Mathematics Questions and Answers January 11, 2022

A particular electronic device will only function correctly if two essential components both functions correctly. The lifetime of the first component is known to be exponentially distributed with a mean of 6000 hours and the lifetime of the second component is known to be exponentially distributed with a mean of 7000 hours. Find the proportion of

1. Consider the regression model Y = XB+e where E~ MN(0, 62I), Y is n x 1, and $ is (k + 1) x 1.Let b be a (k + 1) x 1 vector such that b's is estimable. Given a g-inverse F of X'X and Bo = FX'Y. Define Z = b' Bo - b'B SSE Vo2b'Fb V=: g2 Show that Z and V are independent

Suppose the tangent line toy=f(x) at the point (4,3) passes through the point (0,2), findf(4) andf(4).

dy day Use implicit differentiation to find and then dx 2 dx V2 = 3x2 - 10 x

Bb GHW4(1).pdf X + X C elearning.utdallas.edu/bbcswebdav/pid-3624582-dt-content-rid-89316597_1/courses/2208-UTDAL-MATH-2414-SEC701-80367/GHW4%281%29.pdf K GHW4(1).pdf 4) Given the following improper integral : sin (x) x2 + 1 dx a) Split the integral into two improper Type-1 integrals b) Use the Comparison Test for Improper Integrals to determine

Please answer question 15-27. Thank you. Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of five jobs per 8-hour day. The time required to

. True or False? In a study of cardiovascular risk factors, we might collect information on participants such as whether or not they have diabetes, whether or not they smoke, and whether or not they are on treatment for high blood pressure or high cholesterol are examples of ordinal variable?

In a poll of 500 university students, 235 said that they were opposed to legalizing marijuana. What is the probability that a surveyed student opposes legalization of marijuana? Group of answer choices 0.887 0.47 0.53 0.113

How do you calculate the standard error of sampling if the sample is 100, the mean is 60 and the SD is 12

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diketahui x menyebar normal dengan = 50 dan = 10, hitunglah peluang P (X < 50)

Using Excel, construct one graph showing the entire distribution from 0 to 10 for: A. Hypergeometric, where n = 10, N = 45, D = 25 B. Binomial, where n = 75 and p = 0.08 C Poisson, where np = 6 3 different graphs

For an experiment comparing more than two treatment conditions, researchers use analysis of variance rather than separate t tests because _____.To determine the effect of color on problem-solving performance, Diana conducted an experiment in which she varied only the color of anagrams (red, green, or black) and measured the number of anagrams

3. The results of three ips of a biased coin are observed. The probability of a head occurring is 0.8. Consider the following events: A: At least two tails are observed B: exactly one head is observed C: exactly two heads are observed a} [2] List an appropriate sample space S for this experiment. b) [1] Are the events of getting a head on ip

You might want to use stepwise regression when: You might want to use stepwise regression when: You believe you may be violating some assumptions of least squares regression You don't have enough predictors to utilize multipl regression You want to eliminate some of your less useful predictors in a complex model You have a very simple regression

What is the standard deviation? The monthly salaries (in thousands of dollars) of a sample of5 sales representatives are as follows: 12,9,7,6,6

MacDonald Products, Inc., of Clarkson, New York, has the option of (a) proceeding immediately with production of a new top-of-the-line stereo TV that has just completed prototype testing or (b) having the value analysis team complete a study. If Tyrone Martin, VP for operations, proceeds with the existing prototype (option a), the firm can expect

To study the educational benefits of showing YouTube videos to students in face to face classes, an instructor shows youtube videos in his afternoon class but not his morning class, and then compares the final exam scores of his classes. In this example, the time of day the class meets is a........ variable

I don't understand how to solve the problem. Can you help me solve? 3 k = 1 ( k / k + 1 ) I know the answer is 23/12, but I don't know how to get to the answer. Thanks, Lisa

Question 1. The Centers for Disease Control and Prevention reported that diastolic blood pressures of adult women in the U.S. are approximately normally distributed with mean 80.5 and standard deviation 2.9. Find the 67th percentile of the blood pressures. [2 pts] Question 2. If a normal population has a mean of 1 and a standard deviation of ,

Given the following pairs of points. (Show all work - Not just from Excel) X Y 13 24 14 22 14 25 17 30 9 20 10 21 9 17 18 33 20 36 Please show all steps a. Draw a scatter diagram and, in a complete sentence, speculate on the linear relationship between the two variables. b. Find the coefficient of correlation and, in a complete sentence, determine

Would you consider conducting a cross-tabulation analysis using MLTSRV and MFPAY? Select one: a. Yes, they are both nominal variables taking on two values each. So a 2x2 makes sense. b. No, it doesn't make any sense trying to establish a relationship between these two variables

A company wants to group a collection of autographed photos by price ranges. Make a relative frequency distribution of the prices using the intervals $0-59.99, $10-$19.99, $20-529.99, $30-539.99, and $40-549.99. $250 $375 $5.27 $21.50%43.00 515.00 = $26.23 $14.76 $12.75 $28.00 $37.50 $48.00 $750 $650 $750 $8.00 $1250 $15.00 $9.50 $8.25 $40.56

A mediation study will be conducted by a researcher to ascertain the extent to which a third variable (referred to as the mediator) elucidates the relationship between two other variables (referred to as the independent and dependent variables). A mediation model uses statistics to examine how an independent variable (X) affects a dependent

facebook considers some a 'regular user' if they log on their facebook page at least three times per week. In a survey of college students, 729 out of 900 women surveyed said that they log on to their facebook page at least three times per week

Sadie is selecting twopieces of paper at random from the stack of colored paper in her closet.The stack contains several sheets of each ofthe standard colors: red, orange, yellow, green, blue, and violet. All of the following are possible outcomes for Sadie's selection, EXCEPT: a) Green, violet b) Red, red c) Orange, yellow d) Blue, black

Customers arrive at your store based on a Poisson process with a mean of 4 arrivals per hour. It is currently 3:00 pm and the last customer came in at 2:15 pm. What is the probability that no new customers will arrive before 3:15 pm? Include 4 places past the decimal in your answer.

1.An inverted conical water tank with a height of 12ft and a radius of 6ft is drained through a hole at the vertex at a rate of 2ft^3 / s . What is the rate of change of the water depth when the depth is 3ft ? (Hint : use similiar triangles) 2.A 12-ft ladder is leaning against a vertical wall when jack begins pulling the foot of the ladder away

Encuentre la probabilidad indicada. Redondee a la milsima ms cercana. En un procedimiento de anlisis de sangre, muestras de sangre de 6 personas se combinan en una mezcla. La mezcla slo tendr resultados negativos si todas las muestras individuales son negativas. Si la probabilidad de que la muestra de un individuo de positiva es 0.11, cul es la

What is a measure of the "voice of the process"? Question 27 options: 1) Average 2) Variation 3) Range 4) Capability

Could you help me with the Lab Chapter 10(Statistics), its about the oil company. I think my Null and Hypothesis are right but everyone else has a different answer. Could you help me figure out what I am doing wrong. My Null Hypothesis was that M <30, and my alternative was that M>30. Could you tell me if this is right and if not, what I am doing

Andrea is making a sandbox for her children. She has made a wooden frame for her backyard that is 2 feet long, 5 feet wide, and 4 feet deep. She can purchase sand for the sandbox for $20 per cubic meter. How much will it cost Andrea to purchase sand? (Hint: 1 foot = 0.3048 meters.) (Round your answer to the nearest dollar.) ANSWER:___________

Q4: The data presented below represents the quarterly Southdown revenues earned during the period 2001-2003. Assume that the time series model is multiplicative and without trend component. Compute seasonal indiees and deseasonaljze the data. [15]

Which of the following is an example of a quantitative variable? Group of answer choices class standing (sophomore, junior, etc.) eye color whether someone is right-handed or left-handed religion price for a gallon of gasoline

Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. A B C X P ( X ) X P ( X ) X P ( X ) 5 0.1 5 0.1 5 0.1 10 0.7 10 0.7 10 0.7 15 0.1 15 0.1 15 0.1 20 0.3 20 0.5 20 0.1 a. Which is it? (Click to select) A B C b. Using the correct probability distribution, find

Exercise 1.3. It can be shown that the probability density function of Sn is given by fsn (20) = In (n - 1)! on-le-Xx x 2 0 (1) Using this density function, show that the probability density function of Yn is nn -1/2 n-1 fyn (y) = (n - 1)! 1 exp y > - vn (2) HINT: First, write In as a function of Sn. Then, use this function to determine both (a)

Need help with my quiz can you answer each part showing work thank you MAT 122 Test 2 - Page 4 of 12 Summer 2024 MAT 122 2. A store sells three soft drinks A, B and C. The manager of such a store claims that Test 2 - Page S of 12 customers are equally likely to buy each soft drink. He obtained a simple random sample of recent customers and the

Approximately 17% adults in Philadelphiasmoke (PHMC, 2022).Smoking in Philadelphia has seen adecline the past 10 years but is still higherthan the national average (12.5%) (CDC).National average for smoking: Men (17%)and Women (14%).Philadelphia average for smoking: Men(23%) and Women (17%)

For the Old Faithful study, which of the following statement accurately describe the results of the requirement check for inference involving a linear regression? (Select all that apply.) Group of answer choices There is a linear relationship between the variables because the scatterplot shows a "hot dog" shape and the residual plot shows random

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A clinical trial is being conducted in order to determine the efficacy of a new drug that will be used to treat rheumatoid arthritis. The efficacy of the medication will not only be determined by the physical improvement of symptoms but will also be determined by using a blood test to examine the concentration of C-reactive protein (an

Side-by-Side Boxplots of the 6 Types of Alloys 4.50 4.25 30 Instrength 4.00 O 3.75 3.50 type 1 type 2 type 3 type 4 type 5 type 6 type

Which level of measurement is a continuum of numeric values that are ranked or ordered and the intervals are not meant to be equal?

Need help with this question for my quiz. Show all needed work please 1. A simple random sample of 9 paired values (x, y) yields Ex = 19. )y - 70. J() - 256. Ex - 77. 3x2 - 913 = 211, s. -2.15. 7 - 7 78. 5, - 679. (a) (10 points) If n is the number of paired values (x, y), then compute each of the following. (1) a(Exy) - Co(y) = (2) "(Xx) - ()n) =

Hello, this is an Applied Statistics question. If can help with #1-2. The attached picture has the discussion information. Thank you!A) This was a little confusing at first, so it's possible I am misunderstanding what I am supposed to be reporting here, but to the best of my ability, my recommendation is that B&K should choose the silver package

The BK Real Estate Company sells homes and is currently serving the Southeast region. It has recently expanded to cover the Northeast states. The BK realtors are excited to now cover the entire East Coast and are working to prepare their southern agents to expand their reach to the Northeast. BK has hired your company to analyze the Northeast home

8) A professor tests whether the loudness of noise during an exam (low, medium, and high) is independent of exam grades (pass, fail). The following table shows the observed frequencies for this test. Noise Level Low Medium High Exam Pass 19 18 9 46 Fail 9 6 10 25 28 24 19 N = 71 (a) Conduct a chi-square test for independence at a 0.05 level of

An inventor has developed a new, energy -efficient lawn mower engine. He claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. Suppose simple random samples of 500 engines were tested. The engines run for an average of 295 minutes, with a standard deviation of 20 minutes. Test the claim that

Explain Association and Predictive Models (Correlation, Causation & Regression), the hypothesis and the interpretation of outputs

Really need help with these three questions. Explanations are really appreciated. If h(x) = g[f(X)], use the table of values for f, g, f ' and g ' to find the value of h '(1). Numerical Answers Expected! Answer for Blank 1: Sat6. x5 x5 S, x5 5. :53 O '2: 3055 Domain: All real numbers. 3'2" and then select the response which is true. Use a graphing

Thanks so much for answering, only the answers will be ok. D Question 1 1 pts Part A (a) What is the range of possible outcomes for X? O {0, 1, 2} O [0, 2] O [-0.5, 2.5] O [0, 1] None of these Question 2 1 pts Part A (b) The value of P( X s 1.5 ) is closest to O 0.56 O 0.06 O 1 O 0.44D Question 3 1 pts Part A (c) What feature of the CDF tells you

Trains headed for destination A arrive at the train station at 15-minute intervals starting at 7 A.M., whereas trains headed for destination B arrive at 15-minute intervals starting at 7:10 A.M. (a) If a certain passenger arrives at the station at a time uniformly distributed between 7 and 8 A.M. and then gets on the first train that arrives, what

Find the volume of the solid obtained by rotating the region enclosed by: {1 point] Find the volume of the solid obtained by rotating the region enclosed by y=x3.y=3x,x3[} about the line 3: = C! using the method of disks or washers. l' 'l _ _ Volume: / 3 3 | | |_ _| ' '

Use the given odds to determine the probability of the underlined event. odds against being assaulted with a gun: 314 to 1

Please Help I am stuck with this question. Assume that X and Y are jointly continuous random variables with joint prob- ability density function given by f(z, y) = rty if 0

At 5% siginificance level, critical value = 1648 given n =540

Consider a national car rental company that is interested in testing whether there is a difference in mean mileage for SUVs driven in town versus those driven on the highway. Based on its experience with regular automobiles, the company believes the mean highway mileage will exceed city mileage. The company randomly selected 25 SUV rentals driven

Excel File Edit View Insert Format Tools Data Window Help 100% Sun 2:33 PM Q AutoSave OFF 3HW10_Data-2020 Home Insert Draw Page Layout Formulas Data Review View Tell me Share Comments Calibri (Body) 11 AA ab v General Insert v Ex Delete enviro injustice Paste BIU v A $ ~ % 9 Conditional Format Cell Sort & Find & Ideas pdf Formatting as Table

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n . (Round your answers to six decimal places.) A= /2 B=0 sqrt^3(2+ cos( x )) dx , n = 4

The US Census Bureau keeps track of insurance coverage and purchases in the United States. The purchase of life insurance often requires a physical examination. Life insurance data represents the health status of the US population. Question 17 options: 1) True 2) False

The term used to describe a controlled form of observation designed to verify an assumption is an: Question 1 options: elucidation. examination. experiment. analysis

Data produced by the US Bureau of Labor Statistics has shown that 28% of all new business establishments fail within the first two years. Suppose 6 business establishments that were newly established within the past two years are randomly selected and they are independent of each other. Calculate the probability that none of the businesses have

An example might be the number of minutes it takes to complete an accurate report. a. Statistics b. KPI c. Performance indicators d. Data Point

(b) Interpret the LS estimate of the regression coefficient for the log(Crime) term. (c) Refit the model in part (a) with an extra interaction term log(Crime) x log(Miles). Is the interaction between the two predictors significant at level o = 0.05? (d) Based on the model in part (c), for a community that is 12 miles away from Center City,

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) = 4; = 2 P (3 x 6) =

A computer consists of three processors. Their main task is to execute jobs from users. These jobs arrive according to a Poisson process with rate 15 jobs per minute. The execution time is exponentially distributed with mean 10 seconds. When a processor completes a job and there are no other jobs waiting to be executed, the processor starts to

Please submit a screenshot of your RStudio 2i work. Please make sure to include the following in your screenshot: 1. Your name at the top of the Rstudio screen. 2. Your Rscript that you used for Lab 2i. 3. The histogram that you used on the last slide of Lab 2i. NEED HELP WITH THIS LAB ALL INFO IS THERE DATASET IS THERE AS WELL R's Normal

43.Whenever we reject thenull hypothesis, as researchers what type of error are we most concerned that we may have made? Standard error Null hypothesis error Alternative hypothesis error Type II statistical error Type I statistical error 44.In the general population, patients who are recovering from bronchial pneumonia normally take a mean

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During that trial, the systolic blood pressure (in mmHg) of several patients who received the additional therapy was measured first at the baseline and then after the trial was completed. The corresponding data are presented in Table 2 below. Table 2: A hypothetical RCT: systolic blood pressure Use these data to decide whether the additional

The data shown below represent the repair cost for a low-impact collision in a simple random sample of mini- and micro-vehicles.$ 3130 $ 1033 $724 $650 $763 $1747 $3332 $ 2047 $ 2612 $1384

I am in data analysis class. Had to come up with a question and techinque to use to prove hypothesis or not. The question is: Is there a difference in the frequency of drug overdose deaths in West Virginia compared to United States over three years from 2014-2016? I have data for overdose deaths for three years per 100,000 people. I was using the

1. The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 154 residents whose mean number of pounds of trash generated per person per week was 34.8 pounds and the standard deviation was 8.5 pounds.Round answers to 3 decimal places

Given the following sets. A = {0, 1, 2, 3] B = {a, b, c, d] C = [0, a, 2, b] Find B U C. Ofa, b, c, d, 0, 2] Ofa, b, c, d) O empty set [0, a, 2, b] [0, 1, 2, 3}

Pedro is playing a card game where he randomly selects a card from a full deck. If the card is a spade, he wins. If it is not, he pays $4. A game is fair if the expected value is equal to zero. What amount would Pedro need to win when he picked a spade in order to make the game fair? $12 $16 $24 $48

Poll Results in the Media: USA Today provided results from a survey of 1144 Americans who were asked if they approved of Brett Kavanaugh as the choice for Supreme Court justice. 51% of the respondents said they did approve, and the margin of error was given as 3.5 percentage points. What essential element of the survey was omitted? Describe what

A crowd gathers around a movie star, forming a circle. The area taken up by the crowd increases at a rate of 36p ft/sec. How fast is the radius of the crowd increasing when the radius is 9 ft?

Ofce Equipment. Inc (OED. leases automatic mailing machines to business customers in Fort Wayne. Indiana. The company built its success on a reputation of providing timely maintenance and repair service. Each OEI service contract states that a service technician will arrive at a customer's business site within an average of three hours from the

Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week. Click here for the Excel Data File -0.24 -0.15 -0.35 -0.16 +0.42 -0.18 +0.45 +0.52 -0.15 -0.40 -0.40 -0.46 -0.48 -0.69 -0.09 -0.20 -0.35 +0.09

1) In a roll of film, there are 24 snapshots, but the store does not always print all of them. The following table gives the number of printed pictures and their probabilities: X | Y 20 |0.12 21 |? 22 |0.49 23 |0.20 24 |0.05 a) Find the missing probability in the table above. (2 decimal places) b) Find the Expected Value for the above table. (2

4. Determina el punto mximo de la siguiente funcin: f (x) = x 3 - 3x + 5 A.(-1,3) B.(1,7) C.(1,3) D.(-1,7) 5. La cardinalidad del conjunto meses del ao es: A.12 B.4 C.{Todos los meses del ao} D.{Enero, Febrero, Marzo, ..., Diciembre} 6. Selecciona la opcin que contiene la informacin correcta acerca de la funcin f(x) = x 4 - 2x 3 - 12x 2 +4x - 3 A.

Find the(a) mean,(b) median,(c) mode, and(d) midrange for the data and then(e) answer the given question. Listed below are the jersey numbers of 11 11 players randomly selected from the roster of a championship sports team. What do the results tellus? 97 54 20 69 13 24 4 49 85 60 51

1. A linear regression is used to investigate the relationship between net cost of university (x) and the early career pay (y) for 49 universities. Below is part of the ANOVA table for the linear regression: \f

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De cuntas islas estn formadas las Antillas Mayores? Estas formadas de slas. 2. Cmo era el pueblo tano? El pueblo tano era Y usted? Conteste las preguntas. 1. Qu significan en ingls las ltimas palabras del prrafo? barbacoa: canoa: tabaco: hamaca: huracn: 2. Conoce algunos de los pueblos que vivan en lo que hoy son los Estados Unidos cuando llegaron

Please provide clear explanation and show your steps. Thank you! 7. Friends (10 points) Consider a group of n people where each pair of people is friends independently with probability 1/2. What is the expected number of triples of pe0p|e that are all friends, i.e. triples AB, C such that A is friends with B and B is friends with C and A is

Use the data in the following table, which lists carbon dioxide concentrations (in parts per million) for each year from 1960 to 2003, with projected values used for the last four years. After finding the values of the mean and range for each decade, find the values of x, and A. Alse find the values of LCL and UCL for an R chart, and find the

How can inferential statistics be applied to the population? Include how inferential statistics can support reliability and validity. When analyzing qualitative data, what are the ways in which trustworthiness can be established? with apa citations

Use the given confidence level and sample data to find a confidence interval for the population standard deviation sigma . Assume that a simple random sample has been selected from a population that has a normal distribution. Salaries of college professors professors who took a statistics statistics course in college 80% confidence, x=$60,700,

............................................................................................................................................................... ................................................................................................ Scientist sampled 6 old people in various living environments ( red text ) . The following

Explain how to perform atwo-sample t-test for the difference between two population means. Which explanation below best describes how to perform thetwo-sample t-test? A. Determine the degrees of freedom. Specify the level of significance. State the hypotheses and identify the claim. Find the criticalvalue(s) and identify the rejectionregion(s).

Find all exact solutions in radians, in [0, 2) . A. 2cosxcos(2x) = cos x B. tan(2x + /3) = -1

10% of a countries population are left handed a) what is the probability that 5 people out of a group of 20 are left handed? b) what is the expected number of left handed people in a group of 20?

Please help me anwser this im confused on this subject and need work to support my anwser 3) Normal Distribution applied to data: In 2012, the murder rates (per 100,000 residents) for the 50 states and the District of Columbia (D.C.) had a mean of 4.45 and a standard deviation of 2.37. Source: a. D.C. had a murder rate of 13.9. Find its z-score.

What is the effect size measure (round to 2 decimal places) for Chapter 11 questions 21 shown below A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are equal. The in formation is

Assume that X, Y and Z are the amounts invested in three different investment instruments at Consolidated Bank. To diversify the investments, the client requires that no more than 60% of the amounts invested can be in "Y". The constraint for this requirement can be written as: O 0.4X - 0.6Y - 0.62 2 0 O -0.4X + 0.6Y + 0.62 0 O X2.60 (X + Y + Z) O

Overland Group produces truck parts that are used in semi-trailers. The chief accountant wants to develop a regression model that can be used to predict costs. He selects manufactured units of production as a predictor variable and collects the data seen here. The costs are in thousands of dollars and the units in hundreds. Units 12.3, 8.3, 6.5,

X is uniform in the range [0,1]. Obtain the pdf of Y=-3log(X). What is its mean? 3. If g(X)=FX(x), where X is a continuous random variable, obtain the pdf, CDF and the mean of g(X). 4. X is uniform in [-2,6]. Obtain the pdf and CDF of Y=1/X2 . 5. An organization purchases 10 computers from a manufacturer with lifetimes modeled as exponential

a. Roll the die 18 times and keep track of what is rolled in the table below. Remember, if you do not have one, you can use virtual dice: https://www.random.org/dice/ (2 points)

Based on Regression2, how many more albums are sold in the week after release for each additional time a song from the album is played on the radio in the week before release? (Compare the answer to this question to the additional sales generated from spending 1000 British Pounds on advertising. If you are curious enough, you could try and compute

A local restaurant wants to determine what proportion of their customers prefer red wine with dinner instead of white wine. If they use a 99% level of confidence, how many customers do they need to survey to be within 2.5% of the true proportion?