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Mathematics Questions and Answers February 28, 2023

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In multiple regression, multiple regression predictorsslopescoefficientsvalues replace the slope

in a case-control study of computer display exposure and glaucoma, cases and controls were also asked about television viewing habits. Which of the following methods for adjusting for confounding by age is most likely to affect the generalizability of the study findings to the population-at-large? Select one: a. Randomization b. Restriction of

If 36% of the variation in blood pressure is explained by variable Y, what was the correlation coefficient (r value) for blood pressure and variable Y? 36 1,296 -3 6

The time (in number of days) until maturity of a certain variety of tomato plant is Normally distributed with a mean u and a standard deviation 2.4. I select a simple random sample of four plants of this variety and measure the time until maturity. The sample yields x=65. A 95% confidence interval for u, in days is?

The dataset, acath.csv, contains real-world data regarding cardiac catheterization procedures. If you are unfamiliar with this procedure, it is used to diagnose and treat heart problems. A long, thin tube is inserted into an artery in your groin, neck, or arm and threaded to your heart. Variables in the dataset are defined below. Name Labels

Grading Rubric for Case Study Assignments Criteria Good 20 Fair 15 Unacceptable 0 Score Substance 25% of grade Answers are meaningful and reflect insight and careful analysis of the issues posed; contains rich and fully developed ideas which are extremely well written and presented. Answers are meaningful and reflect insight and analysis of the

Gender Age 1 2 1 1 1 2 2 1 1 2 2 2 2 2 1 1 1 2 2 1 1 1 2 1 2 2 1 2 2 2 1 2 1 1 1 1 2 2 1 2 1 1 2 2 2 2 1 1 2 2 College 29 32 39 25 27 33 36 28 34 32 31 38 27 29 26 39 40 37 37 29 29 30 36 30 30 35 27 31 38 38 34 28 29 32 35 35 37 29 40 27 27 34 34 25 25 29 30 30 35 34 Caffeine 1 4 1 2 1 3 3 3 3 2 1 1 3 4 4 4 1 2 3 3 3 2 3 3 2 4 3 2 1 3 2 3 2 4 2 3

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Please show the work that led you to the answer! Thanks! Draw 3 cards from a standard deck of 52 playing cards. 1. What is the probability all 3 have the same face value? 2. Probability all have the same shape? 3. Probability of one ace and two other diamonds? 4. Probability of one king and at least two clubs? 5. Probability of two clubs and one

Monte Carlo Simulation Problem: Suppose an employee starts working after completing her MBA at age 30 at a starting salary of $50,000. She expects an annual salary increase to be at minimum 1%, at maximum 5%, with a uniform distribution. Her retirement plan requires that she contribute 8% of her salary, and her employer matches that by adding an

Toss the coin four times. If the coin lands either all heads or all tails, reject Ho: p=1/2 (the p denotes the chance for the coin to land on heads.) Complete parts a and b. a. what is the probability of a type 1 error for this procedure? b. if p=4/5, what is the probability of a type II error for this procedure? p.s. please show steps to finding

NUC-490 Written Assignment 4 (Module 5) Page 1 of 9 Student Name: Module 5 - Assignment Exercises The following 10 exercises build upon your previous education and training, and the Summary Examples you studied from this Module. These exercises will challenge you to put all those elements together. Instructions: Attempt all 10 exercises. Make sure

Portfolio Manager Stocks 0.1 Profolio Profit Percentage: Resources: Objective Maximized Profits Bonds 0.04 CD 0.01 1 0.06 --1 ------ 1 -0.02 --1 ---1 1 --0.01 --1 -1 -- 1 ------1 1 -- Investments Total Investments VaR percentage on Stocks VaR percentage on Real Estate VaR percentage on Bonds Stocks minimum holding Real Estate minimum holding Bond

What is the correct answer to - A company tracks the level of sales at retail outlets weekly for 36 weeks. During the first 12 weeks, a fixed level of advertising was used each week to draw in customers. During the second 12 weeks, the level of advertising changed. During the last 12 weeks, a third level of advertising was used. What does the SRM

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 2 percentage points with 95% confidence if (a) he uses a previous estimate of 26%? (b) he does not use any prior estimates? (a) n= (b) n=

1-3 Milestone One: Six Sigma Problem Statement Choose a process at an organization of your choice (for example, your workplace) that you think needs improvement. The process could be a purchasing process, an employee recruitment process, a manufacturing process, a design process, or any other process of your interest. In two or three pages, write

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Referring to the contingency table in Problem 4.8, if an employed adult is selected at random, what is the probability that Table 4.8 Felt Tense or stress out at work Yes No Male 244 495 739 Female 282 480 762 526 975 1501 a. The employed adult felt tense or stressed out at work? b. The employed adult was a male who felt tense or stressed out at

This problem considers social security numbers, which is a sequence of 9 digits, such as 008583790. (a). How many different social security numbers are there? (b). How many dierent social security numbers are there, in which the digit 8 appears exactly twice (such as 008583790)? (c). How many dierent social security numbers have no digit appearing

PSYC 355 SPSS HOMEWORK 8 INSTRUCTIONS NONPARAMETRIC TESTS Part 1: 1. Green & Salkind: Lesson 42, Exercises 1, 3-4 The following helpful tips are numbered to correspond with the exercise number to which they refer (a dash indicates that no tips are needed): 1. This research scenario will be familiar to you. Do letters a, b, and c, answering the

The average salary was reported as $43,000 as the null was not rejected. However, the average salary is actually $41,000. What error was made? Choices: No error was made The null was not rejected when the null was true Type I error The null was not rejected when the null was false

a 5 question, multiple choice quiz has 4 answer choices for each question (only 1 answer choice is correct for each question). if you randomly guess at each question, what is the probability of answering at least 4 question incorrectly? A. 0.016 B. 0.015 C. 0.396 D. 0.633

The two data sets are dependent. Findd-barto the nearest tenth. A 69 66 61 63 51 B 25 23 20 25 22 Select one: a. 50.7b. 48.8c. 39.0d. 23.4

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A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a black card. A) 7/13 B) 15/26 C) 29/52 D) 4/13

On average 4 people per flight do no shown up for the 7:30 a.m Chicago to Denver flight on SkyBlue airlines. What is the probability that exactly 7 people do not show up for the next flight?

A study of two types of weed killers was done on two identical weed plots. One weed killer killed 15% more weeds than the other. The difference was significant at the 0.05 level. What does this mean?

the intersection of two mutually exclusive events is called what?

Give two examples as follows: A research situation when you would use a two-sample test with independent samples A research situation when you would use a two-sample test with dependent samples Explain why you would choose the specific test. Define the null hypothesis and the alternate hypothesis for the two research situations you developed.

19. Given the following Linear Programming: MAX 34.5 X + 13.2 Y s.t. X 5 .......... (1) 3 X - 2 Y 6 .......... (2) Y 3 .......... (3) X 1 .......... (4) X, Y 0 There are four constraints. Using the graphical method, how many corners are there in the feasible region? Keep your written work. Select one: a. There are four corners in the feasible

An employment agency specializing in temporary construction help pays heavy equipment operators $ 129 per day and general laborers $ 89 per day. If thirty-four people were hired and the payroll was $ 3826, how many heavy equipment operators were employed? How many laborers?

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is: A. 6.06% B. 6.07% C. 6.08% D. 6.09%

To solve by completing the square, what value should you add to each side of the equation x^2+16x=-1

FIND THE SLOPE INTERCEPT EQUATION OF THE LINE THAT HAS THE GIVEN CHAARACTERISTICS SLOPE 0 AND Y- INTERCEPT (0,2) THE EQUATION IS Y=

Determine if there is a significant impact from the speed ot the machine and the air pressure used in it over the output rare of units per minute. Use alpha of 5%. Speed Pressu re 122 10 3 13 1 127 12 7 141 10 1 117 12 2 123 + + 144 - - 10 3 1. The determine impact speed 2. Determine the impact the pressure 3. Determine the impact of the

If computing a causal linear regression model of Y = a + bX and the resultant r2 is very near zero, then one would be able to conclude that Y = a + bX is a good forecasting method. 1. None of the alternatives are correct. Y = a + bX is not a good forecasting method. a multiple linear regression model is not a good forecasting method for the data.

The following data on calcium content of wheat are consistent with summary quantities that appeared in the article Mineral Contents of Cereal Grains as Affected by Storage and Insect Infestation (Journal of Stored Products Research [1992]). Four different storage times were considered. Is there sufficient evidence to conclude that the mean calcium

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A random variableXis exponentially distributed with a mean of 0.20. a-1. What is the rate parameter?(Round your answer to 3 decimal places.) Rate parameter a-2. What is the standard deviation ofX?(Round your answer to 3 decimal places.) Standard deviationX b. ComputeP(X> 0.32).(Round intermediate calculations to 4 decimal places and final answer

How do I write the hypothesis for the following "An advertisement claims that chewing NoCav gum reduces cavities. To test the claim, you conduct a study in which participants who chew the gum are compared to the national average of 3 cavities found per year

STAT 210: PROBLEM SET 5 VERSION A (CAN BE DISCUSSED IN OFFICE HOURS) DUE: 10-20 1. The probability distribution of random variable X is given below: x 2 P(x) 0.9 What is 2X (rounded to four decimal places)? 4 0.1 2. The probability distribution of random variable X is given below: x 2 4 P(x) 0.9 0.1 A second random variable is defined as follows:

An experiment consists of rolling a special 22-sided die. All numbers, 1 through 22, are equally likely. Find the probability of each of the following events. (i) A=rolling a number greater than 10 and even, (ii) B= rolling at most an 11, (iii) C= rolling exactly a 2 or 5.

A data set includes 109 body temperatures of healthy humans for which x- bar =98.2F and s= 0.62F. Complete parts a and b below. A. What is the best point estimate of the mean body temperature of all healthy humans? B. Using the sample statistics, construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. Do

WRITE AN EQUATION FOR THE LINE PASING THROUGH THE GIVEN POINT AND HAVING THE GIVEN SLOPE (8,2), M=1 THE EQUATION OF THE LINE IS

The mean length of a small counter balance bar is 43 millimeters. There is concern that the adjustments of the machine producing the bars have changed. Test the claim at the 0.02 level that there has been no change in the mean length. The alternate hypothesis is that there has been a change. Twelve bars (n = 12) were selected at random and their

Microsoft Word - Assignment 4 Part 2_V2 The inorganic mercury content in a single cigarette of a particular brand is a random variable with mean 25 ng and a population standard deviation of 12 ng. A random sample of n = 100 cigarettes is taken for analysis. a) (2 points) What is the approximate distribution of the sample mean

Review the following article onalcohol consumption among first-time mothersand identify the purpose, research question, and hypothesis of the study.http://www.sciencedirect.com.ezproxy.snhu.edu/science/article/pii/S1047279715004160

If 25 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win both prizes if that person buys exactly 2 tickets.

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The weights(in pounds) of 6 vehicles and the variability of their braking distances(in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a drysurface? Use=0.01 Weight, x 5930 5310 6500 5100 5820 4800 Variability

1 The service time at an automobile center has a Lognormal distribution with parameters =1.0 and mean of 3.4. (a) (b) (c) (d) (e) What is the probability that a customer will have to wait for more than 4.69 hours? What is the probability that at least 8 of the next 10 customers will have to wait for more than 4.69 hours? What is the expected

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Use the binomial probability distribution to answer the following questions. Researchers conducted a study to determine whether there were significant differences in graduation rates between medical students admitted through special programs (such as affirmative action) and medical students admitted through the regular admissions criteria. It was

When using the t table (Table C) to find t values,of the degrees of freedom are not in the table, what degrees of freedom should be used?

Ruda, I need help with my Devry MATH221 Week 7 quiz and Week 8 final. Thank you

An equation is shown below: 2(4x 1) 7 = 5 Which statement shows a correct next step in solving the equation? The equation can become 2(4x 1) = 2 by applying the distributive property. The equation can become 2(4x 1) = 12 by applying the addition property of equality. The equation can become 2(4x 1) = 12 by applying the commutative property of

338 Chapter 9 | Compound Interest CASE 9a Investing for the Future Martin, a 45-year-old shoe salesman, decided that it was time he started saving for retirement. He had money in his chequing account that was earning 1% compounded annually, and he decided to transfer this amount into an RRSP that invested in the bond market. The manager at his

Suppose in the past Above & Beyond, an EDM group, has experienced mean sales, , of 10,000 tickets and a standard deviation, , of 550 tickets during their New Years Eve concert. A ticket promoter wants to know the probability that the demand this year will be between 8,500 and 10,650 tickets.

From experience, an airline knows that only 80% of the passengers booked for a certain flight actually show up. If 7 passengers are randomly selected, find the probability that more than 4 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.

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Use the data from the following table to answer Questions 40 - 42 Based on data from the same table, if the proportion of smokers in the general population is 30%, what is the attributable proportion of breast cancer due to smoking in the general population?

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A fair die is rolled 6times. What is theprobabilityof having no 3and no 6among the rolls? Round your answer to three decimal places. (If necessary, consult alist of formulas.)

The mean incubation time for a type of fertilized egg kept at 100.5 F is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. a) The probability that a randomly selected fertilized egg hatches in less than 21 days is? round to four decimal places as needed b) The probability that a

You are to choose a mathematician of your choice and write a short (one-page) report that gives a brief overview of the mathematician's life (when and where he/she lived) and the major mathematical contributions made by the mathematician. If he/she proved an important theorem or fact, then that should be in the report. Also, add any facts of

Find the value of z/2 that corresponds to a confidence level of 91%.

1 A - Please indicate the sampling design and data collection tool(s) used in the following studies. a) A researcher wanted to investigate the prevalence of depression among type II diabetic patients and to examine the relationship between depression and socio-demographic factors, clinical factors, and glycemic control. He conducted a

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we can use the equation D=2H to approximate the distance D, in miles, that you can see to the horizon at a height of H feet. How many miles could a forest ranger see to the horizon if his eyes are 7 feet above ground level and he is standing on a fire tower that is 20 feet high? Express your answer as a radical expression in simplest form. Course

BINOMILA PROBLEMS: ADVANCED A new surgery is successful 80% of the time. If the results of 9 such surgeries are randomly sampled, what is the probability that at least 7 of them are successful? Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.

1.2(a) Consider a signal plus noise model of the general form x t = s t + w t , where w t is Gaussian white noise with s 2= 1. Simulate and plot n =200 observations from each of the following two models ( Save the data generated here for use in Problem 1.21 ): (a) x t = s t + w t , for t = 1 , ..., 200, where ( 0 , t = 1 , ..., 100 ( t - 100) s t

The following information is available. H 0 : 220 H 1 : < 220 A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.

The Jurassic Zoo charges $14 for each adult admission and $ 2 for each child. The total bill for the 211 people from a school trip was $ 1130. How many adults and how many children went to the zoo?

A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 138 ounces and a standard deviation of 0.40 ounce. You randomly select 45 cans and carefully measure the contents. The sample mean of the cans is 137.9 ounces. Does the machine need to be reset? Explain your reasoning. (Yes or No) it is

Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 80 and a standard deviation of 5. Use the 68-95-99.7 rule to find the following quantities. A)The relative frequency of rates less than 90 using the68-95-99.7 rule is B)The relative frequency of rates greater than 85 using the68-95-99.7 rule is C)The

Evaluate the derivative using properties of logarithms where needed. d/dx (9^cosx) a.-sin x 9^cosx b. -sinx 9^cos x-1 c. -ln 9 sin x 9^cosx d. -ln 9 sin x 9^cosx-1 (please include a few key steps)

As part of a promotion for a new type of cracker, free samples are offered to shoppers at a local supermarket. The probability that a shopper will buy a packet of crackers after tasting a free sample is 0.3. Differenst shoppers can be regarded as independent trials. let P^ be the proportion of the next 60 shoppers that buy a packet of crackers

My statistics professor gave us an assignment using the Census website. I had to look at the population of my zipcode from 2010; which was 39,150. She wants us to find the median age, which is already given to us; it is 44.9 years old. She also wants us to find the mean age and we must show all our calculations on how we found the mean age. I

Felt Tense or Stressed Out at Work Gender Yes No Male 244 495 Female 282 480 Source: Data extracted from The 2013 Work and Well-Being Survey, American Psychological Association and Harris Interactive, March 2013, p. 5, bit.ly/11JGcPf. a. the employed adult felt tense or stressed out at work? b. the employed adult was a male who felt tense or

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I need this solved for me. It needs to be an excel spread sheet for the problems and the work must be shown for problem 1 and a word document for the second problem. Here is the background and question The AMS technical services department has embarked on a quality improvement effort. Its first project relates to main- taining the target upload

from past experience, a wheat farmer living in Manitoba, Canada finds that his annual profit (in Canadian dollars) is $80,000 if the summer weather is typical, $50,000 if the weather is unusually dry, and $20,000 if there is a severe storm that destroys much of his crop.Weather bureau records indicate that the probability is 0.70 of typical

ID Salary Compa Midpoint Age 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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 60 26.8 34.7 57.9 48.5 74.3 42 23.6 74.2 22.6 23.4 61.7 41.3 22.9 24.9 46.6 66.5 36.3 24.5 34.3 76.7 57.3 22.5 54.7 24.5 23 39.4 75.4 72 46 24 26.9 59.8 26.5 22.6 23.4 23.3 65.4

In a sample of 1000 homebuyers, you find that 421 home buyers found their real estate agent through a friend. At =0.06, can you reject the claim that 42% of home buyers find their real estate agent through afriend? calculate the z test statistic also.

Fractional Factorial Design A 2^5-2 III fractional factorial design was used to investigate the effect of five factors (A;B;C;D;E) upon a response variable y. (a) Use the generators D = AB and E = -AC to create a fractional factorial design. Please complete the table given below showing the factor settings and the treatment labels in standard

How to differentiate the following equation with respect to x implicitly ? y' + (x^2)y = 0

Tic-Tac-Toe. Predict the winner of a Tic Tac Toe game. There two players, an X player and an O player. X plays first. The goal for either player is to have three Xs or three Os in a row either horizontally, vertically or diagonally. The data set includes all configurations of the 9 position board as variables (or features) and the winner of the

The table gives some hypothetical data for number of hours of video games played in a day and BMI (body mass index) for some young teenagers. Assume that the trend is linear, calculate the correlation, and explain what the sign shows. (Although these are hypothetical data, there have been studies that found the same direction for the trend.)

Choose a number X at random from the set of numbers {1,2,3,4}. Now choose a number at random from the subset no larger than X, that is, from {1,...,X}. Call this second number Y . (a) Find the joint mass function of X and Y . (b) Find the conditional mass function of X given that Y = i. Do it for i = 1, 2, 3, 4. (c) Are X and Y independent? Why?

Suppose that two variables X and Y are known to have a correlation of 0.98. Which of the following statements do we know must always be true?

University of California, Los Angeles Department of Statistics Statistics 100C Instructor: Nicolas Christou Homework 3 EXERCISE 1 Answer the following questions: a. Suppose y1 , y2 , . . . , yn are independent random variables and yi = + i for i = 1, 2, . . . , n. Assume that E( i ) = 0, var( i ) = 2 , and cov( i , j ) = 0. Find the least squares

The following data are the distances from the workplace (in miles) for the 5 employees of a small business: 12, 6, 8, 14, 15 Assuming that these distances constitute an entire population, find the standard deviation of the population. Round your answer to at least two decimal places.

If the true mean is 50 and we reject the hypothesis that = 50, what is the probability of Type II error?

The owner of a convenience store has determined that their daily revenue has mean $7200 and standard deviation $1200. The daily revenue totals for the next 30 days will be monitored. Assume that daily revenues are approximately normally distributed. what is the probability that the daily revenue for any one day will exceed $7000?

2. Describe what is measured by the estimated standard error in the bottom of the independentmeasures t statistic. 4. One sample has SS= 60 and a second sample has SS=48. a. If n=7 for both samples, find each of the sample variances and calculate the pooled variance. b. Assume n=7 for the first sample and n=5 for the second. Again, calculate the

Consider a derivative M/M/1 system when the system empties out, it wont start any service until there are k packets in the system. Once service begins it proceeds until the system becomes empty again. What is the average response time for this derivative M/M/1 system?

The fitted intercept in a regression has little meaning if no data values nearX= 0 have been observed. Ture or False?

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Assumptions guides (be sure to explain how your data meets these assumptions and perform the applicable tests in StatCrunch): T-tests /Chi-Square / Correlation / Regression / ANOVA / Mann-Whitney U / Wilcoxon Signed Rank / Kruskal-Wallis Create a document explaining the data you have decided to use and what statistical test you intend to use. Be

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