An Air Force introductory course in electronics uses a personalized system of instruction whereby each student views a videotaped lecture and then is given a programmed instruction text. The students work independently with the text until they have completed the training and passed a test. Of concern is the varying pace at which the students complete this portion of their training program. Some students are able to cover the programmed instruction text relatively quickly, whereas other students work much longer with the text and require additional time to complete the course. The fast students wait until the slow students complete the introductory course before the entire group proceeds together with other aspects of their training.
A proposed alternative system involves use of computer-assisted instruction. In this method, all students view the same videotaped lecture and then each is assigned to a computer terminal for further instruction. The computer guides the student, working independently, through the self-training portion of the course.
To compare the proposed and current methods of instruction, an entering class of 122 students was assigned randomly to one of the two methods. One group of 61 students used the current programmed-text method and the other group of 61 students used the proposed computer-assisted method. The time in hours was recorded for each student in the study. The following data are provided in the data set Training.
Managerial Report
- 1. Use appropriate
descriptive statistics to summarize the training time data for each method. What similarities or differences do you observe from the sample data? - 2. Conduct a hypothesis test on the difference between the population means for the two methods. Discuss your findings.
- 3. Compute the standard deviation and variance for each training method. Conduct a hypothesis test about the equality of population variances for the two training methods. Discuss your findings.
- 4. What conclusion can you reach about any differences between the two methods? What is your recommendation? Explain.
- 5. Can you suggest other data or testing that might be desirable before making a final decision on the training program to be used in the future?
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Chapter 11 Solutions
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
- Two employees (Molly and Jim) must conduct a data analysis project on the success of a firm’s marketing efforts and then write a report of their findings for consideration by the firm’s board. If the first employee, Molly, worked completely alone, she could finish the data analysis component of the project with 30 hours of work and could write the report with an additional 10 hours of work. If Jim worked alone, he would take 48 hours of work to conduct the data analysis and then 12 hours to write the report. Assume that both employees need to contribute to the project, that there would be no benefits to having two people work on the same part of the project (data analysis and writing), and that working on the two parts are independent (i.e. there is no benefit to working on both parts). Which employee has the comparative advantage in conducting the data analysis? Explainarrow_forwardMeghan is a psychology major who is testing a maze for a group of mice to navigate. In order for it to be productive for a class project, she would like the average time for a mouse to complete the maze to be 90 seconds. She randomly selects 28 mice and has each mouse complete the maze. Meghan records the time, in seconds, that each mouse needed to complete the maze. The results are provided in the accompanying data table. Based on research and previous results, Meghan assumes that the population is normally distributed and the population standard deviation is 5.80 seconds. Use Excel to test whether the mean amount of time a mouse completes the maze is 90 seconds, and then draw a conclusion in the context of the problem, where α=0.10. Time (seconds) 85.71 93.16 87.00 89.71 94.26 92.05 86.16 82.16 94.76 HelpCopy to ClipboardDownload CSV Select the correct answer below:…arrow_forwardAfter more than 75 years in the business, Walsworth Pub-lishing’s leadership was well aware of the efforts that go into juggling school work and the production of a high-quality school yearbook. They examined their communication and production processes and decided to implement the Information Builders’ WebFOCUS-based reporting portal, an online dashboard. Each of the more than 4,000 schools had its own dashboard, and the volunteer student staff and faculty advisor could access the dashboard in real time. The online dashboard contained notices, progress toward deadlines, alerts about missing or corrupt content, and more. What should be the research measure(s) to determine the effectiveness of the new online dashboard process for improving efficiency and quality of each school’s yearbook?arrow_forward
- Approaching the month of Ramadan, PT Prima Sehat predicts that there will be an increase in demand for electronic goods, both TVs and microwaves. All of these electronic products have the same processing process, but have different processing times. For TV requires 4 hours of electronic processing and 2 hours of assembly. While the microwave requires 3 hours of electronic processing time and 1 hour of assembly. Of the current capacity, there is a working time for electronics as much as 240 hours, and per work time as much as 100 hours. The profit for each product is 7 (in tens of thousands) and 5 (in tens of thousands). Please use the simplex method linear programming method to solve the above casearrow_forwardWhen a company offers a new product or service, they estimate how much of that product or service people will want at different prices. This is referred to as the product or service demand . As the price of a product or service increases, the demand usually decreases, and this drives the price down. Companies use the estimated demand to determine how much of a product or service they are willing to supply at different prices. As the price of a product or service increases, companies are willing to supply more of it because they will earn more money. If you graph the demand and the supply curves on the same xy-plane, they will sometimes intersect at the point where the price and the supply are in equilibrium. Consider the scenario below. Yaseen is a local artist who wants to increase the amount of money she earns every month by selling at-home painting kits. These kits will include a photograph of the finished painting, a link and password to Yaseen’s YouTube channel where she will…arrow_forwardIKEA has a contract to deliver 100, 250, 190, 140, 220, and 110 home windows over the next 6 months. Production cost (labor, material, and utilities) per window varies by period and is estimated to be $50, $45, $55, $48, $52, and $50 over the next 6 months. To take advantage of the fluctuations in manufacturing cost, IKEA can produce more windows than needed in a given month and hold the extra units for delivery in later months. This will incur a storage cost at the rate of $8 per window per month, assessed on the end-of season inventory. Now IKEA wants to minimize their respective cost. Based on this data answer the following questions Qus.1)Write down the objective function of the linear programming consistent with the objective of IKEA.arrow_forward
- . Embassy motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Lady-Sport model is slightly larger uses a more traditional engine, and is specifically designed to appeal to women riders. Embassy produces the engines for both models at its Des Moines, Iowa, plant. Each EZ-Rider engine require 6 hours of manufacturing time and each Lady-sport engine requires 3 hours of manufacturing time. The Des Moines plant has 2100 hours of engine manufacturing time available for the next production period. Embassy’s motorcycle frame supplier can supply as many EZ-Rider frames as needed. However, the Lady-Sport frame is more complex and the supplier can provide only up to 280 Lady sport frames for the next production period. Final assembly and testing requires 2 hours for each EZ-Rider model and 2.5 hours for each Lady-Sport model. A maximum of 1000 hours of assembly and…arrow_forwardYou have been tasked with examining the queueing system of a continuously operating ride at a theme park. However, there is not a position where you can fully see the entire queue. In particular, if there are 9 or fewer riders, you cannot determine the exact number of riders. You can always see the 10th rider in line (if there are 10 or more riders). Similarly, you cannot see if there are 31 or more riders in line. You can always see the 30th rider in line. You do know, however, that there can be at most 40 riders in line. The data below provides the fraction of time that you observed k = 10, 11, . . . , 30 for each individual k. These frequencies total .9 (90% of the time). You observed that .04 of a fraction of time (4%), there were 9 or fewer riders in line and that .06 of a fraction of time (6%), there were 31 or more riders in line. It is well known that riders arrive to the line at a rate of 30 per hour and the average ride time is 10 minutes. (a) Determine an…arrow_forwardPlease solve all the questions.arrow_forward
- A stable population of 35,000 birds lives on three islands. Each year 10% of the population on island A migrates to island B, 20% of the population on island B migrates to island C, and 5% of the population on island C migrates to island A. Find the number of birds on each island if the population count on each island does not vary from year to year.arrow_forwardYour company decides to conduct some production analysis for two of its most popular brands of cups. A carton of Brand X takes 10 hours to produce and 5 hour to package. A carton of Brand Y takes 15 hours to produce and 25 hours to package. If there are exactly 300 hours per month for production and exactly 325 hours per month for packaging, complete the following questions to determine how many cartons of each type of cup will be ready for shipping using all the available time. Create a system of equations for the situation using r for Brand X of cups and y for Brand Y of cups. Equation 1: Equation 2: Graph the system of equations on the grid provided: +30+ 28 26 24 22 20 18 10 14 12 10 2. 4 8 10 12 14 16 18 20 22 24 Clear All Draw:arrow_forwardLarge companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 - 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Holly falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 94 people in my market category who had been interviewed, 14 said they would buy the product, and of the 108 people in Holly's market category, 34 said they would buy it. Assuming that these data came…arrow_forward
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