A researcher is studying the effects of certain toys on children. The category of toys are Building toys (like legos) - Category A, Stationary toys (like dollihouse/Forts) - Category B, and video toys (games on video) - Category C. There are only 4 participants being observed from a day school. The participants are watched for one week and the data is produced as follows: Participant one's data: Category A: 2, Category B: 4, Category C: 6 Participant two's data: Category A: 1, Category B: 3, Category C: 6 Participant three's data: Category A: 4, Category B: 2, Category C: 7 Partcipant four's data: Category A: 1, Category B: 3, Category C: 5 Based on the data, what would be the grand mean?
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- The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He has also recorded data on potentially relevant variables. The data are listed in the file P13_17.xlsx. a. Estimate a simple regression equation involving annual sales (the dependent variable) and the size of the population residing within 10 miles of the restaurant (the explanatory variable). Interpret R-square for this regression. b. Add another explanatory variableannual advertising expendituresto the regression equation in part a. Estimate and interpret this expanded equation. How does the R-square value for this multiple regression equation compare to that of the simple regression equation estimated in part a? Explain any difference between the two R-square values. How can you use the adjusted R-squares for a comparison of the two equations? c. Add one more explanatory variable to the multiple regression equation estimated in part b. In particular, estimate and interpret the coefficients of a multiple regression equation that includes the previous years advertising expenditure. How does the inclusion of this third explanatory variable affect the R-square, compared to the corresponding values for the equation of part b? Explain any changes in this value. What does the adjusted R-square for the new equation tell you?At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.Born in 1954, the Sarihusada Generasi Mahardhika Company (Sarihusada) is known as a strong player in the dairy business. SGM offers mother and child products to support their fulfillment of nutrition and health. Naturally, in a survey on the e-commerce market, SGM is a strong player in the market for baby milk. Sarihusada, which has a factory in Yogyakarta, has also worked on the e-commerce market for its baby milk products. Its products are available in e-commerce in Indonesia, such as Orami, Tokopedia, Shopee, Bukalapak, JD.ID, Blibli, and Lazada SGM entered e-commerce since 2016. “The products we offer in the e-commerce market are of the same quality as those in conventional markets. However, in e-commerce we offer a different shopping experience, because consumers can enjoy the convenience of shopping anywhere and anytime while getting more educational information," said Widianto Juwono, Sales Director of Danone Specialized Nutrition Indonesia who manages the marketing of SGM…
- Some citizens complained to city council members that there should be equal protection under the law against the occurrence of crimes. The citizens argued that this equal protection should be interpreted as indicating that high-crime areas should have more police protection than low-crime areas. Therefore, police patrols and other methods for preventing crime (such as street lighting or cleaning up abandoned areas and buildings) should be used proportionately to crime occurrence. The city has been broken down into 20 geographic areas, each containing 5,000 residences. The police recognize that not all crimes and offenses are reported: people do not want to become involved, consider the offenses too small to report, are too embarrassed to make a police report, or do not take the time, among other reasons. Every month, because of this, the police are contacting by phone a random sample of 1,000 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) The 1,000…A logistics manager wants to assess how varied the weight of lorry loads is over a period of time. He takes a 5 samples of 20 lorry loads (n) and notes the average load (tonnes) and the range within each sample. Sample Weight average in tonnes (x) Range (R) 1 15.5 4.5 2 12.3 5.3 3 8.8 6.2 4 10.3 5.2 5 13.1 3.8 What are the population means for the mean and the range? What are the upper and lower control limits for the sample means chart? What are the upper and lower controls for the range chart?Rajan wanted a radio from Jacky's. It appears that Rajan is particularly interested in purchasing a Radio from the inexpensive retailer's sales manager for consumer electronics. He tells Jacky, the salesperson at the inexpensive store where he thinks he'll get the best deal, that his old radio died and he wants to listen to his favourite tunes. He wants a replacement radio as quickly as possible. In three and a half weeks, Rajan's favourite model will be 10% off.He suspects Rajan won't wait and will find another job. Jacky will earn less on the lowered price. He thinks that telling Rajan of the sale makes little sense.When Jacky tells Rajan that the radio set he wants is no longer available and won't be for another week, Rajan is enraged. Fearing losing the business, Jacky begs his sales manager, Michelle, to speed up delivery. Michelle says it's impossible and suggests Jacky tell Rajan the store can get the set in 24 hours and sell him the demo model. Michelle says the sample is new…
- The chart below is a summary of the main results of a test data set representing the population observed purchasing a virtual digital assistant. What does the accuracy rate indicate? Metrics Metric Value Accuracy (#correct) 178 Accuracy (%correct) 85.6 Specificity 0.88219 Sensitivity (Recall) 0.6 Precision 0.82400 F1 Score 0.88213 Success Class 1 Success Probability 0.4 Multiple Choice 85.6% of the population has purchased a virtual assistant. 60% of the observations are correctly classified. 85.6% of the observations are correctly classified. 14.4% of the observations are correctly classified. Explain all the incorrect answers alsoA scientist works in a lab with four summer interns and, as it is the end of the summer, he anticipates the head of the lab will ask him which of them he wants to retain. In terms of quality, the scientist and the head of the lab agree that intern A is better than intern B who is better than intern C who is better than intern D. The scientist would like to keep as many interns as possible and, given any number, the highest-quality ones. However, due to funding restrictions, the head of the lab wants to limit the number of interns that are retained. The head of the lab initially tells the scientist to select two interns to retain. After the scientist chooses two interns, the head of the lab decides whether to allow the scientist to retain a third intern. Thus, the sequence of moves is: 1) the scientist chooses two interns (both of whom are then retained); 2) the head of the lab decides either to allow the scientist to choose a third or not; and possibly 3) if the head of the lab chose…Two machines are currently in use in a process atthe Dennis Kira Mfg. Co. The standards for this process areLSL = .40011 and USL = .40311• Machine One is currently producingwith mean = .401 II and standard deviation .000411• Machine ..)Two is currently producing with mean .401511 and standard deviation.000511• Which machine has the higher capability index?
- RDB Company wishes to assign a real estate brokers to one of its 6 sales districts. Based on theprofile of prospective buyers and the past performance of its top 6 brokers, the company estimatesthat average property sales, in lots/month, would be as follows:A town's department of public works is concerned about adverse public reaction to a sewer project that is currently in progress. Because of this, the Commissioner of Public Works has authorized a weekly survey to be conducted of town residents. Each week, for a total of 10 weeks, a sample of 100 residents is questioned on their feelings towards the project. Number of responndets who opposed (each week, respectively): 7, 20, 18, 12, 20, 20, 6, 19, 24, 24.Analyze this data using an appropriate control chart (three sigma control limits). Is the community sentiment stable? a. Unstable, 3 observations out of control b. Unstable, 1 observation out of control c. Unstable, 2 observations out of control d. StableSembotix Company has several divisions including a Semiconductor Division that sells semiconductors to both internal and external customers. The company’s X-ray Division uses semiconductors as a component in its final product and is evaluating whether to purchase them from the Semiconductor Division or from an external supplier. The market price for semiconductors is $100 per 100 semiconductors. Dave Bryant is the controller of the X-ray Division, and Howard Hillman is the controller of the Semiconductor Division. The following conversation took place between Dave and Howard: Dave: I hear you are having problems selling semiconductors out of your division. Maybe I can help. Howard: You’ve got that right. We’re producing and selling at about 90% of our capacity to outsiders. Last year, we were selling 100% of capacity. Would it be possible for your division to pick up some of our excess capacity? After all, we are part of the same company. Dave: What kind of price could you give me?…