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Mathematics Questions and Answers March 30, 2023

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IOE 419 Mark S. Daskin Service Operations Management IOE Department Winter, 2017 University of Michigan Problem set 6 DUE: WEDNESDAY - March 29, 2017 Points: 100 points total Problem 1: The capacitated fixed charge location model tries to find the balance between the fixed facility costs and the transportation costs. In its basic form, there is a

STAT 200: Introduction to Statistics Final Examination, Spring 2017 OL4/US2 Page 1 of 8 STAT 200 OL4 / US2 Sections Final Exam Spring 2017 This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor

Fifteen customer's purchase amounts at a fast food restaurant were as follows: 7.426.295.836.58.349.517.106.805.904.896.505.527.908.309.60 Construct a 95% confidence interval estimate for the population mean amount spent for lunch, assuming a normal distribution. Select one: a.5.318.87 b.6.317.87 c.4.379.07 d.7.138.78

One characteristic measured about high schools is the percent free lunch, which is the percentage of the student body that is eligible for free and reduced-price lunches. The top 100 schools, grouped according to their percent free lunch, is as follows. If stratified random sampling with proportional allocation is used to select a sample of 25

Based on a random sample of 1180 adults, the mean amount of sleep per night is 8.34 hours. Assuming the population standard deviation for amount of sleep per night is 3.4 hours, construct and interpret a 90 % confidence interval for the mean amount of sleep per night. A 90 % confidence interval is (__ ,___ ).

An entomologist sprayed 120 adult Melon flies with a specific low concentration of malathion and observed their survival times. The mean and standard deviation were found to be 18.3 and 4.8 days, respectively. Use these data to construct a 99% confidence interval for the true mean survival time. Round endpoints to one decimal place. Confidence

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The amount of fill dispensed by a bottling machine is normally distributed with standard deviation =2. Suppose that the sample mean is to be computed using a sample of size n. (a)Find the probability that the sample mean will be within 0.5 ounce of the true mean for n=16, 25, 36, 49. (b)Plot the probabilities you computed in part (a) as a function

Question 29 In one class, a statistics professor wants to compare grades on the first and second exams. This is an example of matched samples. True False Question 30 A manager analyzes the relationship between annual salary ( y , in $1000s) and college ( x , measured as years completed in college) for 12 employees of his firm. He estimates Salary
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Let A and B be two independent events. If P(A) = .25, what can you say about P(A | B)? Cannot find it since P(A and B) is not known. Cannot find it since P(B) is not known. Cannot find it since both P(A and B) and P( B) are not known. It is equal to .5. It is equal to .25.

The Centers for Disease Control and Prevention reported a survey of randomly selected Americans age 65 and older, which found that 535 of 1068 women and 421 of 1012 men suffered from some form of arthritis. Is this evidence that women are more likely to suffer from arthritis then men? Test an hypothesis using (a=0.10). All conditions are met. a.)

In how many ways can a committee of four men and three women be formed from a group of nine men and eleven women?

Math 115 - Team Homework Assignment #4, Winter 2017 Due Date: Feb. 23 or 24 (Your instructor will tell you the exact date and time.) This assignment covers material from Chapter 2 and 3 of the course textbook, which is the 6th edition of Calculus: Single Variable by Hughes-Hallett, Gleason, McCallum, et al.. Make sure to understand the material in

Please help me answer 3 questions below. If you need more information, please ask me. Attempts: 0:0 I ' Do No Harm: 1' z 3. Using probablllty tables - Flntllng critical values as Aa = Select the proper table from the dropdown menu to help you answer the questions. Critical values 7 Suppose that random variable 2 follows a standard normal
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The claim is that the proportion of peas with yellow pods is equal to 0.25(or 25%). The sample statistics from one experiment include 440440 peas with 127 of them having yellow pods. Find the value of the test statistic.

Consider the following hypothesis statement using = 0.01 and data from two independent samples. Assume the population variances are not equal and the populations are normally distributed. Upper H0:120 x overbar 1=157.0 x overbar 2=145.9 Upper 0H1:12 <0 s1=18.6 s2=26.6 n1=27 n2=19 What is the test statistic What are the critical values What is the

This is a mix of statistic related questions. Any help is appreciated!! Number 14 is not present as I have been able to answer it. Question 11 eriicienoy experis study the processes ised to manufaiture items in ordertn make them as efcient as possible. One ofthe steps used to manufacture a metal clamp involves the drilling ofthree holes. In a
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Find dy / dx by implicit differentiation. x sin( y ) + y sin( x ) = 9

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 145 subjects with positive test results, there are 30 false positive results; among 158 negative results, there are 55 false negative results. If one of the test subjects is randomly selected, find the probability of a false positive

An extended warranty is a prolonged warranty offered to consumers by the warranty administrator, the retailer, or the manufacturer. A recent report in The New York Times (November 23, 2009) suggests that 20.4% of laptops fail over three years. Roberto D'Angelo is interested in an extended warranty for his laptop. A good extended warranty is being

Perform decision analysis against uncertainty using the data in the table. Favorabl Unfavorabl e e economy Maximax econom y Fast food 350,00 -250,000 Clothes 75,000 -30,000 For estimation you will use Excel tools. Maximin Hurwicz Laplace Minimax

A. Given that x has a Poisson distribution with m= 11 , what is the probability that x= 5 P(5)=______ B. A probability experiment consists of rolling a fair 18 -sided die. Find the probability of the event below: -rolling a number divisible by 6 -Probability=__________

Need help with some questions. 1) People were polled on how many books they read the previous year. How many subjects are needed to estimate the number of books read the previous year within one book with 95% confidence? Initial survey results indicate that =10.2 books. A 95% confidence level requires______? subjects. (Round up to the nearest

What is the derivative of this? y = 15z^2 + 1/9z What is the derivative of this?

find the mean, variance and standard deviation of the binomial distribution with the given values of n=60, p=0.7

Use this information to answer the next six questions.In the 2004 election in Utah, 66% of all Utah voters voted for Amendment 3, the marriage amendment. Suppose a Statistics major decided to predict the sampling distribution of p-hat for samples of size 100 for this situation. What is the probability of getting a sample proportion, p-hat , from

fish Find the sample variances for each: MB 2016 142 3216 644

The college newspaper of a large southwestern university periodically conducts a survey of students on the campus to determine the attitude concerning issues of interest. Pictures were taken of the students interviewed along with a quote of their responses are printed in the newspaper. Students are interviewed by a reporter "roaming" the campus

In a survey of1,000 televisionviewers, 40% said they watch network news programs. For a99% confidencelevel, the margin of error for this estimate is3.99%. If we only want to be90% confident, how will the margin of errorchange? A. Since less confidence allows a widerinterval, the margin of error will be smaller. B. Since less confidence allows a

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The operations manager for a local bus company wants to decide whether he should purchase a small or large new bus for his company. He estimates that the annual profits will vary depending upon whether passenger demand is low or high. The manager believes that there is about a 6 in 10 chance that demand will be high. Which of the following

Use astem-and-leaf plot to display the data. The data represent the heights of eruptions by a geyser. What can you conclude about thedata? 128 140 110 117 134 90 120 128 129 130 110 100 131 120 100 150 130 115 120 149 Choose the correctstem-and-leaf plot.(Key: 15| 5equals =155) What can you conclude about thedata? A. It appears that most eruptions

The attendance at a baseball game at a certain stadium is normally distributed with a mean of 25,000 and a standard deviation of 1200. For any given game: a) What is the probability that attendance is greater than 27,500? b) what is the probability that attendance will be 25,000 or more? c) what is the probability of attendance between 23,000 and

Debt payments of $500, $1000, $1500 are due on March 1, May 1 and December 1 of the same year. If interest is 8% calculate the single payment on August 1 of the same year that would replace the three payments.

Objective: So far--so good. The process has been in control for the past four months. Phyllis isn't as well versed in Six Sigma as the team is, and it is her nature to question everything. She asks for a capability study to be performed on these parameters and asks for a calculation two key factors that affect thickness and wants to see this for

Selling price and amount spent advertising were entered into a multiple regression to determine what affects flat panel LCD TV sales. According to the output below, the calculated t -statistic to determine if amount spent on advertising is a significant independent variable in explaining Sony Bravia sales is Dependent Variable is Sales Predictor

What is the purpose of a control group in a case-control study? WHat are the advantages and disadvantages of selecting this hospital-based control group? How is a case-control study different from a retrospective cohort study?

A study followed 900,000 US adults from 1992 to 2008. At baseline, all participants were screened and determined to be cancer free and their body mass index (BMI) was calculated. Body mass index is a measure of obesity that is calculated using a persons height and weight. Subjects were separated into the following groups according to their BMI:

More than 100 million people around the world are not getting enough sleep; the average adult needs between 7.5 and 8 hours of sleep per night. College students are particularly at risk of not getting enough shut-eye. A recent survey of several thousand college students indicated that the total hours of sleep time per night, denoted by the random

A Statistics professor takes two hockey sticks - Brand A and Brand B - to each game he plays. Since Brand A is a newer stick than Brand B, so he believes the chance he will break his Brand A stick in a game is 8%; he also believes the probability he will break Brand B in a game is 0.12. Due to his various superstitions, he is 2-times more likely

1.Remember that you read about several contrasting pairs of terms loosely called "structures or orientations or dimensions of culture" (i.e., individualism/collectivisim, monochronic/polychronic, low/high uncertainty avoidance, and several others). Choose three of these pairs and for each pair discuss how training would be affected if you came

Find a quantitative journal article - attach the results page to this when submitting -(Psychologytopic please journal article should be 2006 to present .) what were the main results?Be sure to note what the main hypothesis was, and the general results (significant, not significant?)

N6208 Assignment 8 Chapter 10: Multiple regression A. In the following correlation matrix, if DVAR were regressed on VARA, VARB, and VARC, what is the lowest possible value of R2? VARA VARB VARC DVAR VARA 1.00 .62 .77 .54 VARB VARC DVAR 1.00 .68 .36 1.00 .48 1.00 B. In the following correlation matrix, if DVAR is regressed on VARA, VARB, and VARC

Question text How many lbs of cookies per day should be produced to get highest per day profit
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If we reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the null hypothesis is true. a. true b. false

Consider your Statistics 213 lecture section. There are 120 students registered. Of these 120 students, 55 are Haskayne School of Business students (the remaining students belong to some other faculty). Moreover, 72 students are classified as 1st-Year students and 20 are 1st-Year students and who are not Haskayne students. You are to randomly

This question gives an example of the practice of p-hacking, where researchers test many competing research hypotheses simultaneously in an effort to find one that has a significant level of support. This can frequently lead to acceptance of an alternative hypothesis when it is untrue and is generally bad experimental design. At best, it provides

A student guesses randomly on four true/false questions on an exam. What is the probability that all answers are correct? A) 0 B) .0625 C) .3333 D) .5

1.22 Chia seeds and weight loss. Chia Pets { those terra-cotta figurines that sprout fuzzy green hair { made the chia plant a household name. But chia has gained an entirely new reputation as a diet supplement. In one 2009 study, a team of researchers recruited 38 men and divided them evenly into two groups: treatment or control. They also

29% of Americans ages 16 to 21 years old say that they would break up with their boyfriend/girlfriend for $10,000. You select at random twenty 16-21 year olds. What is the probability that the first person who says he or she would break up for $10,000 is the fifth person asked? also identify the type of distribution

Transaction number 23 47 76 6 11 80 33 37 29 50 58 67 85 4 25 95 55 57 35 34 13 96 53 70 78 100 20 46 30 89 72 2 87 17 69 19 54 43 83 12 28 45 26 65 91 8 14 Quantity 149 149 147 146 145 144 142 140 139 139 138 138 136 135 135 135 134 132 130 129 128 126 125 122 120 120 118 118 114 113 112 110 106 104 101 100 100 98 98 97 97 97 95 93 93 92 91 $ $ $

Consider the following discrete probability distribution. x 15223440 P ( X = x ) 0.160.370.260.21 a. Is this a valid probability distribution? Yes/No c. What is the probability that the random variable X is less than 39? (Round your answer to 2 decimal places.) d. What is the probability that the random variable X is between 9 and 24? (Round your

Case 3 Newcastle Division Topic: CVP, Probabilities and Target profits A meeting of senior managers at the Newcastle Division has been called to discuss the pricing strategy for a new product. Part of the discussion will focus on the problem of forecasting sales volume. In the last year a significant number of new products have failed to achieve

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FACULTY OF SCIENCE AND INFORMATION TECHNOLOGY School of Mathematical and Physical Sciences STATISTICS, School Office V123 Telephone: (02) 4921-5515 STAT3100/6100 - TOTAL QUALITY MANAGEMENT ASSIGNMENT 1 - Semester 1, 2017 Due: Before start of lecture (Monday 1:05pm) of Week 7. Assessment: 20% of final grade Please consider the questions immediately

A random sample of 2253 men and 2629 women in the age group of 19 to 25 found that 986 of the men and 923 of the women lived at home. Is there a significant evidence (at the level of 5% ) that the proportions living at home differ in the populations of all young men and all young women? Answer to this question using both the confidence interval

Before conducting a power analysis, a researcher reviews the literature and discovered a similar study comparing difference between groups. The authors reported a d value of 27%. How would you characterize the magnitude of that effect?

Calculus Writing Assignment: Asymptotes and End-Behavior Each problem is worth 5 points. Total Points: 50 Answer each of the problems. Make sure to show all your work. 1) If lim (fx ) , what asymptotic behavior will be illustrated in the graph of f (x)? x 6 2) If lim (gx ) 3 , what asymptotic behavior will be illustrated in the graph of g(x)? x 3)

Sleep apnoea is a sleep disorder that causes a person to stop breathing momentarily and then awaken briefly. A study of535 Victorian commercial truck drivers found that 80 of them suffered from sleep apnoea. Use the survey results to estimate, with 90% confidence, the proportion of Victorian commercial truck drivers who suffer from this sleeping

MAT9004 Assignment 3 Due at the beginning of your support class in week 12. 1. The temperature distribution in a metal plate ({(x, y) R2 : |x| 10, |y| 5}) is given by T (x, y) = x2 10x + 4y 2 + 9 (a) Sketch on the same plot the sets of points with temperature 0, 1, 1. [2] (b) From the point on the plate located at (1, 1), in what direction is the

SupportOppose Unsure Total Males 166 333 12 511 Females 230 297 27 554 Total 396 630 39 1065 a) Find the probability that the person opposed the change or is female. (b) Find the probability that the person supports the change or is male. (c) Find the probability that the person is not unsure or is female. (d) Are the events "being male" and

Joe has an 15% probability of passing his statistics quiz 4 each time he takes it. How many times should Joe expect to take his quiz before passing it? a) 13 b) 5 c) 60 d) 9 e) 7 f) None of the above

A random sample of 200 freshman and 100 seniors at Ferris High School are asked whether they agree with a plan to excuse upper class students (juniors and seniors) a half hour early while keeping underclass students (freshmen and sophomores) in school for the last half hour. Of the students sampled, 160 freshmen opposed the plan and 20 seniors

Submit your answers to the following questions using the ANOVA source table below. The table depicts a two-way ANOVA in which gender has two groups (male and female), marital status has three groups (married, single never married, divorced), and the means refer to happiness scores (n = 100): What are the independent variables and their levels?

Let be a random variable with the following probability distribution: Value of -30 X(of x) 0.05 P(X=x) -20 0.05 -10 0.15 0 0.75 Find the expectation and variance of E (x) and Variance Var(x) of x.

While in the field and actively observing, a participant observer should do which of the following: Write down everything seen or heard Write down jottings Write complete field notes Write down researcher's own impressions Write nothing down

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Describe the process for finding probabilities using z-scores and the standard normal distribution.

the volume of the fuel in a tank changes at a rate given by the equation v(t)= 4t/ (3 square t 2 +3) , t>0 at t=square 7 hours the tank holds 93 gallons. what is the volume of fuel in the tank after 6 hours? Round the answer to one decimal place

The Amorco Oil Company controls two oil fields. Field 1 can produce up to 20 million barrels of oil per day, and field 2 can produce up to 15 million barrels of oil per day. At field 1, it costs $37.50 to extract and refine a barrel of oil; at field 2 the cost is $41.20. Amorco sells oil to two countries: United Kingdom and Japan. The shipping

Discuss the distinction between random selection and random assignment.Determine how random selection and random assignment would contribute to the reduction of uncertainty. Provide examples to illustrate your findings. Explain how random selection and assignment might help to reduce experimental error and mitigate threats to validity. Select at

1.Consider Big Jake's problem: Big Jake operates a 1200-acre ranch in Arizona.His principle activities are raising beef, wheat and alfalfa.The Arizona Water Authority has just given its water allotments for next year (Big Jake was allotted 2000 acre-feet) and Big Jake is busy preparing his production plan for next year.He figures that beef prices

Cules elpromediodelsiguienteconjuntodenmeros: 3, 9, 11, 23, 34? A.5 B. 80 C. 16 D. 0

There are 2,000 eligible voters in a precinct. 516 of the voters are randomly selected and asked whether they planned to vote for the Democratic incumbent or the Republican challenger. Of the 516 surveyed, 424 said they would vote for the Democratic incumbent. Using the 0.99 confidence coefficient, what are the confidence limits for the proportion

Let = c i s ( 2 / n ) be a primitive nth root of unity. Prove that the matrices A = ( 0 0 1 ) and B = ( 0 1 1 0 ) generate a multiplicative group isomorphic to Dn.

The net revenue for a certain car company(in billions ofdollars) between the years 2006 and 2012 is approximated by R(x)= - 0.739 x 3 + 21.2 x 2 - 162.1x + 494.7, where x=6 corresponds to the year 2006. a. What is the revenue in 2008. ______ billions (write an integar or a decimal) (show work)

Please solve: ln x-ln x^2+ln 3=0. Please show all steps

Explain three assumptions for the evaluation of a correlation coefficient. Explainthreelimitationsforevaluationacorrelationcoefficient. Explain when you would use a Spearman, a point-biserial, and a phi correlation coefficient

Suppose that the average time a fully charged6-volt laptop battery will operate a computer is 2 hours and follows the exponential probability distribution. Determine the following probabilities. a) Determine the probability that the next charge will last less than 1.6 hours. b) Determine the probability that the next charge will last between 2 and

In a two-factor analysis of variance, a main effect is defined as the following value. A.the mean differences among all treatment conditions B.the mean difference between the two factors C.the mean differences among the levels of one factor D.the difference between the largest treatment mean and the smallest treatment mean

The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. The interquartile range IQR is the distance between the first and third quartiles of a distribution. (a) What is the value of the IQR for the standard Normal distribution? (Round your answer to four decimal places.) (b) There is a constant c such that IQR =

Assume that the data are interval. What type of statistic is needed to analyze the data?

7.3 Trigonometric Substitution Find the area of the region bounded by the hyperbole 25X2 41/2 = 100 and the line x = 3
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This problem requires careful attention to the sequence of events. If you flip a coin 3 times, the probability of getting the sequence HTH is identical to the probability of getting HTT (1/8). Lets make this situation a little more interesting. Suppose you are going to flip a coin until you get the sequence HTH. Say this takes you x flips. Then,

An internet service provider uses 50 modems to serve the needs of 1000 customers. It is estimated that at a given time, each customer needs a connection with probability 0.01, independently of other customers. (a) What is the PMF of the number of modems in use at the given time? (b) Repeat part(a) by approximating the PMF of the number of

Please answer the questions 1, 2, 3 on the following file s ezto.mheducation.com C o 11" ET] 1'\" Chapter 16 Assignment instructions I help 1 value: ' 25.00 points The CPI (Consumer Price Index) for Canada for the six years from 2005 to 2013 is listed below. (Round the nal answers to 4 decimal places.) 2005 I 2006 2007 2008 2009 2010 2011 2012
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Use the weights of cans of generic soda as sample one, and use the weights of cans of the diet version of that soda as sample two. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Construct a 90% confidence interval

I have tried using mgf/cdf/convolution methods to proof part ii and iii. However, I always get stuck at the end. I hope someone can guide me on how to show the proofs. Any help would be greatly appreciated. Question 2 Let X and Y be independent positive random variables. We are interested to nd a decreasing function T : (0, 00) > (0, 00) such that
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Correlation coefficients are used when you are looking for a relationship or an association between variables in how many samples?

Math 1115 Assignment 2-Due date June 29th 1- An experiment is designed to study the effect of calcium and vitamin D supplements on the bones of first-year college students. The outcome measure is the total body bone mineral content (TBBMC), a measure of bone health. Three doses of calcium will be used: 0, 200 and 400 milligrams per day. The doses

Which statement is NOT true about the exponential smoothing forecasting model? Select one: a. The exponential smoothing model is best suited for forecasting time series without a strong seasonal variation.b. Unlike the moving average model, data values are not all weighted equally using the exponential smoothing model.c. The exponential smoothing

Use excel to complete the calculation, then insert answers in a word document. This can also be done by hand. 5.99 Leaking gas tanks. Leakage from underground gasoline tanks at service stations can damage the environment. It is estimated that 25% of these tanks leak. You examine 15 tanks chosen at random, independently of each other. (a) What is

Both questions 4 and 6. 4.Solve the following transportation problems in which warehouse 1 has 30 units, warehouse 2 has 30 units, and warehouse 3 has 30 units and in which store 1 needs 40 units and store 2 needs 40 units. The tables below give the transportation costs. Note that a dummy store will be needed for the excess supplies. 6.Solve the
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Determine the regression equation. X: 5 3 6 3 4 4 6 8 Y: 13 15 7 12 13 11 9 5

May someone help? 8. (15%) (Numerical Method for ODEs) Consider the initial value problem, dx dt = f(t, a) = - sin?(t)ac3 (t), t20, x(0) =1. (5) (a) (4%) Write the formula for the Euler method? Do one step of the Euler method with h = 0.1 to approximate x(0.1). (b) (6%) The second-order two-stage Runge-Kutta method is of the form K1 = f(th, k), K
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38% of adults say cashews are their favoorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nuts is (a) exactly three, (b) at least four and (c) at most two. If convenient, use technology to find the probabilities

Data from the Bureau of Labor Statistics Consumer Expenditure Survey (CE) show that annual expenditures for cellular phone services per consumer unit increased from $210 in 2001 to $608 in 2007. Let the standard deviation of annual cellular expenditure be $48 in 2001 and $132 in 2007. UseTable 1.

Hello, Please help If you want to be 95 % confident of estimating the population mean to within a sampling error of plus or minus 6 and the standard deviation is assumed to be 14 , what sample size isrequired?

Aoccdrnig to a rscheearch at Cmabrigde Uinervtisy, it deosn't mttaer in waht oredr the ltteers in a wrod are, the olny iprmoetnt tihng is taht the frist and lsat ltteer be at the rghit pclae. The rset can be a toatl mses and you can sitll raed it wouthit porbelm. Tihs is bcuseae the huamn mnid deos not raed ervey lteter by istlef, but the wrod as

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