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Mathematics Questions and Answers February 28, 2023

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Use the Mean Value Theorem to show that 57/8 < sqrt(51) < 50/7 you may wish to consider the function f : R+ {0} R+ {0},f(x) = sqrt(x)

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1)The most important output of the linear regression algorithm for predictive purposes a) is the value of R(squared) b)are the values of the independent variable coefficients c)is the set of residuals d)is the distribution of the values of the dependent variable 2) In linear multiple regression the criterion for goodness of fit is______________ a)

Fundamentals of Biostatistics Suppose there are two samples of size 6 and 7, with a rank sum of 58 in the sample of size 6. Using the Wilcoxon rank-sum test, evaluate the significance of the results, as- suming there are no ties.

\fEmployee 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Average Length of Calls (Minutes) 2.2 5.5 5.2 3.1 4.3 1.6 5.6 3.4 4.8 2.5 1.2 2.3 3.7 4.4 3.4 2.2 3.1 4.6 5.9 4.7 5.3 5.6 3.7 2.9 1.7 1.9 2.2 3.6 4.3 5.1 Sales 50 43 59 46 46 62 37 52 41 54 66 61 58 54 60 62 58 50 34 40 45 47 45 50 64 61 56 47 51 35

PSYC 355 LAB PROJECT PHASE 3: SPSS OUTPUT INSTRUCTIONS After completing Phase 2 of the Lab Project, you now have 2 important variables in relation to your research question: a score representing understanding of Christian doctrine, and a variable representing amount of church attendance. It is time for you to decide how to analyze the data! Think

STAT 200 Spring 2016 Page 1 of 7 Record your answers and work. Problem Number Solution State the null hypothesis for: a. An experiment testing whether echinacea decreases the length of colds. b. A correlational study on the relationship between brain size and intelligence. c. An investigation of whether a self-proclaimed psychic can predict the

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Problem 1 Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 35.5 and standard deviation of 3.0 , while the second sample has a mean of 33.0 and standard deviation of 4.0. The pooled ( i.e. combined ) variance is___________. The computed t

A random sample of 212 marketing students was asked to rate, on a scale from 1 (not important) to 5 (extremely important), health benefits as a job characteristic. The sample mean rating was 3.3, and the sample standard deviation was 1.25. Test at the 5% significance level the null hypothesis that the population mean rating is at most 3 against

What is a derivative? Answer in detail. Give examples please.

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Recent revenue shortfalls in a southern state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 20% tuition increase. It was determined that such a large increase was needed to simply compensate for lost support from the state. Random samples of 100 freshmen, 100

A random sample of 800 undergraduates enrolled in management ethics courses was asked to respond on a scale from 1 (strongly disagree) to 7 (strongly agree) to the proposition that senior corporate executives are interested in social justice. The sample mean response was 4.1, and the sample standard deviation was 1.75. Test at the 1% significance

if mouse weights are normally distributed with a mean weight of 23 and SD of 4. With 10 mice per box, what weight should they use so that no more than 8% of the boxes will have an average mouse weight below that weight

Workers in Fredonia can produce either 20 gallons of wine per day or 50 pounds of cloth per day. Let x = gallons of wine produced per day and y = pounds of cloth produced per day. If there are 1000 workers, what straight line (together with the x and y axes) delineates the boundary of the combinations of wine and cloth that can be produced if the

A research firm conducted a survey to determine the mean amount steady smokers spend on cigarettes during a week. A sample of 64 smokers revealed that = $20 and S = $5. What is the 95% confidence interval for ? 18.16 to 21.84 $18.78 to $21.23 $18.60 to $21.40 18.37 to 21.63

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What do college students do with their time? A survey of 3,000 traditional-age students was taken, with the results as follows: 9 Activity Percentage Socializing, recreation, other 51% Sleeping 24% Attending class/lab 9% Working, volunteering, student clubs 9% Studying 7% a. Construct a bar chart, a pie chart, and a Pareto chart. b. Which

QUESTION 1 In multiple regression there is more than one independent variable. True False 1 points QUESTION 2 In multiple regression there is more than one dependent variable. True False 1 points QUESTION 3 In multiple regression multicolinearity is a potential problem. True False 1 points QUESTION 4 In multiple regression the value of R square

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Calculate the rent of a decreasing annuity at 6% interest compound quarterly with payments made every quarter-year for 8 years and present value $120,000

The Presidential race is in progress. The Republican side is undecided. The republicans are arguing who is the best choice. 200 Republicans were randomly selected to determine if they liked Trump, Cruz, Kaisek, or Rubio. 103 chose Trump, 52 chose Cruz, 30 chose Kaisek, and 15 chose Rubio. Use chi square and test at the .05 level of significance.

If x is a binomial random variable where n = 100 and p = 0.1, find the probability that x is greater than or equal to 8 using the normal approximation to the binomial

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Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting a fence across its middle. If each lot is to contain1200square feet,what is the minimum amount of fence needed to enclose the lots (include the fence across the middle)?

What is the difference between descriptive and inferential statistics?

What is the probability of an event that is certain to NOT occur?

The length of a rectangle is the width minus 2 units. The area of the rectangle is 8 units. What is the length, in units, of the rectangle?

Name: Lab 5: Chapter 6 READ THIS: In the material for the first exam, you learned about the difference between a population and a sample. There is a parameter for the whole population (for example the average age for all U.S. residents), but it would be too difficult, time-consuming, and expensive for us to get the number directly through a

1. Which of the following is more likely to lead to a significant result (mark/highlight correct answer)? a. Smaller sample sizes b. Larger sample sizes 2. If the treatment effect is small (e.g. the difference in means is small between the treatment group and control group), then larger sample sizes will more likely lead to this difference being:

If the base value is 100 and the current period value is 250, what is the index for the current period?

1. In a basket there are 6 red marbles and 4 blue marbles. What is the probability of drawing a red marble--P(R)? 2. In a basket there are 6 red marbles and 4 blue marbles. Given that you have selected a red marble and have placed it in the basket, what is the probability of drawing a red marble---P(R) ? 3. In a basket there are 6 red marbles and

A researcher collects data on the relationship between length of commute and stress level. The dare are as follows: commute(min) stress (1-10 scale) 24.00 3.00 71.00 9.00 55.00 5.00 34.00 4.00 11.00 3.00 80.00 7.00 50.00 4.00 33.00 2.00 27.00 2.00 20.00 3.00 30.00 3.00 31.00 6.00 50.00 8.00 66.00 8.00 22.00 1.00 38.00 4.00 56.00 7.00 41.00 5.00

Restaurant Problem I have recently started five fast food restaurants throughout Texas. My concern is that my stores are taking too long to process orders in the drive-through, so I've instructed the store managers to collect drive-through order processing times for a two hour period during the day. These data are shown below (values are in

An article in the Wall Street Journal (14 Aug 2008) discussed a medical study carried out by the Boston Scientific Corp. (BSC) on a new heart stent called the Liberte that BSC wanted to introduce in the U.S. market. In the study, the company tested the Liberte on a random sample of 871 heart patients, 70 of whom suffered re-clogging in their

he ordered pair (3,0) is found: (a) on the y-axis. (b) in the first quadrant. (c) in the four quadrant. (d) on the x-axis. (e) at the origin

Question 2: Many manufacturers have quality control programs that includeinspection of incoming materials for defects. Suppose that a computermanufacturer receives computer boards in lots of five. Two boards are randomlyselected without replacement from each lot for inspection. We canrepresent possible outcomes of the selection process by pairs.

For each of the following, indicate whether the data is measured on a nominal (N), ordinal (O), interval (I), or ratio (R) scale. I a) Fahrenheit temperatures of classrooms R b) Number of siblings each student has registered in the same school I c) students paid tuition O d) students age N e) students class: {Pre-K, K, grade1, grade2, grade3} f)

The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of eleven motors was tested, and it was found that the mean current was x = 1.28 A, with a sample standard deviation of s = 0.50 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a

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1. An investigator wants to determine if a new program aimed at reducing the overall number of pregnancies in a highly populated area is effective (reducing average births below 6 per household). In order to carry out the investigation, the investigator conducts a SRS of 189 participants in the program and finds the average number of births is 4.7

Calculus 2 -- Test #2 -- SAMPLE Nrune_ _ _ _ _ _ _ _ _ _ _ _ _ ___ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the volume of the described solid. 1) The solid lies between planes perpendicular to the x-axis at x = -3 and x = 3. The cross sections perpendicular to the x-axis between

An urn contains 9white balls and 10yellow balls. If Tim chooses 9balls at random from the urn, what is theprobabilitythat he will select 5white balls and 3yellow balls? Round your answer to 3decimal places.

A few years ago a total of 2693 thousand people lived in the metropolitan areas of Las Vegas, Nevada, and Sacramento, California. Sacramento had 283 thousand more residents than Las Vegas. What was the population of each metropolitan area? What was the population of the Sacramentoarea? ____ thousand What was the population of the Las Vegasarea?

1) In a multiple regression analysis involving 25 data points and 4 independent variables, the sum-of-squares terms are calculated as SSR = 120, SSE = 80, and SST = 200. In testing the overall significance of the regression equation, the calculated value of the test statistic will be 2) Computer analyses typically provide a p-Value for each

Is there a Six Sigma Black Belt tutor to help me witha case study?

2.1 Marginal and conditional probability The social mobility data from Sec tion 2.5 gives a joint probability distribution on (Y1, Y2) (fathers oc cupation, sons occupation). Using this joint distribution, calculate the following distributions a) the marginal probability distribution of a fathers occupation b) the marginal probability distribution
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The engine in Paul's weed whacker uses an oil-gas mixture. The owner's manual recommends mixing the oil and gasoline together, using the size of the oil container to guide how much of each to use. It states to use 1/8 part oil with 4 parts gasoline. Paul buys a 32-ounce container of oil. How large of a container will he need to hold the mixture if

Recall from previous cases that an automaker has recently introduced a new midsize model and that we have used the sample of 50 mileages to estimate that the population of mileages of all cars of this type is normally distributed with a mean mileage equal to 31.56 mpg and a standard deviation equal to .798 mpg. Suppose that a competing automaker

calculate the weight of sugar placed in in five packets if the each of them have a mass of 5 Kg

Thank you for your help. Please let me know if you need anything further from me?

To report the results of a t-test, which of the following is not reported? a. the test statistic b the p value c. the degrees of freedom d. the critical values

A researcher is trying to discover the average age at death for people in the United States today. To obtain data, the obituary columns of The New York Times are read for 30 days, and the ages at death of people in the United States are noted. Do you think this approach will lead to a representative sample?

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6481_9-16 6481_9-16 Which of the following is a question of internal validity in experimental research? A. How widely can the results of the experiment be generalized? B. Was the sample representative of the population? C. Has maturation influenced the dependent variable? D. Did the instruments permit valid interpretations?

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Assignment 2 1. A firm faces the demand curve P = 8 - 0.5Q and the total cost function

Provide an example of discreteand continuous random variables.

A nuclear power company is deciding whether to build a nuclear power plant at Diablo Canyon or at Roy Rogers City. The cost of building the power plant is $10million at Diablo and $20 million at Roy Rogers City. If the company builds at Diablo, however, and an earthquake occurs at Diablo during the next five years, construction will be terminated

1. Convert the angle 6138'45" to decimal degrees and round to the nearest hundredth of a degree. 2. a. b. c. d. Convert 61.13 to degrees, minutes, and seconds. a. b. c. d. 3. 61.66 61.61 61.71 61.65 617'48" 617'13" 617'36" 617'54" Convert 36 from degrees to radians. a. 7 b. 6 c. 4 d. 5 4. Convert the radian measure to degree measure. Use the value

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3-7. Klein Industries manufactures three types of portableair compressors: small, medium, and large, which haveunit profits of $20.50, $34.00, and $42.00, respectively.The projected monthly sales are: Small Medium Large Minimum 14,000 6,200 2,600 Maximum 21,000 12,500 4,200 The production process consists of three primary activities: bending and

iPad "v" 7:11 PM 71%3 webwork.uprm.edu "' Quizz VII: Problem 15 i (1 point) How far from A should the point P be chosen so as to maximize the angle 6? B 2 .1 PI/ lg A 5 2.4777 Preview My Answers Submit Answers You have attempted this problem 17 times. Your overall recorded score is 0%. You have unlimited attempts remaining. Email instructor Page

Part one :Identify the following( Just state them) Independent and dependent variables Population of interest Study sample Data-gathering instruments Brief Critical Analysis Summary Major findings and conclusions: Provide a brief (200 words) critical review of the article or study based on your responses to the questions in the worksheet. In your

A citrus farmer has observed the following distribution for the number of oranges per tree. Oranges 25 30 35 40 Probability .10 .40 .30 .20 If you were to calculate the mean (expected value) of oranges per tree, what is the correct calculation? A.25 ( 0.10 ) + 30 ( 0.40 ) + 35 ( 0.30 ) + 40 ( 0.20 ) 25(0.10)+30(0.40)+35(0.30)+40(0.20) B. .10 + .40

Chapter 08, Testbank, Question 017 The mean federal income tax paid last year by a random sample of 44 persons selected from a city was 4306. Suppose the standard deviation of tax paid in this city is = 804. The 95% confidence interval for the population mean (rounded to two decimal places) is: The lower limit is $ The upper limit is $

3. A clinical psychologist is interested in the relationship between testosterone level in married males and the quality of their marital relationship. A study is conducted in which the testosterone levels of eight married men are measured. The eight men also fill out a standardized questionnaire assessing quality of marital relationships. The

The producers of a new toothpaste claim that it prevents more cavities than otehr brands. A random sample of 60 people used this toothpaste for 6 months. The mean number of cavities at their next checkup is 1.5. In the egneral population, the mean number of cavities at a 6 month check-up is 71.73 (Standard deviation for population= 1.12). a) Is

Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean m = 21.1 kilograms and standard deviation s = 3.7 kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval. (Choose the closest value.) 3.1 < z A) x < 9.63 B) x < 9.63

http://www.gallup.com/poll/189542/new-rule-small-businesses-adopt-chip-technology.aspx?g_source=&g_medium=& This poll discusses and analyzes the effect of women having full-time jobs and their life rating. According to the poll, 19% of women and 33% of men are full-time employed for an employer. . According to the information gathered, women are

What is the domain of g/f, given the functions below? f(x)=2x^2+7x+6 g(x)= 3x-2 Please show all work

The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.2 and 5.6, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use = .10.

1 Computer Assignment 2 Psychology 541 Advanced Univariate Statistics Fall 2016 sec 02 20 points-TURN ALL ANSWERS NEED TO BE TYPED This assignment is due on Saturday 10/15/16 in Blackboard by 11:00 AM. 1. A political candidate wishes to determine if endorsing increased social spending is likely to affect her standing in the polls. She has access

Raul borrowed 9,500 on 240-day note that required ordinary interest at 14.38 . Raul paid 4,750 on the note on the 200th day . How much interest did he save by making partial payment ? The interest save is $ Round to the nearest cents as needed

A food processing company markets a soft cheese spread that is sold in a plastic container with an easy pour spout. Although this spout works extremely well and is popular with consumers, it is expensive to produce. Because of the spout's high cost, the company has developed a new, less expensive spout. While the new, cheaper spout may alienate

The proportion of defective computers built by Byte Computer Corporation is 0.15. In an attempt to lower the defective rate, the owner ordered some changes made in the assembly process. After the changes were put into effect, a simple random sample of 42 computers was tested revealing a total of 4 defective computers. Perform the appropriate test

1. Calculate confidence intervals around the P and Q percentages using the following sample data: a. P = 75% , Q = 25% n= 678 @ 95% level of confidence b. P = 75%, Q = 25% n= 35 @ 95% level of confidence c. P = 52%, Q = 48% n= 678 @ 99% level of confidence 2. A dog breeder specializes in golden retrievers. The local police department suspects that

Meyran (1997) examined body size in the freshwater crustacean Gammarus fossarum from alpine rivers near Grenoble, France. These rivers differed in calcium concentration, which Meyran thought might affect growth in these crustaceans. Below I have provided data on body length (in millimeters) of Gammarus from three of these rivers, code-named B3,

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

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The following are body mass index (BMI) scores measured in 12 patients who are free of diabetes and participating in a study of risk factors for obesity. Body mass index is measured as the ration of weight in kilograms to height in meters squared. Generate a 95% confidence interval estimate of the true BMI. 25 27 31 33 26 28 38 41 24 32 35 40

The ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41, and 22. What is the population standard deviation? 10.33 6.92 9.26 15.85

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Develop a Monte Carlo simulation model for the garage-band in Problem 7 in Chapter 11 with the following assumptions. The expected crowd is normally distributed with mean of 3,000 and standard deviation 400 (truncate the distribution to have a minimum of 0). The average expenditure on concessions is also normally distributed with mean $15,

An interior designer makes a presentation to potential clients and this results in sales of her services in 35% of the cases. Let X denote the number of sales in the next four presentations. Assuming the results for different clients are independent, calculate the probabilities f(x) = P [X= x] for x= 0,1,...4 and find a. P[X < 3] b. P[X > 3] c.

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HELP MyPie Review Dictionary Calculator Assignments WORKSHEET Book Navigate questions by number 1 3 4 5 6 7 8 9 10 16 2 17 18 19 20 21 22 23 24 25 Submit Test 11 12 13 14 15 Total time remaining: 5:33 Question #17 / 25 Use the calculator provided to solve the following problems. Consider a t distribution with degrees of freedom. Compute answer to

What are some experiments that you want to use a lower alpha level of 0.01?

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A veterinary researcher takes an SRS of 60 horses presenting with colic. The average age of the 60 horses with colic is 12 years. The average age of horses seen at the veterinary clinic was determined to be 10 years. The researcher concludes that horses with colic are older. The value 10 years is a: a) sample mean b) sample variance c) sample

the half-life of aspirin in the bloodstream is 12 hours. How long will it take for the aspirin to decay to 70% of the original dosage? *use exponential decay formula to solve

The cold medicine Dozenol lists 600 mg of acetaminophen per fluid ounce as an active ingredient. The Food and Drug Administration would like to make sure that Dozenol contains the correct amount. Assume that the amount of acetaminophen per fluid ounce is normally distributed with standard deviation 21 mg. They test 65 one-ounce samples of the

MATH 485 T EST 2 Due May 9th, 2016 Your Name: I certify that the work on this test is mine and mine alone (please sign): Directions: You get one point for signing the certi...cation above. Then do two of the three problems below. Note that you must do the problem completely and may not do parts of all three. Score: 1. 2. Signed Certi...cation

Suppose that a data-generating process is a normal process with unknown mean and with known variance 225. A sample of size 9 is taken from this process with the sample results: 42,56, 68, 56, 48, 36, 45, 71, 64. Suppose your prior judgements about can be represented by a normal distribution with mean 50 and variance 14. (a) What is your posterior

Use Pythagorean theorem to find the missing side. c=19 b=2a find a and b

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