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Mathematics Questions and Answers March 06, 2023

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STAT 4005 ASSIGNMENT 1 Due date: October 5, 2015 2 Let at N ID(0, a ). 1 1. Suppose E(X) = 3, V ar(X) = 2, E(Y ) = 0, V ar(Y ) = 4, and Corr(X, Y ) = 4 . Find (i) V ar(2X + Y ), (ii) Cov(Y, X + Y ), and (iii) Corr(X + Y, 2Y X). 2. Suppose Zt = 8 + 2t + 5Xt , where {Xt } is a zero-mean stationary series with autocovariance function k . (a) Find the

Hi, I need tocollectsamplesto prepare a 3 by 3 matrix related to the same output variable and determine if the selected independent variables are affecting the dependent variable, using an alpha of 10% for ANOVA and Correlation Coefficient.

Which of the following would be an appropriate alternative hypothesis? The mean of a population is equal to 55. The mean of a sample is greater than 55. The mean of a population is greater than 55. The mean of a sample is equal to 55.

MBA 6325 Decision Models for Supply Chain Managers Linear Programming Case: A Production Problem at TS6 Fabricators Inc. Steven Coy, Ph.D. 2010-2015 "I think that will do it. Thanks Mr. Bear. I will send the order in today. As always, it is a pleasure doing business with you." Helena Troya returned the phone to its cradle and leaned back in her

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The basic objective of a sample is to draw ____________________ about the population from which such sample is drawn. a) Conclusion b) Characteristics c) Inferences d) Parameters

1) An electric car contains 2,500 components, each component fails independently from the others and the yearly failure probability per component is 0.002. (a) What is the probability that all components are working at the end of one year? (b) What is the probability that three or more components fail before the end of the year? 2) Assume that the

Name:_________________________________ Chapter 6 Problem Solving 1. Find the following areas under the Standard Normal Distribution of the given z-scores. a) The area to the right of 0.65 b) The area between -2.34 and 1.05 2. A hot dog manufacturer asserts that one of his brands of hot dogs has an average fat content of = 18 g per hot dog. Assume

One field representative services five customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every four working days. The field representative can handle an average (Poisson-distributed) of one call per day. Determine: a. The expected number of customers waiting. b. The average length

The state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 1426 1228 988 695 729 836 728 750 542 624 1447 943 Assume the population is normally distributed. Find the sample mean. Find the standard deviation Construct a 99%

A and B throw with one die for a prize of Rs199 which is to be won by the player who first throws 6. If A has the first throw their respective expectation are a) Rs 64, Rs 46 b) Rs 54, Rs 45 c) Rs 87, Rs 78 d) Rs 35, Rs 53

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1. A citrus farmer has observed the following distribution for the number of oranges per tree. How many oranges does he expect on average? Oranges 25 35 45 55 Probability 0.10 0.50 0.20 0.20 The farmer expects oranges on average. (Type an integer or a decimal.) 2. A commuter must pass through 5 traffic lights on her way to work and will have to

Two Population Means QNT/351 Version 5 University of Phoenix Material Two Population Means A tomato farmer with a very large farm of approximately 2200 acres had heard about a new type of rather expensive fertilizer which would supposedly significantly increase his production. The frugal farmer wanted to test the new fertilizer before committing

provide an appropriate response. The text book defines unusual values as those data points with z-scores less than z = -2.00 or z scores greater than z = 2 00. Comment on this definition with respect to Chebyshev's theorem; refer specifically to the percent of scores which would be defined as unusual according to Chebyshev's theorem

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.7inches and a standard deviation of 3.0 inches. A study participant is randomly selected.

Epidemiological Study Designs Understanding the differences among the types of epidemiological study designs is important for translating the results to public health practice. For this paper, you will identify and design epidemiological research studies. To prepare, review the Resources about epidemiologic study designs. Then, locate an

Identical twins come from a single egg that split into two embryos, and fraternal twins are from separate fertilized eggs. Also, identical twins must be of the same sex and the sexes are equally likely, and sexes of fraternal twins are equally likely. If a pregnant woman is told that she will give birth to fraternal twins, what is the probability

According to the Internal Revenue Service (IRS), the chances of your tax return being audited are about 6 in 1,000 if your income is less than $50,000; 10 in 1,000 if your income is between $50,000 and $99,999; and 49 in 1,000 if your income is $100,000 or more (Statistical Abstract of the United States: 1995). If two taxpayers with incomes under

Question 01: An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and the economist uses a random sample of size n = 75. a) What is the probability that the sample mean will fall within $800 of the population mean? b) Given know we know that the population mean

Question #1 Simple Interest Jerry borrowed $10,657.50 from his bank to build an attached garage and work space on his house. Jerrys simple interest loan had a rate of 13% and required him to pay $12,250 under the agreed terms. What was the duration of his loan? Question #2 Compound Interest Sam is saving money in an annuity and is earning 5%

A single six-sided die is rolled. Find the probability of rolling a seven. A) 0 B) 0.1 C) 0.5 D) 1

A business with 5 copy machines keeps track of how many copy machines need service on a given day. It believes this is binomially distributed with a probability of p=0.2 of each machine needing service on any given day. It has collected the following based on a random sample of 100 days. X Frequency 0 28 1 38 2 22 3 7 4 or 5 5 Total 100 Given this

SOAN 2120 Sample Questions For First Test 1) Professor Carroll found a relationship between education and occupation. However, when she introduced age as a test factor, the relationship between education and occupation disappeared in the partials. This illustrates a) spurious relationship. b) explanation. c) interpretation. d) replication.

The total cholesterol levels of a sample of men aged 35-44 are normally distributed with a mean of 221 milligrams per deciliter and a standard deviation of 36.6 milligrams per deciliter. (a) What percent of the men have a total cholesterol level less than 217 milligrams per deciliter of blood? (b) If 260 men in the 35-44 age group are randomly

A survey showed that 80% of the 1600 adult respondents believe in global warming. Construct a 95% confidence interval estimate of the proportion of adults believing in global warming.

Can you answer these: Part 1 of 16 - Question 1 of 23 1.0 Points The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01 level of significance, is the proportion of seeds that

UIZ # 6 Problems 1. Calculate the first 10 terms (starting with n=1 ) of the sequence a1=2, a2=2,, for n3, a n=a n1 an2 2. State whether the sequence converges or diverges? If the sequence converges, find its limit. 3n 2 2n 4 2 2n 2 2 n 1 3. Does the series definitely diverge by the nth Term Test? If not, what can we conclude? 8n 4 3n 2 5n 2 4 3 2

Chapter 4 Internet Homework Problems 4.50 Registration numbers for an accounting seminar over the past 10 weeks are shown below: Week 1 2 3 4 5 6 7 8 9 10 22 Registrations 21 25 27 35 29 33 37 41 37 a) Starting with week 2 and ending with week 11, forecast registrations using the naive forecasting method. b) Starting with week 3 and ending with

1. value: 10.00 points It is claimed that Proactine, a new medicine for acne, is 75 percent effective. It is applied to the affected area of a group of 15 people. Calculate the probability for the following (Round your answers to 3 decimal places): (a) All 15 will show significant improvement Probability (b) Fewer than 9 of 15 will show

In a random sample of 29 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a tdistribution to construct a 95% confidence interval for the population mean mu . What is the margin of error of mu ? Interpret the results. The confidence interval for

Q: Counter processes. Suppose that particles arrive at a counter according to a Poisson processwith rate . An arriving particle that finds the counter free gets registered and then locksthe counter for an amount of time . Particles that arrive while the counter is locked haveno effect (i.e., are not counted). (a) Find the limiting probability the

Name:__________________________ QL Project 3 Buy a package of M&M's!! Determine the probability of selecting each color from the M&M package. Determine the probability of selecting three red M&M's in a row without replacing them. Determine the probability of selecting a red M&M or a blue M&M

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MA1210: Module 5 Polynomial and Rational Functions Lab 5.1 Rational Functions and Inequalities This lab requires you to find the maximum area, use synthetic division to find zeros of a polynomial, and use the remainder theorem to evaluate a polynomial function. Recommended Procedures: 1. (20 points) You have 150 yards of fencing to enclose a

Which of the following is an example of a null hypothesis? Select one: a. Is there a difference in the ethnicity of online college students?b. There is a difference in the ethnicity of online college students.c. There is no difference in the ethnicity of online college students.d. There are more African-American online college students than

Suppose a group of statistics has been hired to answer the following question: What percentage of freeway and highway bridges in the United States were built more than 35 years ago? (a) What is the population these statistics are studying? (b) Give and example of stratified sampling for this population. Be specific. (c) If the statistics chose

Estimation and Testing of Capital Asset Pricing Model The capital asset pricing model (CAPM) is an important model in the field of finance. It explains variations in the rate of return on a security as a function of the rate of return on a portfolio consisting of all publicly traded stocks, which is called the market portfolio. Generally the rate

Regression Statistics Multiple R 0.8691 R Square 0.7554 Adjusted R Square 0.7467 Standard Error 44.4765 Observations 30.0000 ANOVA of MS F Significance F Regression 1 171062.9193 171062.9193 86.4759 0.0000 Residual 28 55388.4309 1978. 1582 Total 29 226451.3503 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -95.0614

Case Study: Severance PayWhen one company buys another company, it is not unusual that some workers areterminated. The severance benefits offered to the laid-off workers are often the subject ofdispute. Suppose that the Laurier Company recently bought the Western Company andsubsequently terminated 20 of Westerns employees. As part of the buyout

The average starting salary for graduates at a university is $25,000 with a standard deviation of $4,000. If a histogram of the data shows that it takes on a bell shape (normally distributed), the empirical rule says that approximately 68% of the graduates would have a starting salary between

Show all your work for each of the next three examples, do the following: (a) Determine the null and alternative hypotheses. (b) Define a Type I error. (c) Define a Type II error. A. Chevrolets Silverado Truck. The Chevrolet Silverado gets an average fuel rating of 24 miles per gallon. GM has developed a new fuel injection system designed to

8. John Lister (for whom Listerine is named) was a British physician who was pioneer in reducing deaths of surgical patients from infections. He suspected that bacteria were involved in transmitting infection, so he tried using carbolic acid as an operating room disinfectant. In 75 amputations, he used carbolic acid 40 times. He did not use

#1 Prove: Hilberts Euclidean Parallel Postulate if and only if the opposite sides of a parallelogram are congruent. (A parallelogram is defined as a quadrilateral with pairs of opposite sides that are parallel.) note : this is if and only if question. so you have to assume that Hilberts Euclidean Parallel Postulate holds and prove the the opposite

X and Y take onA={1,2,3}.PX,Y(x,y)=1/9. Z is the maximum of X and Y. What is P[Z=2]?

The distribution of dragons' wingspans is known to be bimodal. A very brave ecologist decides to measure the wingspans of wild dragons. He measures 100 samples with 60 dragons in each sample. According to the central limit theorem, what do we know about the distribution of the mean wingspan? It will be approximately bimodal with a larger/wider

PART II: Advanced Graphic Solution for Linear Programming. Given the following linear programming problem: Maximize(profit) Z = 30X1 + 10X2 subject to: X1 + X2 5 (2) X1 + 2X2 6 (3) 5X1 + 2X2 10 (4) 2X1 - 3X2 6 (5) -3 X1 + 2X2 6 (6) X1 - 2X2 0 X1 0, X2 0 (a) Plot each constraint in the graph and identify it by crosshatching or shading the

f(x) = x + 3g(x) = | x 3 |The functions f and g are defined above. What is the value of f (g(3)) ?A. 6B. 3 C. 0D. 3E. 9

Construct the confidence interval for the population mean mu . c equals = 0.98, x=6.1, sigma equals = 0.9, and n equals = 49

An executive of a new telephone company wants to know whether the average length of evening long-distance telephone calls in a metropolitan area still equals 18.1 minutes, as it did in the past. A simple random sample of 25 evening calls is to be used to find the answer at a significance level of =0.05. After taking a sample of n = 25, the

Show All of your Work! Complete 9 Problems 1. A poll is conducted with 1434 randomly selected U.S. adults. The poll showed that 72% of the respondents support gun rights. The sample results are n = 1434 and ^ = 0.72. Find the p confidence Interval that corresponds to a 95% confidence interval. ^ + z ^ ( 1 ^ ) / n p p p 2 to ^ z ^ ( 1 ^ ) / n p p p

A random sample of 8 recent college graduates found that starting salaries for computer scientists had a mean of $85000 and a standard deviation of $15000. There are no outliers in the sample data set. Construct a 95% confidence interval for the average starting salary of all computer scientists in Gainesville.

A parameter is a measure which is computed from A) Population data B) Sample data C) Test statistics D) None of these

AweeklysportsmagazinepublishesaspecialeditionfortheWorldSeries.Thesalesforecastisforthenumberofcopiestobenormallydistributedwithmean500,000copiesandstandarddeviation25,000copies.Itcosts$.35toprintacopy,andthenewsstandpriceis$1.95.Unsoldcopiescanbesoldtoarecyclingcenterfor$.15each. Whatistheperunitcostofoverestimation?

fi, .-- --.,---'.4 Mw' . u "1 3 Do Homework - Haya Badra - Google Chrome sil ln; 8 https://www.mathxlcom/Student/PlayerHomework.aspx?homew0rkld=3859987108tqustionld INTERMEDIATE ALGEBRA (SALEM - Section BO "mm-- -.--.W ...........-7. nr..." . , ***** Homework: SeC-I ; xq 17onr24(18compre1e)v "MW", Score: 0 of1 pt 3.5.43{ mm-.mmww

Construct an APA statement for the following info: A cheerleading squad received a mean rating (out of 100 possible points) of 75 12 in competitions over the previous three seasons. The same cheerleading squad performed in 36 local competitions this season with a mean rating equal to 78 in competitions. Suppose we conduct a one sample z test to

A random sample of 300 circuits generated 13 defectives a.) use the data test Ho:p=0.05 versus H1: pis not equal to 0.05 use 0.05% find the p-value for the tes

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A professor is interested in comparing the average amount spent on textbooks for freshmen and sophomores. A random sample of 10 freshmen yielded a sample mean amount of $1023 and a sample standard deviation of $68. A random sample of 14 sophomores yielded a sample mean amount of $1257 and a sample standard deviation of $338. Construct a 99%

Important Note!!! -Read everything from the beginning to Managerial report. Find number of machines to produce in order to maximize the companys profit. As for retail price, use only the info about $2400/unit of Body plus100 and $3500/unit of Body plus 200, ignore the information about 70% of suggested price. This number is the only number that

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CHAPTER 13a EXERCISES Consider the SAT data we have seen in class and that you worked with (or will work with) in Homework 7. Below is an excerpt of the entire dataset, which is uploaded in Course Content (without the Verbal and Math variables): PPS T/S-R Avg.$ % Takers Verbal Math Total Alabama 4.405 17.2 31.144 8 491 538 1029 Alaska 8.963 17.6

The average yearly rainfall in the Sahara desert used to be 10 inches. A climatologist believes that amount has changed. Which pair represent the null and alternative hypothesis? H o : ---Select---=> <10 H a : ---Select---=> <10 The climatologist takes a sample of 20 recent yearly rainfall records and obtains an average of 10.3 inches. Suppose the

Is there auniquesolution for the following linear set of equations? Explain youranswerwithout solving the problem (if solveable )? 3x+3y+12z=6 x+y+4z=2 2x+5y+20z=10 -x+2y+8z=4 Hint: Ax=b

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A bacteria has a doubling period of 6 days' If there are 3550 bacteria present now, how many will there be in 43 days? First we must find the the daily growth rate. What is the growth rate and then what is the total bacteria?

An outbreak of illness from West Nile virus (WNV) infection took place in the northeastern United States between July and October, 2001 (CDC: Sero-surveys for West Nile virus infectionNew York and Connecticut counties, 2000. MMWR 2001;50:37.). Questions 110: For each numbered situation, below, select the most appropriate term from the following

How is the rejection region defined, and how is that related to the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples in courts, in medicine, or in your area?

uantitative Analysis - International and Public Affairs U6500 Sections 1, 2, 3, 4/Fall 2015 Professor Yang Homework #8: Inference for one mean, Difference in two means, one proportion, and Difference in two proportions Due in Mailbox 49 6th Floor IAB: Wednesday November 11 4:00 p.m. (Sections 3 & 4)/ Thursday November 17 4:00 p.m. (Sections 1 & 2)

The state highway patrol recorded the number of speeding tickets given to drivers in the state each day. They found this number to be approximately normally distributed with mean = 69.5 and standard deviation = 7.3. Use this information to calculate the 90th percentile of the number of speeding tickets given in the state each day. _______

1. Refer to the Johnson Filtration problem introduced in this section. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data follow. Repair Time in

A sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent. basketball football soccer men 20 25 30 75 women 18 12 15 45 38 37 45 120 What is the test value for this hypotheses test? What is the critical value for this hypothesis test? What

Hey, you answered the population parameters may not be applicable for: A major limitation of a two group design is that ____. I've seen different answers but I'm not sure which one to choose. Can you help?

Three coins whose faces are marked 1 and 2 are tossed. Their expectations of the total values of numbers on their faces is a) 9.5 b) 4.5 c) 3 d) 4

Name: Date: Topic 2: Population and Sampling Distribution Excel Worksheet Directions: Answer all questions and submit to instructor at the end of Topic 2 1 A. For a normal distribution that has a mean of 100, and a standard deviation of 8, determine the Z-score for each of the following X values: X = 108 Z= X = 112 Z= X = 98 Z= X = 70 Z= X = 124

Pleaseshow your work and explainyour steps forthe equation below.Make sure to check your answer once the problem is complete. Then write an example for your classmates to try that also requires multiple steps. 7x - 5(2 - 4x) + 8 = 21x - 10(x - 2)

2. Perform a MANOVA. Using the Activity 8.sav data set perform a MANOVA. Group is your fixed factor, and LDL and HDL are your dependent variables. Be sure to include simple contrasts to distinguish between the drugs (group variable). In the same analysis, include descriptive statistics, and parameter estimates. Finally, be certain to inform SPSS

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A nutrition laboratory tests 40 reduced sodium hot dogs, finding that the mean sodium content is 310 mg, with a standard deviation of 36 mg. Find a 95% confidence interval of the mean sodium content of this brand of hot dog. What assumptions have you made in this inference? Explain what your interval means. The nutrition lab tests hotdogs again,

Weights of women in one age group are normally distributed with a standard deviation of 19 lb. A researcher wishes to estimate the mean weight of all women in this age group. Find how large a sample must be drawn in order to be 90 percent confident that the sample mean will not differ from the population mean by more than 2.6 lb. A. 143 B. 206 C.

2. The reliability of two types of machines used in the same manufacturing process is to be tested. The first machine failed to operate correctly in 45 out of 300 trials while the second type failed to operate correctly in 50 out of 250 trials. Carry out a hypothesis test to check whether there is a statistically significant difference in the

You are a marketing manager for a company that makes ready-to-eat breakfast cereals. Your company recently initiated a loyalty program for consumers, which resulted in a large purchaser database. The brand managers are eager to mine the available data, which they can use to design more effective promotional programs. Your first step is to conduct

Shift 8 a.m. to 6 p.m. 6 p.m. to 4 a.m. 4 a.m. to 2 p.m. Cost 300 350 400 Requirements of mechanics for 6-hour blocks Day 8 a.m. to 2 p.m. Monday 7 Tuesday 7 Wednesday 7 Thursday 7 Friday 7 Saturday 4 Sunday 4 2 p.m. to 6 p.m. 6 6 6 6 5 3 3 6 p.m. to 4 a.m. 4 4 4 4 3 3 3 4 a.m. to 8 a.m. 5 4 4 4 3 3 3

Consider an undirected random graph of eight vertices. The probability that there is an edge between a pair of vertices is 1/2. What is the expected number of unordered cycles of length three?

1 Select one answer. 10 points Rainfall and corn crop yield reported for the 38 years from 1890 through 1927 give us the scatterplot shown below with an r = 0.0426. Yield is the number of ears of corn measured in metric tons per hectare, rainfall is in inches. Based on corn crop yield from Ezekiel, M. and K. A. Fox. (1959). Methods of Correlation

353 of 586randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected records of personal telephone calls they had made. Is there sufficient evidence to conclude that a majority of U.S. adults feel this way? Test the appropriate hypotheses using a 0.01 significance level. (Round your test

Eastman Publishing Company is considering publishing an electronic textbook on spreadsheet applications for business. The fixed cost of manuscript preparation, textbook design, and website construction is estimated to be $150,000. Variable processing costs are estimated to be $7 per book. The publisher plans to sell access to the book for $49

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question 1. In the accompanying table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability distribution, find its mean and standard deviation. A. If the table is a probability distribution, what is its mean? Select

Drive (miles) 20 28 54 76 36 88 6 25 40 42 55 71 76 78 4 20 25 29 33 36 36 36 63 73 73 76 80 33 54 63 76 80 80 94 6 State OR NY NV PA TX SC MI CA IL IL OH MI NY CA NY IL GA TX TX MI IL OR MI FL SC NY FL SC FL PA PA NV SC KY OR Shoe Size 7 7 11 11 7 6 10 8 10 8 9 11 9 11 9 5 9 11 9 10 12 9 5 12 11 9 9 11 9 10 11 12 10 11 13 Height (inches) 65 67 65

what is the difference between T test and F test ( 2 points each ) and which cases to use them

Q1: A multimode step index fiber has a relative refractive index difference of 1% and a core refractive index of 1.46. The maximum optical bandwidth that may be obtained with a particular source on a 4.5 km link is 3.1 MHz. (a) Determine the rms pulse broadening per kilometer resulting from chromatic dispersion mechanisms. (b) Assuming waveguide

What is the meaning of Range and how is it calculated?

1. The impact on sampling of increasing the sample size is: Select one: A.the amount of sampling error is always reduced.B.the potential for extreme sampling error is reduced.C.the sample mean will always be closer to the population mean.D.There is no specific relationship between sample size and sampling error. 2. What sample size would be

Here are heart rates for a sample of 30 students before and after a class break. At = .05, was there a significant difference in the mean heart rate? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the test statistic. (d) Make a decision. (e) Estimate the p-value and interpret it. HeartRate Heart Rate Before and After

A bank made a farmer a loan of $1,200 at 17% for three years compounded annually. Find the future value and the compound interest paid on the loan. Compare the compound interest with simple interest for the same period. Future value equals=$ (Round to the nearest cent as needed.) Compound interest equals=$ (Round to the nearest cent as needed.)

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MGMT 650 Fall 2016 Problem Set 5 (Last updated 9/15/2016) 1. ANOVA: UMUC wants to use a new tutorial to teach the students about business ethics. As an experiment the administrator randomly selected 15 students and randomly assigned them to one of three groups which include either a PowerPoint presentation created by the faculty, AuthorGen

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