Basic Math question and answers for August 26, 2023
- Q In 1997 a woman sued a computer keyboard manufacturer, chargingthat her repetitive stress injuries were caused by the keyboard(Genessey v. Digital Equipment Corporation). The juryawarded about $3.5 million for pain...
- Q 3. Use the data from question 1. Conduct a hypothesis test at α= .05 to determine if the population variance is less than909.00.Question 1- 1. Consider the following sampled data:...
- Q 1.A soccer ball manufacturer wants to estimate the meancircumference of soccer balls within 0.05 in. ​(a) Determine theminimum sample size required to construct a 95​% confidenceinterval for the population mean....
- Q list five different abuse of statistics and give exampleseach.
- Q 2. Using your answers from question 1, determine the followingconfidence intervals for the population standard deviation:(a) 90%(b) 95%(c) 99%QUESTION 1:Question 1: 1. Consider the following sampled data: s 2 =906.304,...
- Q The mean of a normal probability distribution is 380; thestandard deviation is 16. About 68% of the observations lie betweenwhat two values
- Q A box contains 2 identical pistols. Pistol A contains 7 livebullets and 3 blank bullets while pistol B contains 3 live bulletsand 7 blanks. Following a particularly annoying question in...
- Q The Food and Drug Administration (FDA) is asked to approve a newdrug. The new drug should contain less than 25mg of the activeingredient “toxinâ€, which is assumed to have dangerous...
- Q (Answers are given but could you please work through the problemand show me the steps?)Chapter 9Understand the difference between type I and type II errors.Establish null and alternative hypothesesThe average...
- Q (Answers are given but could you please work through the problemand show me the steps?)Chapter 8A local health center noted that in a sample of 400 patients, 80were referred to...
- Q A toxicologist was interested in the effects of an insecticideon the mortality of a certain type of beetle. Six groups of beetleswere exposed to various concentrations (C) of the insecticide....
- Q A pawn shop is open to purchasing goods that may not have beenacquired through honest means. Every time the shop makes aquestionable transaction there is a probability that the sale...
- Q [Counting and Probability] Consider the experiment of flipping acoin four times.a. Using a tree, determine the probability of one or two tails,with a biased coin with P(H) = 2/3. Compare...
- Q Define and discuss the difference between linear regression andmultiple regression. Are there any assumptions which must be metbefore using multiple regression?
- Q Suppose reaction time for drag racers is know to be on average50 ms with a standard deviation of 10 ms and that reaction time isnormally distributed.• What is the reaction...
- Q Suppose certain coins have weights that are normally distributedwith a mean of5.641 g5.641 gand a standard deviation of0.069 g0.069 g.A vending machine is configured to accept those coins withweights between5.5215.521g...
- Q Respond to all of the following questions in your posting forthis week:Describe the characteristics of the F distribution. Provideexamples.What are we testing when we test for two population variances?Explain your...
- Q A major client of your company is interested in the salarydistributions of jobs in the state of Minnesota that range from$30,000 to $200,000 per year. As a Business Analyst, your...
- Q Suppose the heights of 18-year-old men are approximatelynormally distributed, with mean 68 inches and standarddeviation 4 inches.(a) What is the probability that an 18-year-old man selected atrandom is between 67...
- Q betting theory on tennisA bookmaker has quoted odds on a tennis match betweenplayers I and II. The match consists of the best two out of threesets, i.e., if a player...
- Q Consider a new hotel deciding on cleaning staff hiring for theupcoming season. Cleaning times depend on whether it is a stay-overroom or a check-out. Suppose that a guest will check-out...
- Q Suppose you have a bag with 18 small colored stones. There are 6red stones, 7 green stones, and the rest of thestones  are blue.a. Would reaching into the bag, pulling out...
- Q Income East and West of the MississippiFor a random sample of households in the US, we record annualhousehold income, whether the location is east or west of theMississippi River, and...
- Q Researcher conducts a study to decide whether support groupsimprove academic performance for at-risk high school students. Tensuch students are randomly selected to take part in the supportgroup for a semester,...
- Q A random sample of 49 measurements from one population had asample mean of 16, with sample standard deviation 3. An independentrandom sample of 64 measurements from a second population had...
- Q An experiment on memory was performed, in which 16 subjects wererandomly assigned to one of two groups, called \"Sentences\" or\"Intentional\". Each subject was given a list of 50 words. Subjectsin...
- Q This is the first question and I know how to solve this one, butI am confused by the second one (The admissions office of a small,selective liberal-arts college will only...
- Q You have been asked to conduct astudy related to consumer loyalty toward three different retailformats (i.e., department stores, specialty stores, and off-priceretailers). After gathering background information, you decide tofocus your...
- Q Do bonds reduce the overall risk of an investment portfolio? Letx be a random variable representing annual percent returnfor Vanguard Total Stock Index (all stocks). Let y be arandom variable...
- Q Dr. Mack Lemore, an expert in consumer behavior, wants toestimate the average amount of money that people spend in thriftshops. He takes a small sample of 8 individuals and asks...
- Q Scenario: Imagine that a psychologist working with veterans withpost-traumatic stress disorder wants to compare the effectivenessof several therapies focused on reducing symptoms of anxiety. Thepsychologist randomly sampled 20 veterans who...
- Q disscuss roemer’s health system main components
- Q A laptop assembly is subjected to a final functional test.Suppose that defects occur at random in these assemblies, and thatdefects occur according to a Poisson distribution with parameter λ=0.03.What is...
- Q The ages of a random sample of people who attended a recentsoccer match are as follows:23 35 14 37 38 15 4512 40 27 13 18 19 2337 20 29...
- Q City Mileage, Highway Mileage. We expect a car's highway gasmileage to be related to its city gas mileage (in miles per gallon,mpg). Data for all 1137 vehicles in the government's...
- Q Graphically speaking, what happens to the slope of anobjective function if a coefficient in the objective function ischanged?
- Q An exam has 5 questions and each of them has 4possible answers. A student gets 3 pointsfor each correct answer and loses 1 point for each wrong answer.Consider a student...
- Q 1. You are given with the regression result that shows theregression model with k variables. Answer the following parts:a) How do you tell that a certain variable is influential?b) Suppose...
- Q Calculate the value of r using the computation formula (6.1) forthe following data. X Y 2 8 4 6 5 2 3 3 1 4 7 1 2 4quan stat
- Q The accompanying data represent the pulse rates​ (beats per​minute) of nine students. Treat the nine students as a population.Compute the​ z-scores for all the students. Compute the mean andstandard deviation...
- Q You are given the following LP modelin algebraic form, with x1 and x2 as thedecision variables:Minimize Cost = 40x1 +50x2Subject to               Constraint 1: 2x1 + 3x2 >= 30,               Constraint 2: x1 +...
- Q In Hawaii, January is a favorite month for surfing since 60% ofthe days have a surf of at least 6 feet.†You work day shifts in aHonolulu hospital emergency room....
- Q Work Exercises 1 and 2 using the formula for the probabilitydensity function and a hand calculator. Do not use EXCEL. Show allof your work.Assume 45% of all persons three years...
- Q The taxi and takeoff time for commercial jets is a randomvariable x with a mean of 8.5 minutes and a standarddeviation of 3.1 minutes. Assume that the distribution of taxi...
- Q Let x represent the dollar amount spent on supermarketimpulse buying in a 10-minute (unplanned) shopping interval. Basedon a certain article, the mean of the x distribution isabout $47 and the...
- Q A company has sales ofautomobiles in the past three years as given in the table below.Using trend and seasonal components, predict the sales for eachquarter of year 4.YearQuarterSales117124935847821682413604813162251353472
- Q A sample of 11 individuals shows the following monthlyincomes.IndividualIncome ($)Â Â 1Â Â 1,500Â Â 2Â Â 2,000Â Â 3Â Â 2,500Â Â 4Â Â 4,000Â Â 5Â Â 4,000Â Â 6Â Â 2,500Â Â 7Â Â 2,000Â Â 8Â Â 4,000Â Â 9Â Â 3,50010Â Â 3,0001143,000a.What would be a representative measure of central location forthe above data? Explain.b.Determine the mode.c.Determine the median.d.Determine the 60th percentile.e.Drop the...
- Q Problem 1 (3 + 3 + 3 = 9) Suppose you draw two cards from a deckof 52 cards without replacement. 1) What’s the probability thatboth of the cards are...
- Q a pair of dice are rolled and if the sum is a 5, Derek gets apoint; if the sum is a 6, Ker gets a point; if the sum is...
- Q The following data represent petal lengths (in cm) forindependent random samples of two species of Iris. Petal length (incm) of Iris virginica: x1; n1 =35 5.1 5.8 6.5 6.1 5.1...
- Q You are interested indetermining whether an experimental birth control pull has the sideeffects of changing blood pressure. You plan to randomly sample 18women from the city in which you live....
- Q A European growth mutual fund specializes in stocks from theBritish Isles, continental Europe, and Scandinavia. The fund hasover 375 stocks. Let x be a random variable that represents themonthly percentage...
- Q What is the model for this linear programing problem?
- Q ​If, based on a sample size of 850​, a political candidate findsthat 471 people would vote for him in a​ two-person race.a. A 90% confidence interval for his expected proportion...
- Q A facility has a waste storage tank with a capacity of 40 cubicfeet. Each week the tank produces either 0, 10, 20, or 30 cubicfeet of waste with respective probabilities...
- Q The manufacturers of Good-O use two different types of machinesto fill their 25 kg packs of dried dog food. On the basis of randomsamples of size 15 and 18 from...
- Q An ANOVA table for a one-way experiment gives the following:Source df SSBetween factors 2 810Within (error) 8 720Answer true or false and explain for the following sixstatements:The null hypothesis is...
- Q Suppose there is a basket containing one apple and twooranges. A student randomly pick one fruit from the basket untilthe first time the apple is picked. (Sampling withreplacement)(a) What is...
- Q In a certain population, 25% of the person smoke and 7% have acertain type of heart disease. Moreover, 10% of the persons whosmoke have the disease.What percentage of the population...
- Q (1) A researcher wants to test H0: x1 = x2versus the two-sided alternative Ha: x1 ≠x2.(a) This alternative hypothesis indicates a one-sided hypothesisinstead of a two-sided hypothesis.(b) The alternative...
- Q Solve this word problem using step by stepprocedure: The math department at a local university hascustomarily advised students to purchase Calculator A. Themanufacturer has recently released a new model, Calculator...
- Q Describe what qualitative forecasting models are. What are theadvantages and disadvantages of this modelling? “High correlation between two variables means that one is thecause and the other is the effectâ€....
- Q A graduate picks 25 exams at random from a total of 194 exams.Those 25 exams have a mean of 78.2% ± 17.1% (mean ± 1 standarddeviation). You may assume that...
- Q What is the best measure of center (mean, median, or mode) foreach topic? And why?CountryInfant mortalityHealth expenditureObesity rateAverage incomeLife expectancyDiabetes rateLeading cause of death
- Q Problem 16-13 (Algorithmic)The wedding date for a couple is quickly approaching, and thewedding planner must provide the caterer an estimate of how manypeople will attend the reception so that the...
- Q In a preschool class of n, exactly n1 children are needed foractivity 1, n2 for activity 2, and n3 for activity 3. Luckily n =n1 + n2 + n3. The...
- Q Problem 16-01The management of Brinkley Corporation is interested in usingsimulation to estimate the profit per unit for a new product. Theselling price for the product will be $45 per unit....
- Q The sample mean is 19.0, the sample standard deviation is 6.6,and n = 41. Establish a 90% confidence interval for the populationmean. (by default two tailed test, α is reliabilityfactor)
- Q Use the following information for Questions 8, 9, and10Soda bottles are filled so that they contain an averageof 330 ml of soda in each bottle. Suppose that the amount of...
- Q A company has sales of automobiles in the past three years asgiven in the table below. Using trend and seasonal components,predict the sales for each quarter of year 4.YearQuarterSales117124935847821682413604813162251353472
- Q you are an analyst working for the new Joint High Speed Vessel(JHSV) program office. Several tests have been conducted on twodifferent types of experimental test vessels (denoted simply “1â€and “2â€)...
- Q inthe early 1980’s, epidemiologiests recognized that AIDS occuredmost frequently among men who had sex with men and in intraveneiousdrug users. how this information might be used for each of thefollowing:1)...
- Q A friend who lives in Los Angeles makes frequent consultingtrips to Washington, D.C.; 40% of the time she travels on airline#1, 20% of the time on airline #2, and the...
- Q A Theater has n numbered seats, and n tickets are distributedamong n persons. Compute the probability that(a) exactly two persons will be seated at seats corresponding totheir ticket numbers if...
- Q The number of floods that occur in a certain region over a givenyear is a random variable having a Poisson distribution with mean2, independently from one year to the other....
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