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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.Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Kansas City, Missouri, at rush hour by standing on the corner of I-70 and I-470 and counting SUVs. You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90% level of confidence. Appendix A Statistical Tables (Round your answer up to the nearest integer.) Sample enter a number of cars rounded to the nearest integer1.The reported unemployment is 5.5% of the population. What measurement scale is used to measure unemployment? Interval Nominal Ordinal Ratio 2.Which one of the following is NOT an example of discrete data? Number of employees reporting in sick Number of households watching the Home Shopping Network Number of miles between New York City and Chicago Number of members of the Denver Lions Club
- A physicist examines 44 seawater samples for iron concentration. The mean iron concentration for the sample data is 0.1850.185 cc/cubic meter with a standard deviation of 0.04460.0446. Determine the 80%80% confidence interval for the population mean iron concentration. Assume the population is approximately normal.Records pertaining to the monthly number of job-related injuries at an underground coal mine were being studied by a government agency. The values for the past 100 months were as follows: Injuries Frequency of per Month Occurrence 32 40 2 15 3 4 1. 1. Apply the chi-square test to these data to test the hypothesis that the underlying distribution is Poisson. Important note: In the answer box below, just put the numerical test statistic value. Use x.xx format for the numerical value you provide as the answer. Do NOT compare the test statistic with the critical value from a table. Answer:As part of an insurance company's training program, participants learn how to conduct an analysis of clients' insurability. The goal is to have participants achieve a time in the range of 30 to 45 minutes. Test results for three participants were: Armand, a mean of 38 minutes and a standard deviation of 3 minutes: Jerry, a mean of 37 minutes and a standard deviation of 2.5 minutes: and Melissa, a mean of 37.5 minutes and a standard deviation of 1.8 minutes. Which of the participants would you judge to be capable? Explain. Can the value of the Cp exceed the value of Cp for a given participant? Explain
- iS Management Fall20 Random variation is also known as common cause variation. Select one: a. FALSE O b. TRUEA new fly spray is applied to 50 samples each of 5 flies and the number of living fliescounted after an hour. The results were as follows: Number living 0 1 2 3 4 5 frequency 7 20 12 9 1 1 i. Calculate the mean number of living flies per sample and hence an estimate for p, the probability of a fly surviving the sprayii. Using your estimate calculate the expected frequencies (each correct to one decimalplace) corresponding to a binomial distributioniii. Perform a chi – square goodness – of – fit test using a 5% significance level.(c)Can you show me how to calculate the Z-score for the following confidence intervals 90%91% 95% 96%97%98%99%
- The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.02 level that the drug stays in the system for less than 368 minutes. For a sample of 78 patients, the mean time the drug stayed in the system was 363 minutes. Assume the variance is known to be 529. State the null and alternative hypotheses for the above scenario.Write examples of different types of probability and non-probability sampling? Give practical examples of the application in real life situation.An industrial process that makes 3-foot sections of plasticpipe produces pipe with an average inside diameter of 1 inch and a standard deviation of .05 inch.a. If you randomly select one piece of pipe, what is the probability that its inside diameter willexceed 1.02 inches, assuming the population is normal?b. If you select a random sample of 25 pieces of pipe, what is the probability that the sample meanwill exceed 1.02 inches?μ = 1.00, σ = .05