A college department chairman has the problem of providing teachers for all courses offered by his department at the highest possible level of educational quality. He has got three professors and one teaching assistant (TA). Four courses must be offered and after appropriate introspection and evaluation he has arrived at the following relative ratings (100 = best rating) regarding the ability of each instructor to teach each of the four courses, respectively. Courses II II IV Prof. 1 70+XX 50+XX 70+XX 80+XX Prof. 2 30+XX 70+XX 60+XX 80+XX Prof. 3 30+XX 40+XX 50+XX 70+XX TA 40+XX 20+XX 40+XX 50+XX How should he assign his staff to the courses to maximize educational quality in his department? XX = last two digits of your roll no. %3D
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- An educational software company wants to compare the effectiveness of its computer animation for teaching biology with that of a textbook presentation. The company gives a biology pretest to each of a group of high school juniors, and then divides them into two groups. One group uses the animation, and the other studies the test. The company retests all students and compares the increase in biology test scores in the two groups b. If the group using the computer animation has a much higher average increase in test scores than the group using the textbook, what conclusions, if any, could the company drawA farmer wishes to determine which of two brands of baby pig pellets, Kent or Moormans, produces better weight gains. Two of his sows each give birth to litters of 10 pigs on the same day, so he decides to give the baby pigs in litter A only Kent pellets, while the pigs in litter B will get only Moormans pellets. After 4 weeks , the average weigh tgain for pigs in litter A is greater than the average weight gain for pigs in litter B. The feed they get is not the only factor affecting the rate at which pigs gain weight. Genetic differences also affect weight gain. It is likely that the pigs in litter A are genetically different from the pigs in litter B since the two litters have different mothers. What experimental design technique could the farmer use to take into account the genetic differences? A)placebo B) probability sampling C)Blocking D)observational study E)double-blindingYou are the marketing director for a company that manufactures bodybuilding supplements, and you are planning to run ads in Sports Illustrated and GQ Magazine. On the basis of readership data, you estimate that each ad in Sports Illustrated will be read by 600,000 people in your target group, while each ad in GQ will be read by 150,000. You would like your ads to be read by at least 12 million people in the target group, and you plan to place at least 6 ads in Sports Illustrated and at least 8 ads in GQ during the next year. Sports Illustrated quotes you $2000 per ad, while GQ quotes you $1000 per ad. How many ads should be placed in each magazine to satisfy your requirements at a minimum cost? Sports Illustrated ads GQ Magazine ads
- At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 16 x + y = 50 + z + u and x − y + z − u = 52.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? ExplainA fund-raising company is putting together a student kit of candy bars for a school to use in its annual support campaign. To maximize sales, the company will put more of the most popular candy bar sold in an average day in each kit. The company’s research shows that of the five most popular candies, local vending machines sell 100 of Candy A, 14 of Candy B, 50 of Candy C, 6 of Candy D, and 45 of Candy E on an average day. Which candy on average is the most popular candy? Which averaging method did you use?
- You are the marketing director for a company that manufactures bodybuilding supplements, and you are planning to run ads in Sports Illustrated and GQ Magazine. On the basis of readership data, you estimate that each ad in Sports Illustrated will be read by 600,000 people in your target group, while each ad in GQ will be read by 150,000. You would like your ads to be read by at least 12million people in the target group, and you plan to place at least 6 ads in Sports Illustrated and at least 8 ads in GQ during the next year. Sports Illustrated quotes you $2000 per ad, while GQ quotes you $1000 per ad. How many ads should be placed in each magazine to satisfy your requirements at a minimum cost? Sports Illustrated ads GQ Magazine ads'The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of Store 1 exceeds that of Store 2? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of…The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 9 10 Store 1 478 478 770 795 952 774 499 953 695 964 Store 2 329 581 595 921 895 661 645 793 575 973 Difference(Store 1 - Store 2) 149 −103 175 −126 57 113 −146 160 120 −9 Send…
- The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 Store 1 519 631 999 602 543 643 767 742 Store 2 581 324 874 380 257 459 635 564 Difference(Store 1 - Store 2) −62 307 125 222 286 184 132 178 Based on these data, can the owner conclude, at…As you read about each study, (a) classify the type of research that it reflects, and (b) identify the kinds of conclusions that might reasonably be drawn from the results. An educational psychologist videotapes 20 high school history teachers in action for a period of 4 weeks. He then codes every teacher statement as belonging to one of three categories: whether it (a) presents new information, (b) asks a question, or (c) gives instructions. He summarizes this information and compares the amount of teacher questioning to the students' scores on a district-wide history achievement test given later in the year. The researcher finds that when teachers ask a lot of questions in class, students are more likely to score at high levels on the achievement test. (a) Classify the research as one of the following: Quantitative/descriptive Quantitative/correlational Quantitative/experimental Quantitative/quasi-experimental Qualitative Mixed methods, and…