Which control chart is appropriate to analyze the above data? Justify your answer
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South Africa Airways would like to monitor its airline’s performance. Each week for the past 20 weeks, they checked each week a random sample of 100 flight arrivals for “one-time” performance. The table that follows contains the number of flights that did not meet South Africa Airways definition of “one time”:
Week |
Late flights |
1 |
2 |
2 |
4 |
3 |
10 |
4 |
4 |
5 |
1 |
6 |
1 |
7 |
13 |
8 |
9 |
9 |
11 |
10 |
0 |
11 |
3 |
12 |
4 |
13 |
2 |
14 |
2 |
15 |
8 |
16 |
2 |
17 |
3 |
18 |
7 |
19 |
3 |
20 |
2 |
- Which control chart is appropriate to analyze the above data?
- Justify your answer
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- 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.Use Excels functions (not @RISK) to generate 1000 random numbers from a normal distribution with mean 100 and standard deviation 10. Then freeze these random numbers. a. Calculate the mean and standard deviation of these random numbers. Are they approximately what you would expect? b. What fraction of these random numbers are within k standard deviations of the mean? Answer for k = 1; for k = 2; for k = 3. Are the answers close to what they should be (about 68% for k = 1, about 95% for k = 2, and over 99% for k = 3)? c. Create a histogram of the random numbers using about 10 bins of your choice. Does this histogram have approximately the shape you would expect?The management of a technology company is trying to determine the variable that best explains the variation of employee salaries using a sample of 52 full-time employees; see the file P13_08.xlsx. Estimate simple linear regression equations to identify which of the following has the strongest linear relationship with annual salary: the employees gender, age, number of years of relevant work experience prior to employment at the company, number of years of employment at the company, or number of years of post secondary education. Provide support for your conclusion.
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- Sembotix 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?…please answer this question in 30 minutes. Suppose that you are the manager of JCPenney store. Your goal is to increase and control the rate at which store cashiers can successfully sign customers up for JCPenney credit cards. To this end, for each of the eight store cashiers, you observed 50 interactions where the cashier made an attempt to sign a customer up for credit card. The data showed that there was a total of 16 cases in which the cashiers could successfully sign the customer up for a credit card. Now, if you do not want the lower limit to be below .0052, what z-value would this imply? How confident can you be that the actual lower limit is greater than or equal to .0052?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 also