B. A manufacturing company is analyzing its accident record. The accidents fall intotwo categories:➤Minor-dealt with by first aider: Average cost k50➤ Major-hospital required. Average cost k1,000The company has 1,000 employees, of which 180 are office staff and the restwork in the factory.The analysis shows that 10% of employees have an accident each year and 20%of accidents are major. It is assumed that an employee has more than oneaccident in a year.(i) Determine the expected total cost of accidents in a year.On further analysis it is discovered that a member of office staff | half theprobability of having an accident relative those in the factory.(ii) Show that the probability that a given a member of office staff has anaccident in a year is 0.0549.(iii) Determine the probability that a randomly chosen employee who has hadan accident is office staff.

Given information: Minor dealt with by first aider: Average cost k 50. Major hospital required:…

Answered: B. A manufacturing company is analyzing…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high-for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Auto L M H Homeowner's NLMH Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible? 0.04 0.07 0.05 0.02 0.07 0.09 0.20 0.11 0.02 0.03 0.15 0.15 (b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same category for both auto and homeowner's deductibles?…
2.
Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on assets (ROA), an indicator of how profitable a company is relative to its total assets. Data collected from a sample of 20 community banks include the ROA (%), the efficiency ratio (%), as a measure of bank productivity (the lower the efficiency ratio, the better), and total risk-based capital (%), as a measure of capital adequacy. Complete parts (a) through (g) below. Click the icon to view the data table. a. State the multiple regression equation. Let X₁¡ represent the efficiency ratio (%) and let X₂¡ represent the total risk-based capital (%). Ŷ₁=+X₁₁+Xzi (Round the constant to two decimal places as needed. Round the coefficients to four decimal places as needed.) Distribution Costs ROA (%) 1.04 0.77 0.14 1.44 0.90 1.16 1.07 1.58 1.45 1.15 1.17 3.40 0.86 0.66 0.81 1.14 0.83 0.86 1.14 1.04 TOlal Efficiency…
9. The chief executive of Rex Cars wants to investigate the relationship between the number of new car sales and the amount of money spent on advertising. She collects data from company records on the number of new car sales, y, and the cost of advertising each year, x (£000). The data are shown in the table below. Cost of advertising (£000), (x) Number of new car sale, Year (y) 2005 120 4240 2006 126 4380 2007 132 4420 2008 134 4440 2009 137 4430 2010 144 4520 2011 148 4590 2012 150 4660 2013 153 4700 2014 158 4790 a. Use your calculator to find the equation, y = a + bx, of the line of best fit (the least squares regression line of y on x). b. Interpret the value of a. c. Calculate the predicted number of car sales made in 2015 if the company spends £163 000 on advertising.
There is a strong correlation between the number of firefighters at a fire and the amount of damage done.Part a: Can you minimize damage by sending fewer firefighters?Part b: Explain.
To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger th average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1,000s) 22 Itemized Deductions ($1,000s) 9.6 27 9.6 32 10.1 48 11.1 65 11.5 85 120 19.7 23.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 • 10 5 Itemized Deductions ($1,000s) 0 20 40 60 80 100 120 Adjusted Gross Income ($1,000s) 140 30 25 20 15 10 5. Itemized Deductions ($1,000s) 30 25 20 15 10 • 15 • 10 5- 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100…
6. Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/4, 1/8, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 60% of the time, while rainy and foggy conditions each occur 20% of the time. Given that an accident without deaths occurred, what is the conditional probability that it was foggy at the time?
Suppose researchers at an abdominal transplant clinic are concerned about the rate of graft loss due to diabetes status prior to receiving a donor kidney. Research has shown that gender discordance, or receiving a gender from a donor of an opposite gender may increase the risk of both exposure and outcome after transplant. Assume the following tables represent the stratified analysis of the potential confounding variable. (9 points) Gender Discordance Graft Failure No Graft Failure Total Diabetes II 23 10 33 No Diabetes II 4 44 48 Total 27 54 81 Gender Concordance Graft Failure No Graft Failure Total Diabetes II 9 34 43 No Diabetes II 12 87 99 Total 21 121 142 A) Calculate the stratum specific estimates for the odds ratios in each strata. B) Observe the difference in the odds ratios. Based on observation alone, what are we likely to conclude regarding the relationship between outcome and exposure…
1. Identify whether the variable in the information below is qualitative or quantitative. A nurse collects blood from kids and measure their blood-sugar content. This measure of blood-sugar concentration is a variable. a. quantitative b. qualitative c. qualitative as well as quantitative d. neither qualitative nor quantitative 2. Identify the technique for gathering data in the study below. A pharmaceutical firm wants test the effectiveness of a new drug. It wants to know if the new drug is significantly stronger than the conventional drug. This is a/an study. a. observational b. experimental c. census d. sampling 3. You want to plot a frequency graph of daily rainfall, with rainfalls (inches) on the horizontal axis. You will use a a. bar chart b. histogram c. cumulative frequency d. best fit line 4. Frequency of categorical data are displayed using a a. bar chart b. histogram c. time series graph d. best fit line
Your state is going to vote on becoming a "right to work" state in the next, and you wonder if there is there a relationship between salary levels and unionization. You find data on salary from the U.S. Census, which is split into three groups: Low; Moderate/About Average, and; High. To see if salary, measured in this way, is associated with unionization you find a variable in the same dataset called "UNION", which has two categories: the respondent has a unionized job and the respondent does not have a unionized job. Because you want to know if you should favor or oppose becoming a "right to work" state, you test these two variables to see if there is an association between salary level and unionized labor. What type of hypothesis test is most appropriate?
5. A blood sugar reading above 300 mg/dL can be dangerous, according to the University of Michigan, which recommends immediately informing your doctor if you have two or more readings of 300 mg/dL in a row. In severe cases, very high blood sugar levels (well above 300 mg/dL) can result in coma. On the other side of the scale, a blood sugar reading below 70 mg/dL can be dangerous. If you experience more than two blood sugar readings below 70 mg/dL in a week, notify your doctor. Suppose that blood sugar levels are normally distributed with a mean of 100 mg/dl (milligrams per deciliter) and a standard deviation of 10mg/dL. David has a blood sugar level of 85 mg/dl. Calculate and David's z-score. What percentile is David in for his blood sugar level? What blood sugar readings would be more or less than 2.5 standard deviations from the mean? lio * f4 $ Download 101 4 % Search 5 Print ^ ◄0 6 . & 7 hp * + 8 f10 ► 11 о fu
Elaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis. Research Question Do the mean job satisfaction scores differ for men and women working in the hospital administration department? Hypothesis The mean job satisfaction scores do not differ for men and women working in the hospital administration department. Compute an independent sample t test on these data. Report…

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