval (97.5% upper confidence interval) for the difference in the average number of hits from the servers of the two vendors.c. Compute a lower confidence interval of 90% for the difference in the average number of hits from the servers of the…Consider the following research hypothesis and the p-value obtainedvia 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 0.14Consider 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.
- The space shuttle is about to go up on another flight.With probability pt(z), it will use z type t fuel cells duringthe flight. The shuttle has room for at most W fuel cells. Ifat any time during the flight, all the type t fuel cells burnout, a cost ct will be incurred. Assuming the goal is tominimize the expected cost due to fuel cell shortages, set upa dynamic programming model that could be used todetermine how to stock the space shuttle with fuel cells.There are T different types of fuel cells.Jointsoft is a great over-the-counter arthritis medication, but who will ever know about it? Unfortunately, many people with arthritis tend to be elderly and rather immobile, so advertisers of arthritis medications face limitations in ways to get their messages across. Currently, their best modes of advertisement are commercials on daytime TV, advertisements in select magazines, fliers in convalescent homes, and advertisements on certain Web pages. Marketing managers for Jointsoft are investigating these four modes of advertisement in four small communities (with a different mode of advertisement in each community). The marketing managers have selected 38 days at random and are looking at the daily sales (in dollars) in each of the communities on each of these days. Here is what they have to work with. Groups Sample size Sample mean Sample variance TV 38 573.0 1777.7 Magazines 38 554.3 2761.0 Fliers 38 584.0 2445.4 Web pages 38 587.3 2943.2Jointsoft is a great over-the-counter arthritis medication, but who will ever know about it? Unfortunately, many people with arthritis tend to be elderly and rather immobile, so advertisers of arthritis medications face limitations in ways to get their messages across. Currently, their best modes of advertisement are commercials on daytime TV, advertisements in select magazines, fliers in convalescent homes, and advertisements on certain Web pages. Marketing managers for Jointsoft are investigating these four modes of advertisement in four small communities (with a different mode of advertisement in each community). The marketing managers have selected 33 days at random and are looking at the daily sales (in dollars) in each of the communities on each of these days. Here is what they have to work with.
- A researcher is interested in understanding how the flexibility of vacation policies at a company influence employee satisfaction with their job. Company 1, Vance Refrigeration, has a 2 week vacation policy in which employees can take those 2 weeks at any time during the year. Company 2, Dunder Mifflin Paper Company, has a 2 week vacation policy in which employees can only take vacation days during specific pre-approved times of year. What is the confound?What is referred to as mixed-integer programming MIP?Anthony Brat is convinced that Seniors really are the most intelligent students on campus. However, nobody will believe him. So he decided to prove this (unquestionable) fact by providing an creative processing test that a psychology professor let him borrow. The test scores from 0 to 80, with 0 being a low score and 80 being a high score. So, Mr. A. Brat went around and administered this test to 8 students from the Freshman, Sophomore, Junior, and Senior classes and got these scores. He received the following scores: Freshman Sophomore Junior Senior 60 60 45 72 63 66 62 59 64 62 67 65 1. What is the null and research hypothesis for this study? 2. What are the degrees of freedom within and the degrees of freedom between?3. What are the critical values for that statistical test with this data at α = 0.05? α = 0.01? 4. What is your sum of squares within, sum of squares between, and sum of squares total? 5. What is your observed F value? 6. What is your statistical…
- Anthony Brat is convinced that Seniors really are the most intelligent students on campus. However, nobody will believe him. So he decided to prove this (unquestionable) fact by providing an creative processing test that a psychology professor let him borrow. The test scores from 0 to 80, with 0 being a low score and 80 being a high score. So, Mr. A. Brat went around and administered this test to 8 students from the Freshman, Sophomore, Junior, and Senior classes and got these scores. He received the following scores: Freshman Sophomore Junior Senior 60 60 45 72 63 66 62 59 64 62 67 65 4. What is your sum of squares within, sum of squares between, and sum of squares total? 5. What is your observed F value? 6. What is your statistical decision?Workers in Company XYZ used 200 computers for their daily operation. In that company, the computers are categorized into type A and B. The workers usually complained that they experience performance problems with the computers more than once per week. Based on a survey, the company found that fifty of the Type A computers will encounter problems more than once per week. Meanwhile seventy-five of the Type B computers do not experience problems more than once per week. There are 120 Type B computers in the company. Based on the above scenario determined whether the events “Type A computer” and “experience problems more than once per week” are independent event? Explain.SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.