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Mathematics Questions and Answers March 09, 2023

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20. A coupon bond matures in four years. Its par is $1000 and it makes eight coupon payments of $21, one every one-half year. The continuously compounded forward rate is r(t) = 0.022 + 0.005t0.004t2 + 0.0003t3. (a) Find the price of the bond. (b) Find the duration of this bond.

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A basketball coach wants to know how many free throws an NBA player shoots during the course of an average practice. The coach takes a random sample of 43 players and finds the average number of free throws shot per practice was 225 with a standard deviation of 35. Construct a 99% confidence interval for the average number of free throws in

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#8A local church parish wants to raise money to add to their campus. In a sample from a previous fund raising campaign, the parish found that of the 120 people in the sample theycontacted, that 85 actually contributed money. Of those that contributed money, the averagecontribution was $800 with a standard deviation of $250. In the recent

Given the following sampling distribution: X 0 1 2 11 15 P(X) 3 100 1 25 3 50 1 25 ___ (i) What is the mean of this sampling distribution? (ii) What is the standard deviation of this sampling distribution?

What percent of scores fall between minus one standard deviation and plus one standard deviation in a standard normal curve? Select one: a. 34.1%b. 13.6%c. 49.85%d. 68.2% The price-to-earning ratio for companies in a specific industry is normally distributed. What is the probability that a randomly selected company from this industry has a

In a simple random sample of 821 citizens, 63% said that they approve the tax raise for improving the infra-structure of the nation. 13.What is the margin of error of your estimate of the population proportion at a 95% confidence level? 14.Construct a 95% confidence interval for the proportion of all the people who approve the tax raise for

16. Phenobarbital and Phenytoin are both used to control childhood epilepsy. While both drugs work well for that purpose, doctors usually like Phenytoin because of the low number of side effects. However, since Phenobarbital is easier to store and costs less, it might be preferred in developing countries. Thus, researchers conducted a randomized

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Course: HLT-362V Applied Statistics for Health Care Professionals Explain the importance of random sampling. What problems/limitations could prevent a truly random sampling and how can they be prevented (With two or more references) Explain each sampling technique discussed in the Visual Learner: Statistics in your own words, and give examples of

Solve the optimization problem. HINT [See Example 2.]MinimizeF=8x 2 +8y 2 withxy 2 = 16. help please!

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1) Compute c fds. (*c is in the bottom of the integral) f(x,y)=2x-y c(t)=(e^t+1, e^t-2) 0 t ln2 2) Compute c fds. (*c is in the bottom of the integral) F(x,y)=x^2yi + (y-1)j, c is the triangle with vertices (0,0), (2,0), and (1,1), oriented counterclockwise

22. You are trying to get an important new customer to buy a product that you produce. Their decision to buy the product from you will depend primarily on the speed with which you can produce the product once they have placed an order. Currently, it takes you 70 hours on average to produce the product with a standard deviation of 8 hours. From

A small commuter airline is concerned about reservation no shows and, correspondingly, how muchthey should overbook flights to compensate. Industry research indicates that 20% of the people makinga reservation will not show up for a flight. Whether or not one person takes the flight is considered to beindependent of other persons holding

The length of life (in hours) of a certain type of electric bulb has a mean of 500 hours and a standard deviation of 35 hours. What is the probability that a random sample of fifty bulbs will have a mean life between 488 and 505 hours? Please show step by step solution

Computing the samplecorrelation and the coefficients for the least-squares regression line

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A sample of 250 adults tried the new multigrain cereal "Wow!" A total of 187 rated it as excellent. In a sample of 100 children, 66 rated it as excellent. Using the 0.1 significance level, the researcher wishes to show that adults like the cereal better than children. What is the pooled proportion? .723 1.408 .494 .807 A company is researching the

An electronics company would like to estimate the web browsing battery life of their tablet. The following data represents the batterylife,inhours,experienced by six users. What is the point estimate for the batterylife,inhours,of thetablet? 10 13 12 16 10 8 A. 10.19 B. 13.26 C. 9.68 D. 11.50 2. A retail chain would like to test if a difference

The Schriber Corporation The Schriber Corporation ASSUMPTIONS: Benefit Increase Hourly Emp Increase Salaried Emp Increase Investment Return Hourly Employees Salaried Employees Triangular Normal Tnormal Normal 2.0% 4% 2% 12% 3.5% 1% 1% 2% 7.0% 1% 4% 1 6,000 3,000 2 6,184 3,053 3 6,427 3,174 4 6,755 3,252 5 7,095 3,290 6 7,334 3,346 7 7,647 3,451 8

1) Consider a frozen product. Suggest potential adjustments on the simple EOQ model to consider Modal choice decisions Volume Transportation Rates Special handling Tips: Use examples 2) Emery Pharmaceutical uses an unstable chemical compound that must be kept in an environment where both temperature and humidity can be controlled. Emery uses 800

Lab 3 - Graphical and Numerical Summaries Lectures Covered: 5-7 Tutorial Before we start, you will want to make sure that the ggplot2 package is downloaded and ready to go. library(ggplot2) To start today, we will generate a set of data to use for analysis. set.seed(235) data1 = factor(sample(1:5, 50, replace = TRUE)) data1 = as.data.frame(data1)

What sample size is needed to give a margin of error within+/- 2%in estimating a population proportion with95%confidence? We estimate that the population proportion is about 0.2. Please state sample size and how you got your answer

A building has x floors. The number of apartments on each floor is 6 less than the number of floors. The number of rooms in each apartment is 1 less than the number of apartments on each floor. The expression below shows the total number of rooms in the building: x(x - 6)(x - 7) Part A: What does x(x - 6) represent? (4 points) Part B: What type of

The bad debt ratio for a financial institution is defined to be the dollar value of loans defaulted divided by the total dollar value of all loans made. A random sample of six Ontario banks is selected and the bad debt ratios (in percentages) for these banks are: 7,4,6,7,5,8, Compute and interpret a 95% confidence interval for the mean bad debt

Month Microsoft Jan-03 -0.08201 Feb-03 0.00211 Mar-03 0.02152 Apr-03 0.05576 May-03 -0.03717 Jun-03 0.04185 Jul-03 0.03003 Aug-03 0.00417 Sep-03 0.04827 Oct-03 -0.05396 Nov-03 -0.01645 Dec-03 0.06457 Jan-04 0.01023 Feb-04 -0.04051 Mar-04 -0.06031 Apr-04 0.04813 May-04 0.00383 Jun-04 0.08883 Jul-04 -0.00245 Aug-04 -0.03896 Sep-04 0.01282 Oct-04

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The distribution of weights of individualStarburstcandies has mean=0.918grams and standard deviation=0.0357grams. Letxdenote the mean weight of the24Starburstcandies in a package you have just purchased. Question 1. What is the expected value E(x) of the sampling distribution ofx? grams Question 2. What is the standard deviation SD(x) of the

Frequency Distribution - Quantitative Maintenance lower 320 340 360 380 400 420 440 460 480 500 520 540 560 Histogram 20.0 Percent 18.0 16.0 14.0 12.0 10.0 8.0 6.0 4.0 2.0 0.0 Maintenance Descriptive statistics Maintenance count 80 mean 450.29 sample variance 2,882.18 sample standard deviation 53.69 minimum 329 maximum 570 range 241 1st quartile

x P(x) 0 1 2 3 4 5 0.02 0.15 0.31 0.24 0.17 0.11

What is the antiderivative of the equation integral(x/ln(x))?

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18. When solving an assignment problem, if there are 5 sources and 5 destinations, which of the following statements is true? Select one: (a). There are 10 arcs in network form and 10 occupied cells in table form.(b). There are 25 arcs in network form and 5 occupied cells in table form.(c). There are 10 arcs in network form and 20 occupied cells

If you need assistance using Excel, you can access a tutorial that is appropriate for your experience level and your version of Excel. Access these tutorials at Atomic Learning using your SNHU login at: Mastering Excel 2013 The Data Analysis ToolPak is an add-in program for Microsoft Excel. It must be added in to the software before it can be

2. A sample of n = 16 individuals is selected from a population with = 30. After a treatment is administered to the individuals, the sample mean is found to be M = 33. a. If the sample variance is s 2 = 16, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant

Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are the summary statistics from the study. (Note that you are given standard error, not standard deviation.) 3.23 to 5.793.23 to 5.79 Sex n Mean Standard error Males 59 2.91 0.19 Females 60 7.42 0.32 How different are male and female zebra finches in bill

A jar contains four white marbles, five red marbles, and six black marbles. If a marble was selected at random find the probability that it is white or black. Place your answer rounded to 2 decimal places.

A group of 20 people consists of 10 married couples. Assume each married couple consists of one man and one woman. These 20 people are then randomly arranged into 10 pairs of two each, disregarding who they are married to. What is the variance of the number of married couples that are paired together? A.0.58 B.0.61 C.0.47 D.0.53

Serial numbers for a product are to be made using letters followed by numbers. If the letters are to be taken from the first letters of the alphabet with no repeats and the numbers are taken from the digits through with no repeats, how many serial numbers can be generated?

ACTL2131/5101 Assignment Submission deadline: Friday, 27 May, 11am sharp via Turnitin Start body copy here. Please use any style within the Arial Font Family. This assignment deals with analysing data, and consists of a mix of practical questions. There are two main tasks in this assignment. Both have components of knowledge and problem solving

For a normal distribution curve with a mean of 6 and a standard deviation of 5, which of the following ranges of the variable will define an area under the curve corresponding to a probability of approximately 34%?

E-mail messages sent over the Internet are broken up into electronic packets that may take a variety of different paths to reach their destination where the original message is reassembled. Suppose that the nodes in the graph shown in Figure 5.39 represent a series of computer hubs on the Internet and the arcs represent connections between them.

A supermarket is interested in finding out wheather the mean weekly sales volume of Coca-Cola are the same when the softdrinks are displayed on the top shelf and when they are displayed on the bottom shelf. Ten stores are randomly selected from the supermaket chain with 5 stores using the top shelf display and 5 stores using the bottom shelf

A client weighs 201 lb (91.5 kg) and has a maximum aerobic power of 40.7 mL/kg/min. What exercise intensity (power output) on a cycle ergometer will enable him to maintain a target training intensity of 7.9 METs? Show your calculation. A 950 kgm/min B 1050 kgm/min C 1150 kgm/min D 1250 kgm/min

PROBLEM 1 Answer the following questions. 1How many times louder is a 60 dB sound than a 10 dB sound? 2How many times more energy is released by a magnitude 5 earthquake than by a magnitude 3 earthquake? 3When you are 2 meters away from the speakers at a concert, the sound level is 140 db. How far away should you sit to reduce the level to 100 dB?

A large community college district has 1000 teachers, of whom 50% are men and 50% are women. In this district administrators are promoted from among the teachers. There are currently 50 administrators, and 70% of these administrators are men. A. If administrators are selected randomly from the faculty, what is the approximate probability that the

Department ofMathematies Math 131 (Calculus l) 'Vorkshect 6 Secs 3.1-33 Derivative Rules and Product & Quotient Rules (Created by Dr. Rajah Varatharajuh) Norlh Carolina A&'l' State University Name: Class: Score: (60 points" Group Name: Group Memlierl: Group MemberZ: l. (16 pts) Evaluating the following derivatives using the derivative rules. a.

The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the

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Find an equation of the line satisfying the given conditions; the equation has an x-intercept of -4 and a y-intercept of 5. Express your answer in the form y = mx + b. y = 4/5x - 4 y = 4/5x + 5 y = 5/4x + 5 y = 5/4x - 4

A 6-faced fair dice is rolled repeatedly till 1 appears for the first time. The probability that the dice is rolled for even number of tim s is ( a ) 1/6 ( b ) 5/36 ( c ) 6/11 ( d ) 5/11

Sample Data for Supermarket Profits. Supermarket Number 1 2 3 4 5 6 7 8 9 10 Food Sales Nonfood Sales (tens of thousands (tens of thousands of dollars) of dollars) 305 130 189 175 101 269 421 195 282 203 35 98 83 76 93 77 44 57 31 92 Store Size (thousands of square feet) 35 22 27 16 28 46 56 12 40 32 Profit (thousands of dollars) Y 20 15 17 9 16

Considering your dissertation research interests, identify one continuous variable (Y) to be what you are trying to predict. Then identify three other continuous variables that you would want to evaluate as predictors of Y. State the null and alternative hypotheses based on this design (with a planned analysis using a multiple regression

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1 THD Company allocates fixed amount of money as in the table below for weekly expenditures to its six branches (17 marks) Branches Allocation Kuala Lumpur (RM) 4000 (K) Penang (P) Ipoh (I) Alor Setar (A) Johor Bahru (J) Seremban (S) 3000 2000 2000 3000 3000 (a) Compute the number of ways to group samples of size 3 [2m] (b) Construct a sampling

What generally happens to the sampling error as the sample size is decreased?

Suppose that a popular hotel for vacationers in Orlando, Florida, has a total of 300 identical rooms. As many major airline companies do, this hotel has adopted an overbooking policy in an effort to maximize the usage of its available lodging capacity. Assume that each potential hotel customer holding a room reservation, independently of other

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You are checking a 4-sided (tetrahedral) die to see if it is fair. You roll it 1000 times. After performing the chi-square calculation based on an expectation of equal amounts of each outcome, you end up with a calculated value of 14.1. Which is the best action / conclusion?

7-14 The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling.

50. A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that customers will arrive at the desk at the rate of 15 per hour. It takes an average of two minutes to answer a question. It is assumed that arrivals are Poisson and answer

The value of x that makes x 2 + 6x + 13 maximum is equal to A. 6 B. -3 C. 13 D. 3

Linear Regression Question R3 The table below presents data from the 1975 volume of Motor Trend concerning the gasoline mibage performance and the engine displacement for 15 automobiles. Fit a regression model relating mileage performance and engine displacement. How significant is the relationship? EEDIZEEL'EEEIIE 18.9 El 1. Use a scatterplot in

A conical tank (with vertex down) is 20 feet across the top and 24 feet deep. If water is flowing into the tank at a rate of 14 cubic feet per minute, find the rate of change of the depth of the water when the water is 10 feet deep. (V=1/3(pi)r^2h)

Details: Doctoral researchers must be able to understand statistical tests and select the appropriate test for the research they are conducting. This assignment will allow you to practice your skills in selecting and using the appropriate statistical tests for a given research study. General Information: Use the following information to ensure

Delivered 0 1 2 3 4 5 6 Probability

11/5/2016 Quiz: ch. 11. EXERCISES ch. 11. EXERCISES Started: Oct 31 at 3:57am Quiz Instructions These are selected chapter exercises to help you with the chapter assignment/quiz. Please be sure to open your assignment early to take a look at the questions. Remember to watch the VIDEO LECTURE EXAMPLE for how to solve step by step both the

For this assignment, you will undertake an analysis based on a self-designed fictitious study that utilizes statistical methodologies. You will first develop a fictitious problem to examine - it can be anything. For example, maybe you want to look at whether scores on a standardized college placement test (like the SAT) are related to the level of

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The answers to questions like these are of great interest to corporations that process and package food and other goods. In this chapter, you will investigate

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I have an hour starting now! Please check your answers before you send me them. Thank you. Question 1 Suppose you have a distribution, X, with mean = 22 and standard deviation = 5. Define a new random variable Y = 8X - 3. Find the mean and standard deviation of Y. a)E[Y] = 173; Y = 320 b)E[Y] = 176; Y = 37 c)E[Y] = 176; Y = 320 d)E[Y] = 173; Y =

Small boxes of NutraFlakes cereal are labeled "net weight 10 ounces." Each hour, random samples of size n = 4 are weighed to check process control. Five hours of observations yielded the following: Using these data, construct limits for x and R charts. Is the process in control? What other steps should the QC department follow at this point? Time

can anyone help me with this? perform the indicated operations and simplify. Please show work. 3/8 + 5/12

The following examples are experiments and their associated random variables. In each case identify the values the random variable can state whether the random variable is discrete or continuous.

Give an example of two Sample Proportions the difference of which you as a Health Professional would like to use to make a Statistical Inference. Your discussion MUST include the target Populations of your Statistical Inference activities along with what sample characteristic the sample proportions are measuring.

For Questions 13, use the differential equation given by , y > 0. 1. Complete the table of values x 1 1 1 0 0 0 1 1 1 y 1 2 3 1 2 3 1 2 3 dy/dx 3.Find the particular solution y = f(x) to the given differential equation with the initial condition f(0) = 4. Use the following information for Questions 4 and 5. Newtons law of cooling states that the

A fantasy sports league is making up their season schedule. The league has 12 teams, with eight teams from Purdue, and the rest from IU. If we assume each teams opponents are randomly assigned but they cannot play with the any of the other teams more than once. Each team has 6 games in a season. Pete is in this league and he is from Purdue. Pete

MAT126, Paper Homework \"Nab\" 1. After being kidnapped on a trip to Canada, little Jimmy was able to see the speedometer of the kidnapper's car, and carefully noted down the speeds (in km/hr) every tenth of an hour (six minutes). Jimmy was able to send these speeds to his friend Juan via a message tied to the leg of a pigeon. Juan wants to figure

Price$ Price$ Mean 89323.18 Standard Er 951.6837 Median 89549.39 Mode #N/A Standard D 21597.14 Sample Var 4.7E+008 Kurtosis -0.07098 Skewness -0.191524 Range 121163.2 Minimum 27238.5 Maximum 148401.7 Sum 46001439 Count 515 Confidence 1869.668 Mean 87087.25 Standard Er 653.6779 Median 88107.39 Mode #N/A Standard D 20671.11 Sample Var 4.3E+008

Sales for boxes of Girl Scout cookies over a 4-month period were forecasted as follows: 100, 120, 115, and 123. The actual results over the 4-month period were as follows: 110, 114, 119, 115. What was the MSE of the 4-month forecasts? Select one: a. 28.00b. 54.00c. 7.00d. 216.00e. 108.00

Suppose that X represents the name of a disease. An epidemiologist conducts a survey of disease X in a population. The prevalence of disease X among women is 40/1,000 and among men is 20/1,000. Assuming that the data have been age adjusted, is it correct to conclude that women have twice the risk of disease X as men? Explain.

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According to LIMRA, 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that less than two families have life insurance?

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Estimate the area A between the graph of the function f(x) = sq root x and the interval [0,36]. use an approximation scheme with n =2,5 and 10 rectangles. Use the right endpoints. If you calculating utility will preform automatic summations estimate the specificed area using n =50 and n =100 rectangels. round answers to 3 decimal places: A2= A5=

Need ASAP The president of a university would like to estimate the proportion of the student population that owns a personal computer. In a sample of 500 students, 417 own a personal computer. Find the margin of error for a 95% confidence interval for the proportion of the student population who own a personal computer.

Which one of the following is not a vector of disease?

The test statistics forone-way ANOVA follows the_______. A. binomial distribution B. normal distribution C. Student's t-distribution D. F-distribution A. binomial distribution B. normal distribution C. Student's t-distribution D. F-distribution

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