06875 Topic: 9 math probelmsNumber of Pages: 1 (Double Spaced)Number of sources: 1Writing Style: APAType of document: Math ProblemAcademic Level:High SchoolCategory: MathematicsLanguage Style: English (U.S.)Order Instructions: ATTACHED
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Attached is a Logistic Function Proplem Set for math 140. There are 7 tasks please look at all the files and be sure you can complete.Thank you
must be able to deliver in 3 hours. answer the following questions.1. A nylon rope maker claims its repelling rope’s average breaking strength is at least 800 pounds. A researcher sets up a hypothesis test regarding the breaking strength of the rope where Ho: μ ≤ 800. where α = .05.a. Rewrite his null and alternative hypotheses as complete sentences. What does the hypothesis suggest about where the benefit of the doubt is being placed? Explain your answer.b. What does it mean to make a type I error, and, specifically, what would constitute a type one error in this case?c. In this case, is it appropriate to use α = .05? Explain why or why not.d. what would we conclude if the sample average was much larger than 800 pounds?e. what would we conclude if the sample average was slightly less than 800 pounds?f. what if the sample average is much less than 800?2, Pennsylvania Governor Tom Ridge has a longstanding reputation for being “tough on crime.” His opponent is currently running ads that dispute this. Before Ridge took office, the average criminal spent 12.5 years in prison before parole. Ridge’s opponent says that a random sample of forty-nine recent parolees spent an average of only eleven years in prison (the standard deviation in the sample was fourteen years). Assuming you work for an independent newspaper, evaluate the claim made by the Ridge opponent. What would you report to your readers? Test at the 05 percent level of significance.3. Using the last problem calculate the 95 percent confidence interval. Interpret this interval.
1. A “random survey” was conducted of 3274 people of the “microprocessor generation” (people born since 1971, the year the microprocessor were invented). It was reported that 48% of those individuals surveyed stated that if they had $2000 to spend, they would use it for computer equipment. Also, 66% of those surveyed considered themselves relatively savvy computer users.(Source: San Jose Mercury News)a. Do you consider the sample size large enough for a study of this type? Why or why not?b. Based on your “gut feeling,” do you believe the percents accurately reflect the U.S. population for those individuals born since 1971? If not, do you think the percents of the population are actually higher or lower than the sample statistics? Why?Additional information: The survey was reported by Intel Corporation of individuals who visited the Los Angeles Convention Center to see the Smithsonian Institute’s road show called “America’s Smithsonian.”c. With this additional information, do you feel that all demographic and ethnic groups were equally represented at the event? Why or why not?d. With the additional information, comment on how accurately you think the sample statistics reflect the population parameters.2. Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:# of movies Frequency Relative Frequency Cumulative Relative Frequency0 51 92 63 44 1Table 2.1a. Find the sample mean xb. Find the sample standard deviation, sc. Construct a histogram of the data.d. Complete the columns of the chart.e. Find the first quartile.f. Find the median.g. Find the third quartile.
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· All questions must include workings and a reasoned answer, not just the final number.Task content:Read the following context;Our company has been mainly producing parts for cars with combustion engines. We are facing a challenging time. Potential shifting trends towards electric automobiles had apparently caused a reduction in our demand, that has been decreasing during the last years. In order to adapt to the future circumstances, the following different scenarios are being considered:§ Changing the production line to adapt to the electric automobile market.§ Investing in different projects to adapt to the new situation.§ Selling the company before facing severe losses.Question 1We were considering adapting our production line, in order to produce some parts for electric automobiles, this way, and after analyzing the possible market opportunities, we could expect to obtain net revenues of $50,000 per month for at least the next 12 years.a) What is the maximum that we should invest on this project if we consider a cost of capital of 4%?b) If we ask for a loan of 5,000,000 at an annual interest rate of 1% compounded quarterly, to be paid in 10 years, how much would you have to pay every quarter to cover the loan?Question 2There was another option on the table; a potential client has offered the possibility to sign a contract, starting in 4 years, with a duration of 8 years (so it will produce 8 payments), to purchase a specific part that we can produce, but that will require a total reconversion of the whole factory. This contract is signed for annual revenues of $800,000. To do this, we must replace the machinery and the production plant must be reconverted.a) What is the maximum amount of money we could afford to invest if we want a profitability of at least 5%?b) If we ask for a loan to be paid back in 5 years in constant equal monthly payments of $40,000, how much will we pay in total for the loan?’Question 3After these previous calculations, the project still requires a big initial investment, and other options are being considered. Another project, that consists of just readjusting some parts to adapt them to assemble to electric cars, would produce net revenues of $200,000 per year, for 10 years. Assuming that these revenues will grow at a constant 1% per year, and are assessed at a cost of capital of 2,5%:a) Would it still be profitable if it required an initial investment of $1,500,000?b) If we take these annual revenues of $200,000 growing at a 1% per year, and we invest them in a bank account that offers an annual rate of 5% for 10 years, how much will we have at the end?Question 4Finally, there is a last consideration:a) Selling the company: Considering that our plant produces annual cashflows of $260,000 decreasing at a 0,8% annual, expected to last for many years, for how much should we value the company today if investors are willing to obtain a profitability of 4%?—- It assesses the following learning outcomes:· to assess the present value of future cash flows and the future value of regular savings, annually and periodically· to understand the perpetuity and annuity valuation and their factors – annual and periodical – and with various starting dates with and without growth· to assess the future revenue generation of a regular savings scheme and the amount needed to be saved over time to meet a future series of payments· to understand the process of investments appraisal and projects classification· to determine percentage calculations and discounting
Please answer all the questions on the pdf attached thank you
Be sure to show work or an explanation with your solution; generally speaking, do not just state your answer.Explanation for line of the equation!!!
Question 1 of 201.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.You are trying to estimate the average amount a family spends on food during a year. In the past, the standard deviation of the amount a family has spent on food during a year has been $1200. If you want to be 99% sure that you have estimated average family food expenditures within $60, how many families do you need to survey? Place your answer, a whole number, in the blankReset SelectionQuestion 9 of 201.0 PointsA sample of 23 European countries found that the variance of life expectancy was 7.3 years. What is the 95% confidence interval estimate for the variance of life expectancy in Europe?Reset SelectionQuestion 10 of 201.0 PointsIn constructing a confidence interval estimate for a population mean, when we replace with the sample standard deviation (s), we introduce a new source of variability and the sampling distribution we use is:Reset SelectionQuestion 11 of 201.0 PointsFind the 95% confidence interval for the standard deviation of the lengths of pipes if a sample of 26 pipes has a standard deviation of 10 inches.Reset SelectionQuestion 12 of 201.0 PointsIf you are constructing a confidence interval for a single mean, the confidence interval will___________ with an increase in the sample size.Reset SelectionQuestion 13 of 201.0 PointsThe average gas mileage of a certain model car is 26 miles per gallon. If the gas mileages are normally distributed with a standard deviation of 1.3, find the probability that a randomly selected car of this model has a gas mileage between 25.8 and 26.3 miles per gallon.Reset SelectionQuestion 14 of 201.0 PointsConfidence intervals are a function of which of the following three things?Reset SelectionQuestion 15 of 201.0 PointsThe t- distribution for developing a confidence interval for a mean has _____ degrees of freedom.Reset SelectionQuestion 16 of 201.0 PointsA researcher wishes to know, with 98% confidence, the percentage of women who wear shoes that are too small for their feet. A previous study conducted by the Academy of Orthopedic Surgeons found that 80% of women wear shoes that are too small for their feet. If the researcher wants her estimate to be within 3% of the true proportion, how large a sample is necessary?Reset SelectionQuestion 17 of 201.0 PointsFrom a sample of 500 items, 30 were found to be defective. The point estimate of the population proportion defective will be:Reset SelectionQuestion 18 of 201.0 PointsWhich of the following will make a confidence interval narrower and more precise?Reset Selection
