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1 1888 chapter 01 an introduction to business

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Unformatted text preview: of demand. 48 monthly sales reports are randomly selected. These monthly sales reports showed 15 months with high demand, 28 months with medium demand, and 5 months with low demand. 12 of the 15 months with high demand had favorable weather conditions. 14 of the 28 months with medium demand had favorable weather conditions. Only 1 of the 5 months with low demand had favorable weather conditions. If the weather conditions are poor, determine which manufacturing strategy the company should implement. 1-1894 Chapter 01 - An Introduction to Business Statistics 74. The alternatives 1 and 2 in the following payoff table represent the two possible manufacturing strategies that the EKA manufacturing company can adopt. The level of demand affects the success of both strategies. The states of nature (SI) represent the levels of demand for the company products. S1, S2, and S3 characterize high, medium, and low demand respectively. The payoff values are in thousands of dollars. The management believes that the weather conditions significantly affect the level of demand. 48 monthly sales reports are randomly selected. These monthly sales reports showed 15 months with high demand, 28 months with medium demand, and 5 months with low demand. 12 of the 15 months with high demand had favorable weather conditions. 14 of the 28 months with medium demand had favorable weather conditions. Only 1 of the 5 months with low demand had favorable weather conditions. Based on this information, the prior probabilities have been revised. If the weather conditions are favorable, P(S1) = .4286, P(S2) = .5357, and P(S3) = .0357, and if the weather conditions are poor, P(S1) = .1364, P(S2) = .6818, and P(S3) = .1818. It is also determined that the probability of favorable weather is 0.56 and the probability of poor weather is 0.44. Carry out a preposterior analysis and using the revised probabilities, determine the expected monetary value when the weather conditions are favorable and determine the expected monetary value when the weather conditions are poor. 1-1895 Chapter 01 - An Introduction to Business Statistics 75. The alternatives 1 and 2 in the following payoff table represent the two possible manufacturing strategies that the EKA manufacturing company can adopt. The level of demand affects the success of both strategies. The states of nature (SI) represent the levels of demand for the company products. S1, S2, and S3 characterize high, medium, and low demand respectively. The payoff values are in thousands of dollars. The management believes that the weather conditions significantly affect the level of demand. 48 monthly sales reports are randomly selected. These monthly sales reports showed 15 months with high demand, 28 months with medium demand, and 5 months with low demand. 12 of the 15 months with high demand had favorable weather conditions. 14 of the 28 months with medium demand had favorable weather conditions. Only 1 of the 5 months with low demand had favorable weather conditions. Based on this information, the prior probabilities have been revised. If the weather conditions are favorable, P(S1) = .4286, P(S2) = .5357, and P(S3) = .0357, and if the weather conditions are poor, P(S1) = .1364, P(S2) = .6818, and P(S3) = .1818. It is also determined that the probability of favorable weather is 0.56 and the probability of poor weather is 0.44. Determine the expected value of sample information. What is the maximum amount that the company is willing to pay for the weather information and the additional analysis? 1-1896 Chapter 01 - An Introduction to Business Statistics 76. An automobile insurance company is in the process of reviewing its policies. Currently drivers under the age of 25 have to pay a premium. The company is considering increasing the value of the premium charged to drivers under 25. According to company records, 35% of the insured drivers are under the age of 25. The company records also show that 280 of the 700 insured drivers under the age of 25 had been involved in at least one automobile accident. On the other hand, only 130 of the 1300 insured drivers 25 years or older had been involved in at least one automobile accident. An accident has just been reported. What is the probability that the insured driver is under the age of 25? 77. An automobile insurance company is in the process of reviewing its policies. Currently drivers under the age of 25 have to pay a premium. The company is considering increasing the value of the premium charged to drivers under 25. According to company records, 35% of the insured drivers are under the age of 25. The company records also show that 280 of the 700 insured drivers under the age of 25 had been involved in at least one automobile accident. On the other hand, only 130 of the 1300 insured drivers 25 years or older had been involved in at least one automobile accident. What is the probability that an insured driver of any age will be involved in an accident? 1-1897 Chapter 01 - An Introduction to Business Statistics 78. A pharmaceutical company manufacturing pregnancy test kits wants...
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