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Ailín is the recently appointed purchasing manager of firm manufacturing folding bicycles. The main shop floor has a battery of fluorescent lights, arranged in five rows, each of 200 lamps. Ailín is trying to decide on the best approach to take to the replacement of the bulbs when they fail. Up to his appointment, the bulbs have always been replaced individually as they fail. His researches have unearthed what he believes to be a reliable source of bulbs. He is tempted, for simplicity, to have all the bulbs replaced at once. This could be done at night, once work had ceased for the day, without the loss of any production. However, he needs to decide how often the bulbs should be replaced and is wondering, anyway, if full replacement is the cheapest way of replacing the bulbs as they wear out. Replacing individually, on the other hand, involves a pause in some of the production, which is costly. If he were to replace all the bulbs at once it would cost £2 per bulb but if they are replaced individually the cost is £5 each. Ailín has asked you, as his assistant, to help him establish a suitable replacement policy. He knows that you studied a degree in management science and is hoping what you learnt there may be useful. He wants to know if it is cheapest to: (1) replace the bulbs individually as they fail; or (2) as a group every so often (How often?), while replacing individually any that fail in the interim.
Sarah is a 60 year old Anglo female in reasonably good health. She wants to take out a $50,000 term life insurance policy until she is 65.
The following data represents 15 quarters of manufacturing capacity utilization (in percentages) Evaluate three and four quarter moving average for this time series. Which moving average provides the better forecast for the fourth quarter of 2003?
Based on your answer to part a, is it unusual for a passenger to have mishandled luggage? Is Peter Greenberg's comment and advice warranted? Explain your answers.
Describe your selected research issue, problem, or opportunity. Formulate both a numerical and verbal hypothesis statement concerning your selected research issue, problem, or opportunity.
In a poll to estimate presidential popularity, each person in a random sample of 1000 voters was asked to agree with one of the following statements:
Identify the formal hypothesis testing process. Perform a hypothesis test of one proportion.
Determine the range of values containing 50% of the population of x. From a large sampling (N>5000), we find that x has a mean value of 5.2 units and a standard deviation of 1.0 units.
Consider a charity organizations that receives random donations. Assume the donations to arrive following a Poisson process with a rate of one donation per hour in average. What is the probability that it will not be able to make the payment?
Find the evaluation score confidence intervals for the following two departments: Department 1 and Department 4 combined. Find the confidence interval at the 95% level. Use s = 6.06 and the mean 17.625.
Find the probability that exactly 15 flights arrive on time.
Compare a three-month moving average forecast with an exponential smoothing fore-cast for a = 0.2. Which provides the better forecasts using MSE as the measure of model accuracy?
using the experimental method had a mean of 29 minutes with a variance of 16 minutes. Use α = .10 for all tests.For a right-tail test of means (assume equal variances) the critical value is?
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