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Mathematics Questions and Answers March 29, 2023

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state null and alternative hypothesis, value of test statistic, decision rule for rejecting the null hypothesis, and reject or fail to reject The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 379 seconds. For a sample of 12
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A poll in one country indicated that 49 % favor imposing the death penalty(the country currently does not haveit). The poll did not report the sample size butstated, "Polls of this size are considered to be accurate to within 2.2 percentage points 95 % of thetime." About how large was the samplesize?

What is the value for X2right for a 98% confidence interval when n = 12

Question 26 If there are four independent variables in a multiple regression equation, there are also four constant terms. dependent variables. Y-intercepts. regression coeffcients. Question 27 If the regression equation is Yhat =2 ? 0.4X, what is the value of Yhat when X = ?3? -10.0 3.2 0.8 14.0 Question 28 A manager at a ski resort in Vermont
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Solving Problem #1 manually. Use Excel make a table for ANOVA and just type in the numbers, fill in the blanks and complete the tests. You will not be able to use Data Analysis tab for this purpose. 1.The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the

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loncapaOZpurdue.edu Find the average value of f(x,y) = 4am on the rectangle wlth vertlces (0,0), (8,0), (8, 6), and (0,6). (Round your answer to the nearest tenth) Submit Answer Tries 0/10
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Assume that a demand equation is given by q equals 8000 minus 100 pq=8000100p. Find the marginal revenue for the given production levels (values of q). a. 1000 units The marginal revenue at 1000 units is. (Simplify your answer.) b. 4000 units The marginal revenue at 4 0 0 0 units is. (Simplify your answer.) c. 5500 units The marginal revenue at 5

1.) A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting an eight or four. (b) Compute the probability of randomly selecting an eight or four or ace. (c) Compute the probability of randomly selecting a two or club. 2.) Suppose Ari loses 27 % of all ping dash pong games

What is the critical value for a 95% confidence interval based on a sample size of 20? (Population standard deviation is unknown.) A. 1.724718 B. 2.09302 C. 2.08596 D. 1.729133

Statistics Probability question, please show steps. Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a certain article, the mean of the x distribution is about $36 and the estimated standard deviation is about $9 . (b) What is the probability that x is between $34 and $38

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. x : 15 0 21 21 22

Please help me with Business Statistics and Quantitative Analysis homework. Choose your favorite company or brand and search finance.yahoo.com with that company name and historical stock prices. Download the stock history for this company for the past 6 weeks by selecting the appropriate dates and clicking on Download to Spreadsheet at the bottom

Chapter 04, Section 4.2, Additional Question 012 A sample of820adults showed that74 of them had no credit cards,175 had one card each,84 had two cards each,71 had three cards each,39had four cards each, and377 had five or more cards each. Suppose one adult is randomly selected from these820 adults. Find the probability that this adult has exactly

1 Estimate the 95% confidence interval for the population mean price of Hatchbacks. Q2 How does this compare to the 95% confidence interval for the population mean price of Coupes? price 2499 2631 4409 2793 2939 9114 2911 1470 2058 1985 1103 3675 2027 2204 2911 4190 735 2426 2279 3234 1470 2793 2911 2939 6615 4263 6027 2205 3969 2337 7056 1397

8th-ed Chapter 04, Section 4.2, Problem 020 Which of the following values cannot be probabilities of events? 0.4, 2/3, -0.05, 1.50, 0.92, 7/4, -1/4, 0.02 Select all that apply. (A) 1.50 (B) 0.92 (C) -1/4 (D) 7/4 (E) 0.02 (F) 0.40 (G) 2/3 (H) -0.05

In order to estimate the mean 30-year fixed mortgage rate for a home loan in the United States, a random sample of 22 recent loans is taken. The average calculated from this sample is 4.80%. It can be assumed that 30-year fixed mortgage rates are normally distributed with a standard deviation of 0.4%. Compute 95% and 99% confidence intervals for

Solve the following related rates a) At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship B is sailing north at 19 knots. How fast, in knots, is the distance between ships changing at 5 pm. (1 knot is a speed of 1 nautical mile per hour) b) In a simple electric circuit, Ohm's law states that V=IR,

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A Hollywood studio is about to release a movie.On the basis of their past experience, the studio executives feel there is a 30 percent chance the movie will be a financial success.The executives also know that a particular reviewer liked 90 percent of those movies that were financial successes.On the other hand, that reviewer disliked 70 percent

Exxon is claiming that the cost of a barrel of oil is $50. They sampled 200 barrels of oil. Using a significance level of .05: Step 4: Formulate the decision rule. a. Reject H0 if -1.64 > z > 1.64 b. Reject H0 if -196 > z > 1.96 c. Reject H0 if -2.58 > z > 2.58 d. Reject H0 if z > 1.96

Good Evening, I have a couple of questions posted in Stats that I was hoping you could help me with. They are already posted and haven't been answered yet. Thank you

25 independent polls of 1000 random people each are taken during the course of an extremely close election campaign. People in the poll are asked which of the two candidates they favor. A. Estimate the standard error and margin of error for each of the polls B. How large a poll sample would be required if a margin of error of only 10% was desired

77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that less than two families have life insurance? Can you please show your work to better help me understand?

How much money must be invested into an account paying 8% annually, compounded annually, to have $635,000 in 22 years when I retire? a)Calculate the PV (Present Value) using the "Present Value of $1.00" table in your textbook. Remember: To use Table 13-3, you need the Number of Periods and the Interest Rate per Period. b)Calculate the PV (Present

The mean score for 18 holes of golf course is 68 with a standard deviation of 12. Lou scores 95. What z-score does this correspond to?

The chair of the accounting department plans to develop a regression model to predict the grade point average in accounting for those students who are graduating and have completed the accountingmajor, based on astudent's SAT score and whether the student received a grade of B or higher in the introductory statistics course (0=no and 1=yes).

An open label study (where participants are aware of the treatment they are taking) is conducted to assess the time to pain relief following treatment in patients with arthritis. The following linear regression equations are estimated relating time to pain relief measured in minutes (dependent variable) to participant's age (in years), gender

If a student picks three problems and decides to study only those three problems to prepare for the exam, what is the probability that he/she picked the three problems the teacher decided to use? (State your answer as a decimal rounded to four decimal points.)

What is the Mean,median,and mode, 1st and 3rd quartile, and population standard deviation and variance, a sample standard deviation using range rule of thumb. Considering these as course grades, with an A worth 4.0, B worth 3.0, etc., compute the GPA of the course. The grades are 29 (A), 32 (B), 26(C), 41(D), 12(F) total 100. Use formulas in Excel

A rectangular building covering 600m^2 is to be built on a lot as shown to the right. If the building is to be 40 40 m from the boundary on each side and 60 m from the boundary in front andback, find the dimensions of the building if the area of the lot is to be minimized.

A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the "continuous-use life" of D batteries. As fresh batteries were installed, each flashlight was turned on and the time noted. When the flashlight no longer produced light, the time was again noted. The resulting "life" data from

Thez-score corresponding to an observed value of a variable tells you?

Suppose the figures given in this feature are actually only sample data. Would any of the techniques presented in this chapter be appropriate for conducting hypothesis teststodetermine if there is a significant difference between Americans and Europeans on the consumption of various beverages? If so, what additional information would be needed?

The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $835 and a standard deviation of $280. Assume that the balances on all these Visa cards follow a normal distribution. a. What is the probability that a randomly selected Visa

Chamberlain College of Nursing NR505 Advanced Research Methods: Evidenced Based Practice Week 4: Research Literature, Design and Sampling PURPOSE: This assignment provides the opportunity for the student to continue development of a MSN EBP scholarly project that started with the identification of a nursing issue and PICOT/PICo question. The focus

Problem 2. Let D C R3 be the volume bounded by the surfaces 51 : z = 3:2 + 3/2 and 52 z 22 = $2 + y2. Draw or describe the region D. Find its volume. Finally compute the following integral: /// e
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A production line produces rulers that are supposed to be 12 inches long. A sample of 49 of the rulers had a mean of 12.1 and a standard deviation of .5 inches. The quality control specialist responsible for the production line decides to do a two-sided hypothesis test to determine whether the production line is really producing rulers that are 12
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Fortune 500 Magazine claimed the average age of all US Chief Executive Officers (CEOs) was 58.3 years with a standard deviation of 4.8 years. If a random sample of 55 USCEOswas selected, find the probability that the sample mean will lie within 2 years of the average age claimed by the magazine? Give your answer to three decimal places.

Hi, solve the following; Given 2,5,9,7,7,12,7,3,13 Find the; mode mean

A study of65bolts of carpet showed that their average length was74.2yards. The standard deviation of the population is3.6yards. Which of the following is theconfidence interval for the mean length per bolt of carpet?

Perform a Regression Analysis a.Write down the regression equation b.Hypothesis testing c.Scatter plot: Exploratory Data Analysis d.Regression Model e.Linear Regression Techniques With the following information A survey of 10 graduates 5 Literature Major Graduates make between $30,000-$31,000 3 Technology Graduates make $40,000 2 Computer Science

I require assistance with the following questions below. I do not require an extensive explanation _ Question 4 Suppose the distribution of dandelions in a large meadow is approximately Poisson, with a mean of 5 dandelions per square metre. In a randomly selected square metre plot of the meadow, what is the probability there are more than 2
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For the following geometricsequence, find a 10 3 3/5 3/25 3/125

Assuming that a sample ( N =504) has a sample standard deviation of 2.26, what is the upper bound of a 95% confidence interval if the sample mean is 2.96? A. 2.76 B. 2.96 C. 3.16 D. 5.94

Math215 - Statistical Concepts Names: _______________________________ Confidence Intervals Worksheet Use your TI/84 calculator to practice finding confidence intervals for a population mean and a population proportion! First review the following worked examples: 1. Example of a Confidence Interval for the mean, , of a population with a known:

Use the formula for Subscript n C r to evaluate the expression 7C4 A. 720 B. 420 C. 35 D.12 What is the answer?

NAME: MATH 1643Fall 2017Ungraded HW 7.5Lesson 2.7 (You will not hand in this homework, though you need to know how to do it. Answers will eventually be posted so that you can check your work.) INSTRUCTIONS: On each problem, show your work in the blank space provided. Place your final answer in the box. #1. Find the inverse of each function. Use

The table below displays data on defect rates at a compact disk (CD) pressing facility. The table includes data on the distribution of CDs that have content errors (missing and/or wrong content), and on the distribution of CDs that have labeling errors. What is the conditional probability that a CD has no content errors, given that has a labeling
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Can people better memorize letters if they are presented in recognizable groupings than if they are not? Students in an introductory statistics class were the subjects in a study that investigated this question. These students were given a sequence of 30 letters to memorize in 20 seconds. Some students (25 of them) were given the letters in

Brand Apple Google Microsof IBM Visa Tencent/QQ Facebook Wells Fargo Mastercard Baidu ICBC Asia SAP American Express HSBC RBC hp China Construction Bank Oracle Samsung TD Commonwealth Bank Agricultural Bank of China Accenture Intel ANZ Citi Bank of China Cisco Siemens Huawei US Bank JP Morgan Westpac LinkedIn Santander Chase ING Twitter Bank of

Suppose that a sample mean is .27 with a lower bound of a confidence interval of .25. What is the upper bound of the confidence interval? A. 0.23 B. 0.27 C. 0.29 D. 0.02

The owner of a local nightclub has recently surveyed a random sample ofn= 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the

A medical association study shows that 20% of all Americans suffer from high blood pressure. Suppose that 10 Americans are randomly selected and each person is asked if he has high blood pressure. In this binomial distribution application, which Excel statement will find the probability of between 3 and 7 Americans, inclusively, with high blood

Exponential Probabilities Mean Lambda 8000 0.000125 x F(x) 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 12000 13000 14000 15000 16000 17000 18000 19000 20000 21000 22000 23000 24000 25000 26000 27000 28000 29000 30000 31000 32000 33000 34000 35000 36000 37000 38000 39000 40000 0 0.1175031 0.2211992 0.3127107 0.3934693 0.4647386

How do I calculate the Fishers LSD number when dealing with ANOVA problems? Ho: There is no difference in perception of ethical values between Marketing Managers, Marketing Research and Advertising professionals. Ha: There is a difference in perception of ethical values between at least 2 of the groups Marketing Managers, Marketing Research and
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4- Find the mode(s) for the given sample data. The speeds (in mi/h) of the cars passing a certain checkpoint are measured by radar. The results are shown below. 42.70 mi/hr 42.6 mi/hr, 42.5 mi/hr, 43.0 mi/hr 43.0 mi/hr 42.6 mi/hr 5- Find the sample standard deviation for the given data. Round your final answer to one more decimal place than that

The average American consumed 10.6 pounds of mozzarella cheese in 2009 (U.S. Department of Agriculture, February 20, 2012). Do male and female consumers differ in the amounts of mozzarella cheese they consume? The average consumption in a sample survey of 35 male consumers was 12.9 pounds, and the average consumption in a sample survey of 50

Use the given sample data to find Q3 49 52 52 52 74 67 55 55

a=5.20 x 10^3 and b=3.06 x 10^8

Researchers at a dog food company have developed a "new and improved" version of their traditional dog food. To test whether dogs have a preference for the new and improved variety, 60 hungry dogs are, one at a time, placed in a large room. On the opposite side of the room there are two bowls of dog food. In one bowl is the traditional dog food,

You calculate a correlation and obtain a value of -1.32. From this you know that a.The correlation is very strong. b.As scores on one variable go down, scores on the other variable go up. c.As scores on one variable go down, scores on the other variable also go down. d.You have made a calculation error.

Suppose you are interested in the relationship between adolescent employment and the number of delinquent acts one commits. To examine this relationship, you take a sample of 30 youths, 10 of whom did not work in the previous year, 10 youths who worked less than 15 hours per week during the previous year, and 10 youths who worked more than 15

A student participates in a Coke versus Pepsi taste test. She correctly identifies which soda is which four times out of six tries. She claims that this proves that she can reliably tell the difference between the two soft drinks. You have studied statistics and you want to determine the probability of anyone getting at least four out of six tries

company doing a hypothesis test on variation of quality from two suppliers and both distributions are normal, populations are independent. I want to use a=0.01 Ho:012=022 Ha:o1>022 sd of 1st sample =6.0892, 6.6773 is the sd of the 2nd sample Test statistic = ? Reject null or Fail to reject null ?

Match the confidence level with the confidence interval for the population mean. Type the correct letter in each box.

The ages of a group of 50 women are approximately normally distributed with a mean of 52 years and a standard deviation of 6 years. One woman is randomly selected from the group, and her age is observed. a. Find the probability that her age will fall between 56 and 60 years. b. Find the probability that her age will fall between 48 and 53 years.

1)P(X>250)= answer should be 5 decimal places using NORMALCDF. 2)P(250

A developmental psychologist is interested in assessing the "emotional intelligence" of college students. The experimental design calls for administering a questionnaire that measures emotional intelligence to a sample of 100 undergraduate student volunteers who are enrolled in an introductory psychology course. Currently being taught at her

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What value of z divides the standard normal distribution so that half the area is on one side and half is on the other? Round your answer to two decimal places.

Math 226, HW5, due on Friday, October 20 1. Section 12.6: 1, 4, 17, 19 2. Chapter 12, Review Exercises: 4,5 3. Let a1 , . . . , am be real numbers. Show that v uX m u m 2 X |ai | t aj |ai | j=1 i=1 (the first inequality holds for all i). 4. Recall that for x, y Rn v u n uX |x y| := t (xi yi )2 i=1 Write f : Rn Rm as f (x1 , . . . , xn ) = (f1 (x1

Assume the random variable x is normally distributed with mean mu equals = 83 83 and standard deviation sigma equals = 5 5 . Find the indicated probability. P( 67 67 less than

Information for an ANOVA table listed below corresponds to an experiment with two IV's: 1) Time of day (morning or afternoon) 2) Room temperature (cool, normal, or warm) The productivity level (on a scale of 0-100) of employees during the morning or afternoon is measured in cool, normal, or warm working conditions. This is a completely

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N = 1,166 pet owners Margin of Error ( 2.9) . . "Overall, do you like, dislike or neither like nor dislike dogs? . . . A lot or a little?" . Like a Lot Pet owners 84% 1. Calculate confidence interval estimates for the proportion a.State the confidence interval using the MoE. What does this confidence interval estimate? i.Like a lot: (84-2.9%,

This question is related to actuarial mathematics- Life contingencies . Section 19 of ACT348: U of T: University of Toronto. `) puff tamrin . puff - Adobe Acrobat Reader DC File Edit View Window Help HOME Tools `of tamrin . pdf X (?) Sign In 1 1 1 13| A my @ @ \\49 .7% -| LI GIGLE L4 Export PDF Example 1 : 19 Create PDF Consider a 10 , 000 fully
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A normal population has a mean=28and standard deviation 5.What proportion of the population is less than23

Figure 1 shows sample means fmm samples of size n = 30 from a population. Estimate the value of the population parameter and estimate the standard error for the sample statistic. 25 45 65 85 105125145 Figure 1 Sampling distribution Round your answers to the nearest integer
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To state that a case study is heuristic means that a. it represents a strategy employed by scholars. b. it relies on participant knowledge. c. it shares something new about the phenomenon. d. it supports a priori hypotheses.

Duration Interval 216 108 200 137 272 173 282 216 117 261 110 235 252 105 282 130 105 288 96 255 108 100 207 184 272 216 118 245 231 266 258 268 202 242 230 121 112 290 110 287 261 113 274 105 272 199 230 79 54 74 62 85 55 88 85 51 85 54 84 78 47 83 52 62 84 52 79 51 47 78 69 74 83 55 76 78 79 73 77 66 80 74 52 48 80 59 90 80 58 84 58 73 83 64 126

What is the dollar amount of dividends if the stock was purchased for $25 a year ago, it is now worth $31 and the total return was 0.39?

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample ofbusiness travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the
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A bowl contains8red balls and8blue balls. A woman selects balls at random without looking at them. How many balls must she select (minimum) to be sure of having at least three balls of the same color? I found that she needs to select 5 balls to be sure to have at least three balls of the same color but CANT UNDERSTAND WHY?

If an Estimator has the smallest variance among all other unbiased estimators of a parameter, then the Estimator is?

A senator wishes to estimate the proportion of U.S voters who favor abolishing the Electoral College. How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 3%? _ Can someone help me with this one? "( A. 22 B. 1509 C. 1842 D. 3684

EECS 55 - Engineering Probability Homework #8 Due: Mar 14, in class 1) If X~N(3, 4), Y~N(-2, 6), Z~N(1, 3), and X and Y and Z are independent, what are the distribution, expectation and variance of S = 3X-2Y+Z? Notation: N(3, 4) is a Normal RV with mean 3 and variance 4. 2) If X is uniformly distributed over (0,1) and Y is exponentially

PUAD660 - Quantitative Methods Unit 5 Practice Problems Answer Key https://books.google.com/books? id=8VU8AwAAQBAJ&pg=PA222&lpg=PA222&dq=Random+samples+of+men+and+women+ have+been+given+a+scale+that+measures+their+support+for+gun+control.&source=bl&ots=64 Ta1izXIT&sig=fw7wZGqijOzEKU3AuOBlceDTpfY&hl=en&sa=X&ved=0ahUKEwi51667_ZT

A group of 5 boys and 5 girls are to be seated in a row of 10 adjacent seats to watch a performance. Find the number of possible seating arrangements if not all the girls are seated together. After the performance, the group books a round table with 10 identical seats at a restaurant for dinner. Given that 2 particular girls are seated directly

What is the upper limit if a tolerance is given as 4 3 / 4 plus or minus 1 / 64 ?

According University of Maryland records, 0.55 of undergraduate students have lived in Maryland, 0.38 of undergraduate students have lived in states other than Maryland, and 0.16 of undergraduate students have not lived in any of the 50 states. a. Determine the probability an undergraduate student selected at random has lived in EITHER Maryland OR

A manufacturer of cereal has a machine that when working properly puts 20 ounces of cereal on average into a box with a standard deviation of 1 ounce. Every morning workers weigh 25 filled boxes. If the average weight is off by more than 1 percent from the desired 20 ounces per box, company policy requires them to recalibrate the machine. In a

For the givenevent, state whether the difference between what occurred and what you would have expected by chance is statistically significant or not statistically significant. Assume that a study of 500 randomly selected school bus routes showed that 484 of the buses arrived on time. One of thebuses, however, was late. statistically significant

SEI 69.7 78.0 39.0 83.7 78.0 63.5 31.5 33.3 64.2 67.0 69.2 33.6 68.1 36.5 76.4 61.9 76.3 50.7 63.5 87.9 31.4 83.7 63.5 37.9 27.5 63.5 73.2 67.0 60.5 30.8 28.4 36.7 67.0 74.9 63.5 63.5 56.5 62.5 38.0 33.2 34.3 63.5 38.9 63.5 38.9 73.3 EDUC PRESTIGE INCOMEC HRSWKL MAXSEI RACECODED 18 51 22 50 61.9 1 20 62 21 40 37.9 1 14 38 16 50 38.9 1 18 74 22 42

MA681 Project 1 Sept 2017 Center Pivot Irrigation Systems are throughout the world and in about half the sprinkler irrigation systems in the U.S. Even if you haven't seen one up close, you have probably seen them from the air due to the distinctive visual pattern they create. In simple terms, the system consists of a large arm, like the one

Repeat-measures ANOVA: A violation of the assumptions for a given inferential statistical test influences the results.When the research does not have independence of samples, repeat-measures ANOVA can be useful for dependent samples. Give an example when a researcher might prefer repeat-measures ANOVA over ANOVA

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