acuum tube in a sonar scanning device. Based on past experience, the vacuum tube exhibits the following failure pattern: Number of Months of Operation Probability of Failure 1 0.1 2 0.1 3
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The Navy uses a certain type of vacuum tube in a sonar scanning device. Based on past experience, the vacuum tube exhibits the following failure pattern:
Number of Months of Operation Probability of Failure
1 0.1
2 0.1
3 0.2
4 0.1
5 0.3
6 0.2
Failures during operation cost $200 each, but the tube can be replaced before
failure for $50. Find the optimal replacement strategy.
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- 3.4 The system is tested on a sample of one hundred computers and the average connection speed is found to be far below 400 kilobits. What hypothesis should probably be rejected? Explain. If the customer needs a connection speed of 400 kilobits to run her application programs, what is the business decision that corresponds to the decision regarding the hypotheses?IN excel if possibleGreat Grasslands Grains, Inc. (GGG) manufactures and sells a wide variety of breakfast cereals. GGG’sproduct development lab recently created a new cereal that consists of rice flakes and banana-flavoredmarshmallows. The company’s marketing research department has tested the new cereal extensivelyand has found that consumers are enthusiastic about the cereal when 16-ounce boxes contain at least1.6 ounces and no more than 2.4 ounces of the banana-flavored marshmallows.As GGG prepares to begin producing and selling 16-ounce boxes of the new cereal, which it has namedGo Bananas management is concerned about the amount of banana-flavored marshmallows. It wants tobe careful not to include less than 1.6 ounces or more than 2.4 ounces of banana-flavoredmarshmallows in each 16-ounce box of Go Bananas. Tina Finkel, VP of Production for GGG, hassuggested that the company measure the weight of banana-flavored marshmallows in a random sampleof 25 boxes of Go Bananas on a weekly…1.) With the pandemic, cleaning and sanitation products have become increasingly more popular. Pfizer is trying to expand their sales and market share among producers of hand sanitizer and would like to purchase advertising space on a major TV network during prime time. CBS and NBC seem to be the most likely options but Pfizer would like to test and see if there is really a difference in the viewership (which would influence their decision). Over the past 20 weeks, CBS has averaged 5.7 million viewers on Monday nights at the 8 PM timeslot with a standard deviation of .65 million viewers. NBC on the other hand has averaged 6.2 million viewers with a standard deviation of 1.3 million viewers. a.) With an alpha of .05, construct a hypothesis test to see if there is a difference in viewership between the two networks. b.) Construct a 95% confidence interval for the difference. c.) Which network would you go with based on your tests?
- On the Great Stark island, the likelihood of a residential fire is evenly distributed at 12 per month. Residents are evenly distributed along the 64-mile perimeter of the island. The government is providing fire protection, and a fire department's fixed cost is $60,000 per month. If the travel cost to fight a fire is $2,500 per mile, what is the optimal number of fire departments?You wish to assess whether Los Angeles has an equitable distribution of police services among its precincts compared to nearby cities. You theorize that if police resources are distributed equitably, average response times for emergency calls should be fairly similar from one precinct to another within the city. On the other hand, if response times are much higher in some precincts than others, police resources are probably not distributed as equitably as possible. You decide to compare the City of LA to the other cities in the rest of LA County. You are hypothesizing about differences in the mean between the City of LA and other cities. State in plain English the null and research hypotheses for this study.Automobile manufacturer Gruman has identified a vehicle quality issue with the bumpers theyare using on their mid-size sedan. Customers with these vehicles are suffering substantialdamage and repair costs in low-speed impacts to the bumpers. The company has been solicitingproposals for a new collapsible bumper system to upgrade the performance of their sedans to beequal to the industry average of $400 or less in a collision impact of ≤15 miles per hour (mph).Gruman Engineers believe they have found a bumper system that will meet this requirement. Todemonstrate it, they crashed six sedans with this bumper into a barrier at 15 mph, submitted themfor repairs and recorded the cost of the repairs. The mean and standard deviation of the costs arefound to be $458 and $48, respectively. At the α = .05 significance level, does the test datacontradict the manufacturer’s claim that the repair cost does not exceed $400? a)What is known? What information AND data does the problem provide? Provide a…
- The government of Grenada wishes to rebuild the West coast road that leads to the north of the island to help alleviate traffic congestion and to provide users with a safer road network. The government of Grenada has approached two (2) contractors for an estimate. They are required to submit a proposal that details the cost combination of labour (L), machinery (M), and technology (T) in achieving their expected total cost, total profit, and total revenue. Contractor 1 Two labour, four machinery, and three technology will result in a total cost of thirty-three dollars. While one labour, two machinery, and one technology give a total profit of fifteen dollars. Lastly, ten labour, five machinery, and six technologies result in total revenue of eighty-three dollars. Contractor 2 No Proposal was submitted. a) From Contractor I's proposal, derive three (3) simultaneous equations. b) From the answer to part a) above, set these equations in matrix form c) Given that the government of Grenada…The government of Grenada wishes to rebuild the West coast road that leads to the north of the island to help alleviate traffic congestion and to provide users with a safer road network. The government of Grenada has approached two (2) contractors for an estimate. They are required to submit a proposal that details the cost combination of labour (L), machinery (M), and technology (T) in achieving their expected total cost, total profit, and total revenue. Contractor 1 Two labour, four machinery, and three technology will result in a total cost of thirty-three dollars. While one labour, two machinery, and one technology give a total profit of fifteen dollars. Lastly, ten labour, five machinery, and six technologies result in total revenue of eighty-three dollars. Contractor 2 No Proposal was submitted. From Contractor 1’s proposal, derive three (3) simultaneous equations. b) From the answer to part a) above, set these equations in matrix form c) Given that the government of Grenada…A marketing research group conducting a telephone survey must contact at least 150 wives and 120 husbands. It costs P100 to make a daytime call and (because of higher labor costs) P150 to make an evening call. On average, daytime calls reach wives 30% of the time, husbands 10% of the time, and neither of these 60% of the time, whereas evening calls reach wives 30% of the time, husbands 30% of the time, and neither of these 40% of the time. Staffing considerations mean that daytime calls must be less than or equal to half of the total calls made. How many should be interviewed at each period to minimize the cost of completing the survey? fomulate the LP Model; identify the decision variables used in the model; and determine the optimal solution using graphical method.
- Suppose that in solving a TSP you use the nearest-neighboralgorithm and find a nearest-neighbor tour with a total costof $13,500. Suppose that you later find out that the cost ofan optimal tour is $12,000. What was the relative error ofyour nearest-neighbor tour? Express your answer as a percentage,rounded to the nearest tenth of a percent.HypertensionA national study found that treating people appropriately forhigh blood pressure reduced their overall mortality by 20%.Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives donot know they have high blood pressure, 50% of those whodo know are inadequately treated by their physicians, and50% who are appropriately treated fail to follow this treatment by taking the right number of pills.4.32 If the preceding 50% rates were each reduced to40% by a massive education program, then what effectwould this change have on the overall mortality rate amongtrue hypertensives; that is, would the mortality rate decreaseand, if so, what percentage of deaths among hypertensivescould be prevented by the education program?3. Please solve the sub parts a,b,c max in 30 minutes and no reject thank u A. What is the average profit earned by each trader?B. Performance (SMEs) is said to be good if a minimum of 15% of all existing (SMEs) are able to generate a profit of more than IDR 300 million, - . Have these performance (SMEs) met the requirements well? TellC. What is the percentage of traders who earn the most IDR 300 million,-