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數學與統計 大學

請問大一統計學這兩題有人看得懂嗎🥲

2. To study the attitude of mother and father towards their daughter participating in the outdoor games, a sample of 200 fathers and 250 mothers was investigated. In these two samples, 120 fathers and 50 mothers preferred their daughter to go for outdoor activities. Can it be concluded at a=0.01 level of significance that the proportion of father is significantly higher than that of mother in preferring their daughters for outdoor activities? 3. A firm has a generous but rather complicated policy concerning end-of-year bonuses for its lower-level managerial personnel. The policy's key factor is a subjective judgment of "contribution to corporate goals." A personnel officer took samples of 24 female and 36 male managers to see whether there was any difference in bonuses, expressed as a percentage of yearly salary. The data are listed here: Gender Bonus Percentage Female 9.2, 7.7, 11.9, 6.2, 9.0, 8.4, 6.9, 7.6, 7.4, 8.0, 9.9, 6.7, 8.4, 9.3, 9.1, 8.7, 9.2, 9.1, 8.4, 9.6, 7.7, 9.0, 9.0, 8.4 10.4, 8.9, 11.7, 12.0, 8.7, 9.4, 9.8, 9.0, 9.2, 9.7, 9.1, 8.8, 7.9, 9.9, 10.0, 10.1, 9.0, 11.4, 8.7, 9.6, 9.2, 9.7, 8.9, 9.2, 9.4, 9.7, 8.9, 9.3, 10.4, 11.9, 9.0, 12.0, 9.6, 9.2, 9.9, 9.0 (1) Is there significant evidence that the mean bonus percentage for males is larger than the mean bonus percentage for females? Use a a=0.05. (2) Estimate the difference in the mean bonus percentages for males and females using a 95% confidence interval. Male

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數學與統計 大學

大一公衛系微積分,求第二題解

公衛系 微積分期末考 (28/12/2018) 1. Use the Laplace transform to solve the differential equations. (1) j(t)+2y(t) = x(t), y(0)=1, x(t)=10, t20 (20) (2) Intravenous glucose is a treatment. Disposed at a fixed rate k grams per minute inputs into the blood, while blood glucose will be converted to other substances or moved to another place, at a rate proportional to the amount of glucose in the blood, the proportionality constant is a (a> 0), the initial amount of glucose in the blood is M. A. Find the variation in the amount of glucose in the blood (15) B. Determining the equilibrium, the amount of glucose in the blood. (5) = 2. SI Epidemic Model : The size of the population, n+1, remains fixed. Let i(t) be the number of infectives at time t, and let s(t) be the number of individuals who are susceptible. Given an initial number of infectives iO), we would like to know what will happen to i(t). SI Epidemic Model is described by the differential equation. di(t) = k·i(t).s(t) ......(5.1) dt i(t)+s(t)=n+1 i(0)=i, (1) Solve this differential equation of the SI Epidemic Model (5.1). (10 h) (2) What is the peak times t of the epidemic spread? (10) 3. Consider the Two-compartment physiological models and is shown in figure 1. C1 (t) represent the drug concentration in the first compartment and C2 (t) represents the drug concentration in the second compartment. Vi and V2 represent the compartment volume. Use the first order linear differential equation general solution to solve the C1 (t) (20 ) and use the Laplace transform to solve C2 (t). 【20 分). | 世」!()

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數學與統計 大學

急!求救 #6 8 9 如果需要酬勞可私下談 (ex.$70題)

pie participation in informal 6.The National Science Foundation (NSF) sponsored a study on girls' science, technology, engineering, or mathematics (STEM) programs. The results of the study were published in Cascading Influences: Long-Term Impacts of Informal STEM Experiences for Girls (March 2013). The researchers sampled 174 young women who recently participated in a STEM program. They used a pie chart to describe the geographic location (urban, suburban, or rural) of the STEM programs attended. Of the 174 participants, 107 were in urban areas, 57 in suburban areas, and 10 in rural areas. a.Determine the proportion of STEM participants from urban areas. b.Determine the proportion of STEM participants from suburban areas. c.Determine the proportion of STEM participants from rural areas. d. Multiply each proportion in parts a-c by 360 to determine the pie slice size (in degrees) for each location. e.Use the results, part d, to construct a pie chart for geographic location of STEM participants. f.Interpret the pie slice for urban areas. g.Convert the pie chart into a bar graph. Which, in your opinion, is more informative? 7. All high way bridges in the US are inspected periodically for structural deficiency by the FHWA. Data from the FHWA inspections are compiled into the National Bridge Inventory (NBI). Classify each variable below as quantitative or qualitative. a. Length of maximum span (feet). b. Number of vehicle lanes. c. Toll bridge (yes or no). d. Average daily traffic. e. Condition of deck (good, fair, or poor). f. Bypass or detour length (miles). g. Route type (interstate, U.S., state, county, or city) 8. The NBI data were analyzed and the results made available at the FHWA Web site. Using the FHWA inspection ratings, each of the 608,272 highway bridges in the US was categorized as structural deficient, functionally obsolete, or safe. About 13.5% of the bridges were found to be structural deficient, while 3.5% were functionally obsolete. a. What is the variable of interest to the researchers? b. Is the variable of part a quantitative or qualitative? c. Is the data set analyzed a population or a sample? Explain. d. How did the NBI obtain the data for the study?

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