5. Estimate the production for the years 2008 and 2010 with the help of the following table : Year Production Year Production (in '000 tonnes) (in '000 tonnes) 2005 200 Yo 2009 350 Y4 2006 220 Y1 2010 ? Ys 2007 260 Y2 2011 430 2008 ? Уз
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- Over the past 40 years, the percentage of homes in the United States with smoke detectors has risen steadily and has plateaued at about 96% as of 2015.† With this increase in the use of home smoke detectors, what has happened to the death rate from home fires? Suppose the following contains 17 years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million of population. Percentage ofHomes withSmoke Detectors Home Fire Deathsper Millionof Population 0.52 22.8 0.69 20.7 0.76 17.2 0.78 20.4 0.79 19.3 0.84 18.8 0.83 17.5 0.87 16.1 0.88 13.5 0.90 14.3 0.92 14.2 0.94 12.9 0.95 10.8 0.96 10.8 0.97 10.1 0.96 8.3 0.96 8.0 (a) Do you expect a positive or negative relationship between smoke detector use and deaths from home fires? Why or why not? We would expect there would be a ---Select--- negative positive relationship between smoke detector use and deaths from home fires. As more households have…The manager of human resource department wants to see if there is anyrelationship between staffs’ salary (in 1000TK) and their experience (in years).---------------------------+| id salary experience ||--------------------------|| 1 15 15.5 || 2 18 17 || 3 16.5 17 || 4 16.3 18 || 5 22 19 ||--------------------------|| 6 19.9 18 || 7 24 20 || 8 18.5 18.5 || 9 28.3 22 || 10 17.5 19.5 ||--------------------------|| 11 24.5 19.5 || 12 16.2 17.5 |---------------------------------(a) Write down the regression model of salary on experience indicating dependentvariable, independent variables and the associated parameters.(b) Obtain the least squares estimates of the model parameters and interpret them.(c) Draw a scatter plot and the regression line in the same coordinate.(d) Obtain TSS, RSS and ESS.(e) Obtain R-square value and interpret the result.(f) Obtain the estimate of the error variance.(g) Obtain 95% confidence interval for slope and interpret it.(h) Test the hypothesis that there is…Suppose for a particular process that the bottleneck cycle time is 54 seconds, and raw processing time is 345 seconds. If there are 9 customers in this system already, and then you walk up and join the line at Station 1, what is your expected lead-time to move through the entire process? Whole number value, no decimals.
- Suppose that historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has statistically significantly decreased, what is the p-value? (please round your answer to 4 decimal places)Suppose Laura, a facilities manager at a health and wellness company, wants to estimate the difference in the average amount of time that men and women spend at the company's fitness centers each week. Laura randomly selects 15 adult male fitness center members from the membership database and then selects 15 adult female members from the database. Laura gathers data from the past month containing logged time at the fitness center for these members. She plans to use the data to estimate the difference in the time men and women spend per week at the fitness center. The sample statistics are summarized in the table. Population Populationdescription Population mean(unknown) Samplesize Sample mean(min) Sample standarddeviation (min) 11 male μ1 n=15 x¯1=137.7 s=51.7 22 female μ2 n=15 x¯2=114.6 s=34.2 df=24.283 The population standard deviations are unknown and unlikely to be equal, based on the sample data. Laura plans to use the two-sample ?-t-procedures to estimate the…A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 4% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year. a. What percentage of the employees will experience lost-time accidents in both years (to 2 decimals)? % b. What percentage of the employees will suffer at least one lost-time accident over the two-year period (to 2 decimals)?
- A production plant has three machines and the two products move about among these three machines. Upon completion of the process at machine i, it moves to the next available machine out of the two remaining machines. Therefore, there are always two busy machines. If the service times of these machines follow an exponential distribution with a rate of μ1=2/min, μ2=1 /min, μ3=4 /min, respectively, what proportion of time machine 1 will be idle?At the beginning of 2007, the population of a certain state was 55.4% rural and 44.6% urban. On the basis of past trends, it is expected that 10% of the population currently residing in the rural areas will move into the urban areas, while 17% of the population currently residing in the urban areas will move into the rural areas in the next decade. What was the population distribution in that state at the beginning of 2017?In August 2011, Bank of Hawaii (BOH) stock cost $45 per share, yielded 4% per year in dividends, and had a risk index of 3.0 per share, while JPMorgan Chase (JPM) stock cost $40 per share, yielded 2.5% per year in dividends, and had a risk index of 2.0 per share.† You have up to $25,000 to invest in these stocks, and would like to earn at least $760 in dividends over the course of a year. (Assume the dividends to be unchanged for the year.) How many shares (to the nearest tenth of a unit) of each stock should you purchase to meet your requirements and minimize the total risk index for your portfolio?
- Sailco Corporation must determine how many sailboats should be produced during eachof the next four quarters (one quarter is three months). Demand is as follows: first quarter,40 sailboats; second quarter, 60 sailboats; third quarter, 75 sailboats; fourth quarter, 25 sailboats. Sailco must meet demand on time. At the beginning of the first quarter, Sailco hasan inventory of 10 sailboats. At the beginning of each quarter, Sailco must decide howmany sailboats should be produced during the current quarter. For simplicity, we assumethat sailboats manufactured during a quarter can be used to meet demand for the currentquarter. During each quarter, Sailco can produce up to 40 sailboats at a cost of $400 persailboat. By having employees work overtime during a quarter, Sailco can produce additional sailboats at a cost of $450 per sailboat. At the end of each quarter (after productionhas occurred and the current quarter’s demand has been satisfied), a carrying or holdingcost of $20 per sailboat…A gerontologist investigating various aspects of aging process wanted to see whether staying “ lean and mean, “ that is, being under normal body inbred line to one of three diets: (1) unlimited access to food, (2) 90% of the amount of food that a rat of size would normally eat, or (3) 80% of amount of food that a rat of the size would normally eat. She maintained the rats on three diets throughout their lives and recorded their lifespans (in years). Five rates in each group. Is there evidence that diet affected life span in this study? Let α= 0.01 Complete the ANOVA table . Source of variation df SS MS Fc Treatment 2 1.575 Error 12 Total 14 5.60 A) Hypothesis Test H0: H1: B) Test Statistic C) Decision Rule d) Conclusion *(please with equations and explanation) and thamnk youTable 1. VITAL STATISTICS OF COUNTRY Y 2020 2018 2015 Total population 109,035,343 100,981,437 92,337,852 Total marriages (Based on civil registration) 240,183 431,972 449,169 Total population of women 15-44 years old 32,962,017 28,625,793 26,417,734 Total Births (Based on civil registration) Male 990,390 750,871 632,870 Female 952,126 972,802 487,798 Total Deaths (Based on civil registration) Timely 506,530 509,762 473,987 Late 106,820 110,382 116,803 Deaths during pregnancy 7,938 7,099 6,759 Fetal deaths Early 1,942 1,236 1,326 Intermediate 1,435 1,161 1,288 Late 1,157 1,311 1,046 Infant deaths Less than 7 days 839 623 795 Less than 28 days 1,961 1,911 1,863 Less than 1 year 3,534 3,658 3,080 Top 3 Leading Causes of Mortality 1. Diseases of the circulatory system 691,225 625,213…