1. A lightbulb manufacturer has developed a new lightbulb that it claims has an average life of more than 1,000 hours. State the null hypothesis (Ho) and alternative hypothesis (Ha) that will be used to verify this claim.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.Consider the following initial-value problem.
- Determine the largest interval in which the initial value problem has a unique solution.Can you explain the Chebyshev's Theory?1. A company is considering purchasing an expensive piece of machinery which it hopes will reduce the amount of time it takes to manufacture its product, but which might actually have the reverse effect and increase (slow down) production time. Currently (without the new machine), it takes an average of 55.5 seconds to manufacture the product. The company decides to test the new machine for a few days to see whether it speeds up or slows down production. a) State the null and the alternative hypotheses that the company wishes to test. b) With α ≤ .05, state the decision rule. c) The company randomly selects 50 of the products made by the new machine and finds that these took an average of 54 seconds to make, with a standard deviation of 6.5 seconds. Test the company's hypotheses and make a decision/conclusion about them. d) Use the sample data from part 'c' to form a 99% confidence interval to estimate the mean time of production of the population of products that could be…
- Is there a way to solve this w/o using L'Hospital's rule?If the life expectacy in county A is 65 years with CI of (55, 75) and in county B is 87 years with CI of (40, 98), are the two life expectancies likely to be statistically different?3.3 A new internet provider claims that using their system you can get transmission speeds of 400 kilobits per second. Specify, both statistically and in English, the null and alternative hypotheses a potential customer should investigate if she is worried that the connection is really slower than advertised. Explain your reasoning.
- Suppose method 1 resulted in 20 unacceptable transistors out of 100 produced, whereasmethod 2 resulted in 12 unacceptable transistors out of 100 produced. Can we conclude from this, atthe 10% level of significance, that the two methods are equivalent?1. A cement grinding mill “A” with a capacity of 50 tons/hr utilizes forged steel grinding balls costing P12,000/ton, which have a wear rate of 100 grams/ton cement milled. Another cement mill “B” of the same capacity uses high chrome steel grinding balls costing P50,000/ton with wear rate of 20 grams/ton cement milled. Determine the more economical grinding mill, considering other factors to be the same.