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Mathematics Questions and Answers March 10, 2023

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The 2006 General Social Survey contains information on the number of hours worked by a respondent each week. The mean number of hours worked per week is 39.07, with a standard deviation of 12.51. The sample size is 121. Using this data, provide a hypothetical numerical example which demonstrates that the precision of a confidence interval is in

True or False. Justify for full credit. Show work (a) If the variance of a data set is zero, then all the observations in this data set are zero. (b) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.9. (c) A 95% confidence interval is wider than a 90% confidence interval of the same parameter. (d) In a right-tailed test,

Moore, 6.48: Testing a random number generator: A random number generator is supposed to generatenumbers uniformly distributed between 0 and 1. If this is true, then the population mean shouldbe .5; you generate 100 random numbers and get sX = x = .522 with standard deviation .316. Youinterpret this standard deviation as the population standard

1 Evaluate the function at the indicated value of x. Round your result to three decimal places. Function: f(x) = 0.5x Value: x = 1.7 -0.308 1.7 0.308 0.5 -1.7 QUESTION 2 Match the graph with its exponential function. y = 2-x - 3 y = -2x + 3 y = 2x + 3 y = 2x - 3 y = -2x - 3 QUESTION 3 Select the graph of the function. f(x) = 5x-1 QUESTION 4

Is the Diet Practical? When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb (based on data from Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction, by Dansinger et al., Journal of the American Medical

Chapter 14 please complete the following: (3) A group of executives have to allocate investment funds between six possible product lines. Their objectives are: (i) to maximize the growth of the company, (ii) to maximize export earnings, (iii) to maximize profit and (iv) to minimize risk. After much debate the group decide to assign the following

Data Set 3 --Buena School District Bus Data Bus Number X1 Maintenance X2 Age X3 Miles X4 Type X5 Bus-Mfg X6 Passenger X7 Bus Number 135 120 200 40 427 759 10 880 481 387 326 861 122 156 887 686 490 370 464 875 883 57 482 704 989 731 75 162 732 751 600 948 358 833 692 61 9 314 396 365 398 43 500 Maintenance 329 503 505 466 359 546 427 474 382 422

(a) Predict annual sales (one best number) for a broker who brings in 12 new clients in one year. (b) With a 95% confidence level, what are the predicted low and high annual sales for a broker who brings in 12 new clients in one year? (c) Based on all of the above analysis (Questions 10 - 16), should the predictions in (a) and (b) be used? That

12 Solve the quadratic equation by factoring. x2 - 6x + 5 = 0 -1,5 -1,-5 1,-5 1,5 6,5 QUESTION 20 Find g f (x) = x3, g(x) = x - 1 x3 - 1 x3 (x - 1)3 (x3 + 1) (x + 1)3

If the average complaints in Verizon per day is 4 what is the probability to get 12?

Correlations childs rachaf rachmost abpoor homesch childs Pearson Correlation 1 -.798 -.760 -.271 -.682 Sig. (2-tailed) .106 .136 .660 .318 N 10 5 5 5 4 rachaf Pearson Correlation -.798 1 .982 ** .653 -.334 Sig. (2-tailed) .106 .003 .232 .666 N 5 5 5 5 4 rachmost Pearson Correlation -.760 .982 ** 1 .587 -.469 Sig. (2-tailed) .136 .003 .298 .531 N

The average of first five multiple of 3 is =................?

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Four tiles lettered M,A,T, and H are face down on a table. A tile is selected, the letter recorded, the tile is replaced, and the process is repeated. What the experimental probability of selecting an A. The results are M-6, A-3, T-4, H-7.

Box A has 2 green and 5 blue marbles in it. Box B has 9 green and 6 blue marbles in it. A marble is drawn from Box A, transferred to Box B, and then a marble is drawn from Box B. What is the probability a blue marble was drawn from Box A, if you know a green marble was drawn from Box B?

in 2006, the general social survey asked, " in the past 12 months, have you experienced back pain?" for this question, 475 people said that they did out 1723 randomly selected people. what is the 95% confidence interval for the proportion of all Americans that have experienced back pains in the past 12 months?

To estimate the time required to provide a given laboratory procedure, suppose that we measured the amount of time required when the service was provided on 60 occasions. Based on this sample we obtained a mean of 20.32 minutes and a standard deviation of 3.82 minutes. What can we say with a probability of 0.95 about the size of the error when we

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Use this information to approximate the mean number of calls per day. phone calls per day frequency 8-11 17 12-15 29 16-19 16 20-23 46 24-27 34

When the p-value is used for hypothesis testing, the null hypothesis is rejected if: B. "alpha" is less than the p-value A. the p-value is less than or equal to "alpha". C. The p-value is greater than or equal to "alpha" D. The p-value is equal to "alpha"

You are camping, and have an 8-liter bowl which is full of fresh water. You need to share this water fairly into exactly two portions (4 + 4 liters). But you only have two empty bowls: a 5-liter and a 3-liter bowl. Divide the 8 liters in half in as short a time as possible.

A network has three independent file servers, each with 90 percent reliability. The probability that the network will be functioning correctly (at least one working) at a given time is:

The scores of a certain population on the Wechsler Intelligence Scale for Children (WISC) are thought to be Normally distributed with mean . A simple random sample of 25 children from this population is taken and each is given the WISC. The mean of the 25 scores is 104.32 anda standard deviation s = 10 . Suppose a histogram of the 25 WISC scores

Dong Lee Math-138 Professor Deshpande 10-16-16 Project Part 2 Research Proposal: Introduction: The first variables I plan to study are the hours you spend on the smartphone daily and the monthly phone bill you get. The second variable I plan to study are the mileage of the car and number of visit to auto repair shop. The quantitative variables I

$FL2@(#) IBM SPSS STATISTICS 64-bit Macintosh 21.0.0.0 ####2####################Y@08 Sep 1413:21:35 ###########################ABANY &###ABORTION IF WOMAN WANTS FOR ANY REASON ############## @######"@########################ABDEFECT####STRONG CHANCE OF SERIOUS DEFECT ############## @######"@########################ABHLTH "###WOMANS HEALTH

A survey of 100 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 70 of the 100 students responded "yes." An approximate 98% confidence interval is (0.593, 0.807). Complete parts a through d below. A)How would the confidence interval change if

This assignment is based on the case of trichloroethylene exposure in Woburn, MA. The case is the subject of an excellent book by Jonathan Harr called A Civil Action, and a so-so movie of the same name. Two of the wells in the town of Woburn were contaminated with trichloroethylene (TCE), an industrial solvent that I know some of you are familiar

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One morning, you look into your bowl of Lucky Charms cereal and count 14 marshmallows: 5 Hearts, 2 Moons, 4 Stars, and 3 Clovers: Dipping your spoon into the bowl 4 times, what is the probability that you randomly select at least 1 heart? I need a simple equation to figure this out thank you in advance

interences from two samples, this exercise has the following two task, 1 consider the three samples listed in this table: a b c 1,0,3- 3, 6,12- 5,2,6- 5,3- 2 on that table. from

The length of human pregnancies is normally distributed with a mean of 268 days and standard deviation of 15 days across the globe. a.What is the probability that a randomly drawn woman has had a pregnancy that is less than 265 days?(Round your final answer to four decimal places.

To investigate the prevalence rate of Hypertension of a certain population, we drew a random sample of 60 people from that population and among them 10 people had hypertension. For the following hypotheses, what would be your conclusion based on the information provided? The level of significance (alpha level) is 0.05. (Hint: Depending on the

Given are five observations for two variables, x and y . Xi 1 2 3 4 5 yi 3 7 5 11 14 Item 2 Develop the estimated regression equation by computing the values of b 0and b 1using equations (14.6) and (14.7) (to 1 decimal).=+ x Use the estimated regression equation to predict the value of y when x = 4 (to 1 decimal).=

SPSS Assignment Part 1 Instructions The Center for Epidemiologic Studies Depression Scale (CES-D Scale) In the Assignment Instructions folder, there is an SPSS data file that will be the basis for your analysis. The data included are fictional and were created solely for this assignment. The Center for Epidemiologic Studies Depression Scale (CES-D

Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of 47.6 ppm

A large department store has collected the following monthly data on lost sales revenue due to theft and the number of security guard hours on duty: Lost Sales Revenues Total Security Guard Hours $1,000 600 $1,400 630 $1,900 1,000 $2,000 1,200 $1,800 950 $2,100 1,300 $2,300 1,350 Determine the least squares regression equation for predicting lost

Chapter 10 Note: the following two questions use the same set of data as Problem 3 in Module 1 Assignment. (Hypothetical data) Is a persons race related to victimization? Suppose you have surveyed 30 people. You ask them: Would you describe yourself as White (w) or Non-White (n)? Would you describe yourself as Middle (m) or Working (w) Class? Have

The table below shows employment information for the Alpha Corporation: Years of Services Frequency 1-5 5 6-10 20 11-15 25 16-20 10 21-35 5 26-30 3 Use the given frequency distribution to estimate the mean years of service.

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The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted seeds will germinate. Suppose the manufacturer is correct. If 9 seeds planted with the fertilizer are randomly selected, what is the probability that at least 8 of them germinate? Carry your intermediate computations to at least four decimal places,

Traffic in Store Becauseof Ski Conditions(states of nature) Decision 1 Alternati ves(mer chandisi ng plan focusing on:) 2 3 4 Patagonia $40 92 20 48 North Face 50 84 10 52 Cloud Veil 35 80 40 64 Columbia 45 72 10 60 Probabili ties 0.2 0.25 0.3 0.25

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A multiple-choice test consists of 7 questions. Each question has answer choices of a, b, c, and d, and only one of the choices is correct. If a student randomly guesses on each question, what is the probability that she gets more than 1 of them correct? Carry your intermediate computations to at least four decimal places, and round your answer to

1. The measurements below are IQ measurements from a random sample of college students aged 20 to 25. Find a 95% confidence interval for the mean IQ, , of all college students aged 20 to 25. Assume that IQ follows a Normal distribution and that the sample standard deviation is close to . 87 70 113 77 120 112 105 104 115 82 97 128 94 107 103 89 113

The following data were analyzed using one-way analysis of variance. A B C 34 27 19 26 23 21 31 29 22 28 21 12 Which one of the following statements is correct? A. The purpose of the analysis is to determine whether the groups A, B, and C are independent. B. The purpose of the analysis is to test the hypothesis that the population means of the

Use simple exponential smoothing with = 0.33 to forecast the tire sales for February through May. Assume that the forecast for January was for 22 sets of tires. Month Automobile Battery Sales January 28 February 21 March 39 April 34

An investigation has been conducted to determine whether there is a relationship between the salary paid to a Chief Executive Officer (CEO) and the productivity of that CEO as measured by the change in profits from the time the CEO was employed. The scatterplot plots the salary paid (x) against the change in profits (y) of a sample of CEOs.

#5 A random sample of size 100 was selected from a pool of university students and they were asked whether they use Facebook on a regular base. Sixty replied yes. For the following hypotheses, what would be your conclusion based on the information provided? The level of significance (alpha level) is 0.05. (Hint: Depending on the direction of the

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Seccin 1-2 #4, 12, 24 4. Contexto de los datos: Usted reuni una muestra grande de valores. Por qu es importante entender el contexto de los datos? En los ejercicios 7 a 14, utilice el sentido comn para determinar si el acontecimiento descrito es a) imposible, b) posible, pero muy improbable, c) posible y probable. 12. Calculadoras Cuando los 25

4/17/2016 Stats 250 W16 HW 10 Closing date: 4/18/16 5:00PM Last Saved: 4/17/16 8:44PM 57142d318bea840b00fac568 Question 1 : 1 point(s) What are Expected Counts? A chi-square test involves a set of counts called \"expected counts.\" What are the expected counts? Question 1 Multiple Choice Options [X] Hypothetical counts that would occur if the null

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 3.70 minutes and the standard deviation was 0.60 minutes. a. What fraction of the calls last between 3.70

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Task 3: What are the chances? (4 marks total) A cooler has 24 Greek yogurt containers and 6 vanilla yogurt containers. The person in charge of distributing the yogurt reaches into the cooler (without looking) and randomly picks them out of the cooler. What is the probability that your friend gets a Greek yogurt and that you get a vanilla yogurt?

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Question 8 (5 points) A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. At the 0.05 significance level, test the claim that the recognition rates are the same in both states. 1. What are the appropriate hypotheses?( 1

A researcher records the levels of attraction for various fashion models among college students. He finds that mean levels of attraction are much higher than the median and the mode for these data. a.What is the shape of the distribution for the data in this study? b.What measure of central tendency is most appropriate for describing these data?

Calculate the p-value for the following conditions and determine whether or not to reject the null hypothesis. a)one-tail test, zx=1.40, and =0.05 b)one-tail test, zx=negative -2.45, and=0.02 c)two tailtest,zx=2.10, and =0.05 d)two-tail test, zx-=-1.33, and =0.01 a) The p-value is ____ (Round to four decimal places asneeded.) Since=0.05, (Reject

Explain why the sum of two squares cannot be factored as a product of two binomials. What is this called?

2: Many companies are increasingly concerned about computer security and employees using their computers for personal use. A random sample of 50 employees of Liberty Mutual Insurance Company was obtained, and each was asked whether they use the Internet for personal purposes during the day. The average of hours for the 50 employees is 0.722.

The Mean Corporation manufactures a line of unassembled furniture. Based on historical evidence, the customer service manager knows that the proportion of customers that have not had any problems with assembling the furniture at home is 0.56. Improvements have been made to the instructions provided with the furniture, and the customer service

A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of

Suppose X and Y are continuous random variables with joint pdf given by f(x, y) = 24xy if 0 < x, 0 < y, x + y < 1, and zero otherwise. (a) Are X and Y independent? Why or why not? (b) Find P[Y > 2X]. (c) Find the marginal pdf of X.

Suppose X and Y are continuous random variables with joint pdf f(x, y) = 24xy if 0 < x, 0 < y, and x + y < 1, and zero otherwise. (a) Find E(XY). (b) Find the covariance of X and Y. (c) Find the correlation coefficient of X and Y. (d) Find Cov(3X, 5Y). (e) Find Cov(X + 1, Y - 2). (f) Find Cov(X + 1, 5Y - 2). (g) Find Cov(3X + 5, X).

. A manager of a small store wanted to discourage shoplifters by putting signs around the store that said, "Shoplifting is a crime!", while at the same time making sure the signs would not reduce the number of sales. To test the effect on sales, the signs were displayed every other Wednesday for 8 weeks, and the numbers of sales for those four

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The consumer demand equation for tissues is given by q= (104p) 2 ,wherepis the price per case of tissues andqis the demand in weekly sales. (a) Determine the price elasticity of demandEwhen the price is set at$27. (Round your answer to three decimal places.) E= The demand is going (UP/ DOWN?) (?)% PER 1% increase in the price at that price level?

1. A computer help desk receives new daily customer arrivals according to the following probability distribution: # Arrivals Probability 0 0.05 1 0.2 2 0.3 3 0.2 4 0.15 5 0.1 Random # 01-05 06-25 26-55 56-75 76-90 91-00 The number of customers that the help desk has the capability to serve per day is based on the following probability

Some researchers claim that herbal supplements such as ginseng or ginkgo biloba enhance human memory. To test this claim, a researcher selects a sample of n = 25 college students. Each student is given a ginkgo biloba supplement daily for six weeks and then all the participants are given a standardized memory test. For the population, scores on

The following sample observations were randomly selected.(Round your answers to 2 decimal places.) X: 4 5 3 6 10 Y: 9.8 12.6 8 14.4 19.6 a. The regression equation is

Consider the following linear program: MIN 6x 1 + 9x 2 ($ cost) s.t. x 1 + 2x 2 8 10x 1 + 7.5x 2 30 x 2 2 x 1 , x 2 0 The Management Scientist provided the following solution output: OPTIMAL SOLUTION Objective Function Value = 27.000 Variable Value Reduced Cost X1 1.500 0.000 X2 2.000 0.000 Constraint Slack/Surplus Dual Price 1 2.500 0.000 2 0.000

Shift Cost 8 a.m. to 6 p.m. 500 6 p.m. to 4 a.m. 550 4 a.m. to 2 p.m. 600 Requirements of mechanics for 6-hour blocks Day 8 a.m. to 2 p.m. 2 p.m. to 6 p.m. 6 p.m. to 4 a.m. Monday 7 6 4 Tuesday 7 6 4 Wednesday 7 6 4 Thursday 7 6 4 Friday 7 5 3 Saturday 4 3 3 Sunday 4 3 3 4 a.m. to 8 a.m. 5 4 4 4 3 3 3

A previous medical study claims that the average cholesterol level of people who have had a stroke is 240. A new study samples 50 people who have had strokes, and finds the the average cholesterol level was 250 with a standard deviation of 60. When testing the hypothesis (at the 5% level of significance) that the average cholesterol level of

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4 Use three decimal places in all of your calculations and answers for this problem. Calculate the control limits for a c chart when U bar = 3.0%, n = 60, and you collect one sample per hour for 40 hours of production. Provide the values and equations for c-bar and the c chart control limits. Problem 5 Use three decimal places in all of your

ductory Statistics Third Edition Perdisco Assessment Below is a set of assessable homework questions on this topic, selected by your professor. Take care! Do not submit your answers until you have read all the instructions and answered the questions carefully. When you submit your answers, you will receive immediate feedback. Navigating this page:

1. (a) What is an assignment problem? Briefly discuss the decision variables, the objective function and constraint requirements in an assignment problem. Give a real world example of the assignment problem. (b) What is a diet problem? Briefly discuss the objective function and constraint requirements in a diet problem. Give a real world example

A student scored 82 points on a test where the mean score was 79 and the standard deviation was 6. What was the student's z-score?

Association: We know association does not imply causation, but what does this mean in your own words. Provide and discuss an example of two variables that are associated but not by a cause and effect relationship in 3-4 paragraphs

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Question 4. A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. a) Use a 90% confidence interval to estimate the true proportion of students

I have 30 or less problems in random chapters I need answered. Its all in mymathlab. I have to have all 10 chapters completed by Monday 12/05 and these are the only ones I haven't finished or cant figure it out. Anyone willing to help me finish these homework questions? No work needs to be shown just answer input. I will increase payment

find both the biggest and smallest values that the function f (x, y) achieves within the region R. f(x,y) = 3x+3y; R is the set of points (x,y) such that both x2 +y2 100 and y 0.

Tables and Figures Module XXIII-B Slide 1 No Comments Slide 2 After collecting and analyzing the data from our research study, we are faced with the need to turn data into information, that is, we want to interpret our findings back into the context of the original content area, in such a way that it answers the purpose or question of the research

Show that the set V = {(x,y,z) | x,y,z inRand x+y = 11} is not a subspace ofR 3

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suppose that 15% of the families in a certain community have no children 20% have 1 children 35% have 2 children and 30% have 3 children.suppose further that each child is equally likely to be a boy or a girl.if a family is randomly selected from this community.what will be the joint probability mass function? and construct joint probability

Determine the sample size n needed to construct a 99%confidence interval to estimate the population mean for the following margins of error when =74. a) 25 b) 40 c) 50 a) n=_____ ?(Round up to the nearestinteger.) b) n=______ ?(Round up to the nearestinteger.) c) n=_______? (Round up to the nearestinteger.)

YEAR AGE 1971 1979 1976 1986 1969 1983 1975 1982 1963 1970 1981 1987 1982 1975 1972 1984 1971 1990 1991 1978 1969 1978 1991 1962 1986 Height 45 37 40 30 47 33 41 34 53 46 35 29 34 41 44 32 45 26 25 38 47 38 25 54 30 65 62 62.5 64.5 65 75 71.75 66 67 62.4 72.05 68 64 64 65 55 62 67 52.75 65 66.5 62.5 67 62 Foot 9.375 8 8.75 9.3 9.8125 12 4 9.69 10

Above states for section b Classical, empirical, randomness, uniformity, inference. Above states numbers and they are for both 0.5 +0.2, 0.5 + 0.3, 0.5 - 0.2, 0.3 + 0.2, 1.0 - 0.2. They are both a and b. Above states B) is asking joint, complement, exclusive C) sometimes, no, yes They all state continuous or discrete

A study of the career paths of hotel general managers sent questionnaires to an SRS of150hotels belonging to major U.S. hotel chains. There were112responses. The average time these112general managers had spent with their current company was10.8years. Give a 99% confidence interval for the mean number of years general managers of major-chain hotels

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Given the following hypothesis: H 0 : 10 H 1 : > 10 For a random sample of 10 observations, the sample mean was 12 and the sample standard deviation 3.00. Using the 0.050 significance level: (a) State the decision rule. (Round your answer to 3 decimal places.) Reject H 0 if t > (b) Compute the value of the test statistic. (Negative value should be

Please answer the following questions and add a reference to the question: Q1: You own a Pepsi bottling plant, and you are concerned about filling the bottles to the correct level. Should you conduct a one-tailed or two-tailed hypothesis test? Explain. For the next set of questions I will provide the original question then the answers from my

A social researcher wants to test the hypothesis that college students may experience different levels of happiness depending on how much they are text messaging. She surveyed students about the frequency of their texting and their happiness. Among 10 heavy texters, she found an average happiness score of 3.8 with a variance of 2.4, whereas the

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