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Recent problems solved by 'stanbon'

stanbon answered: 57302 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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Travel_Word_Problems/208282: This question is from textbook Introductory Algebra rachel allows herself 1hr to reach a sales appointment 50mi away. After she has driven 30mi, she realizes that she must increase her speed by 15mph in order to get there on time. What was her speed for the first 30mi? 1 solutions Answer 157558 by stanbon(57375)   on 2009-08-24 14:32:38 (Show Source): You can put this solution on YOUR website! rachel allows herself 1hr to reach a sales appointment 50mi away. After she has driven 30mi, she realizes that she must increase her speed by 15mph in order to get there on time. What was her speed for the first 30mi? -------------------------------------------- 1st part of the drive DATA: distance = 30 mi ; rate = x mph ; time = d/r = 30/x hrs ---------------------------------------------------------- 2nd part of the drive DATA: distance 20 mi ; rate = x+15 mph ; time = d/r = 20/(x+15) hrs. ------------------------------------------------------------ Equation: time + time = 1 hr 30/x + 20/(x+15) = 1 30(x+15) + 20x = x(x+15) 50x + 450 = x^2 + 15x x^2 - 35x - 450 = 0 (x-45)(x+10)= 0 Positive Solution: x = 45 mph (rate she drove on the 1st 30 miles) Cheers, Stan H.

Linear-equations/208275: I am having difficulty with a math question. The question is as follows: Draw the graph of y = -2[x+1] - 4. Do not do this by plotting points. Instead construct a sequence of five graphs and get from one graph to the next by applying an appropriate transformation. My question - are there specific graphs I need to follow or can I use any equation to apply the transformation? We had another sample question using the following 5 equations. Can I use these same equations for my question above by plugging in the above equation to make a final equation to graph? 1) y = x^2 2) y = (x+1)^2 3) y = 3(x+1)^2 4) y = -3(x+1)^2 5) y = -3(x+1)2 +4 1 solutions Answer 157556 by stanbon(57375)   on 2009-08-24 14:25:40 (Show Source): You can put this solution on YOUR website! Draw the graph of y = -2[x+1] - 4. Do not do this by plotting points. Instead construct a sequence of five graphs and get from one graph to the next by applying an appropriate transformation. My question - are there specific graphs I need to follow or can I use any equation to apply the transformation? ---------------------------- Start with y = x ------------------------ Transform to y = x+1 which moves y = x one unit to the left. ------------------------- Transform that to y = -2(x+1) which reflects the previous in the x axis and increases the negative slope. ------------------------- Transform that to y = -2(x+1)-4 which lowers the previous by 4 units. ----------------------------- Final Result: ================================================= Cheers, Stan H.

Probability-and-statistics/208252: Under what conditions would you use the t distribution to test the significance of a single sample proportion? a. none, always use the Z distribution b. only when the population standard deviation is known c. only when sample size is less than or equal to 120 d. only when the population is normally distributed 1 solutions Answer 157549 by stanbon(57375)   on 2009-08-24 13:56:47 (Show Source): You can put this solution on YOUR website! Many statistics texts differ on when to use the t-distribution. You should check your text so you will get answers that fit the conditions specified by your text. Cheers, Stan H.

Quadratic_Equations/208266: Please help me solve this equation, -4(-5w-x)-6(3x+5w) 1 solutions Answer 157546 by stanbon(57375)   on 2009-08-24 13:53:26 (Show Source): You can put this solution on YOUR website! Please help me solve this equation, -4(-5w-x)-6(3x+5w) --- It is not an equation. ----- = 20w+4x -18x-30w --- = -10w - 14x ================== Cheers, Stan H.

Quadratic_Equations/208267: Please help me solve this equation. 6(x+2)= -4x-48 1 solutions Answer 157543 by stanbon(57375)   on 2009-08-24 13:51:02 (Show Source): You can put this solution on YOUR website! Please help me solve this equation. 6(x+2)= -4x-48 ---------------- 6x+12 = -4x-48 10x = -60 x = -6 ================== Cheers, Stan H.

Quadratic_Equations/208265: Please help me solve this equation.-4*4+((-2)^2-3)^3 1 solutions Answer 157541 by stanbon(57375)   on 2009-08-24 13:49:39 (Show Source): You can put this solution on YOUR website! -4*4+((-2)^2-3)^3 --- It is not an equation because it has no equal sign. -------------------------- = -16 + (4-3)^3 --- = -16 + 1^3 --- = -15 ================ Cheers, Stan H.

Probability-and-statistics/208253: Rejection of the null hypothesis in the two-sample case implies that a. the samples are different on the trait of interest b. the populations from which the samples are drawn are different on the trait of interest c. the samples are not different on the trait of interest d. the populations from which the samples are drawn are not different on the trait of interest 1 solutions Answer 157540 by stanbon(57375)   on 2009-08-24 13:47:00 (Show Source): You can put this solution on YOUR website! Rejection of the null hypothesis in the two-sample case implies that a. the samples are different on the trait of interest b. the populations from which the samples are drawn are different on the trait of interest c. the samples are not different on the trait of interest d. the populations from which the samples are drawn are not different on the trait of interest ----------------------------------------------- The null says the population means or proportions are equal. ------------------------ Rejection says the population means or proportions are not equal. ==================================================================== Cheers, Stan H.

Probability-and-statistics/208222: The standard error of the mean for a characteristic of a sample of 100 identity theft victims is 30. In order to cut the standard error to 15, we would: a. Increase the sample size to 200 b. Increase the confidence interval c. Increase the sample size to 400 d. Decrease the sample size to 50 1 solutions Answer 157522 by stanbon(57375)   on 2009-08-24 08:53:41 (Show Source): You can put this solution on YOUR website! The standard error of the mean for a characteristic of a sample of 100 identity theft victims is 30. In order to cut the standard error to 15, we would: a. Increase the sample size to 200 b. Increase the confidence interval c. Increase the sample size to 400 d. Decrease the sample size to 50 ----------------------------------------- SE = t If SE = 30 and n = 100 you have 30 = t ts = 300 --------------- If you want SE to be 15 you need: 15 = ts/sqrt(n) 15 = 300/sqrt(n) sqrt(n) = 20 n = 400 ====================== Cheers, Stan H.

Numbers_Word_Problems/208224: 1)how many odd integers are there between 10/3 and 62/3? please explain how you retrieve the answer. 2)how do we know which numbers provided in the options of the questions are divisible by 24 or, 35 for that matter? If you could please answer my questions. 1 solutions Answer 157521 by stanbon(57375)   on 2009-08-24 08:49:24 (Show Source): You can put this solution on YOUR website! 1)how many odd integers are there between 10/3 and 62/3? please explain how you retrieve the answer. --- 10/3 = 3 1/3 62/3 = 20 2/3 ------------------- The odd integers between those two numbers are 5,7,9,...15,17,19 Count them and you have your answer. =============================================== 2)how do we know which numbers provided in the options of the questions are divisible by 24 or, 35 for that matter? ? What are the "options of the questions"? ================================================ Cheers, Stan H.

Polygons/208221: The measure of each interior each interior angle of a regular polygon is 36 more than its adjacent exterior angle. How many sides has the polygon? Thanks! 1 solutions Answer 157520 by stanbon(57375)   on 2009-08-24 08:45:06 (Show Source): You can put this solution on YOUR website! The measure of each interior angle of a regular polygon is 36 more than its adjacent exterior angle. How many sides has the polygon? Thanks! --------------------------- The two angles are supplementary. So interior = exterior + 36 x = (180-x)+36 x = 90+18 = 108 Therefore the exterior angle is 180-108 = 72 --------------------------- The sum of the exterior angles is 360 # of exterior angles is 360/72 = 5 --- So the # of sides is 5. ================================== Cheers, Stan H.

Probability-and-statistics/208223: If a statistician wishes to determine whether there is evidence that the average family income in a community exceeds $25,000, a. either a one tail or two tail test could be employed with equivalent results b. a one tail test should be utilized c. a two tail test should be utilized d. none of the above 1 solutions Answer 157519 by stanbon(57375)   on 2009-08-24 08:38:17 (Show Source): You can put this solution on YOUR website! If a statistician wishes to determine whether there is evidence that the average family income in a community exceeds $25,000, a. either a one tail or two tail test could be employed with equivalent results b. a one tail test should be utilized c. a two tail test should be utilized --------------------------------------------- The alternate hypothesis always determines the type of test. Since you are for "exceeds 25,000" the alternate will be Ha: u > 25000 So the test will be one-tail. ================================= The onlyl test that is two-tail is Ha : u is not equal to something ======================================== Cheers, Stan H.

Matrices-and-determiminant/208177: I have been trying to get this problem right but am having no luck. It needs to be done using the Gauss-Jordan method. Can someobdy help. x + 3y - 6z = 7 2x - y + 2z = 0 x + y + 2z = -1 Any help would be appreciated. Thanks. 1 solutions Answer 157496 by stanbon(57375)   on 2009-08-23 22:40:58 (Show Source): You can put this solution on YOUR website! x + 3y - 6z = 7 2x - y + 2z = 0 x + y + 2z = -1 ---------------------------- Subtract 1st equation from the 3rd: Subtract 2 times the 1st equation from the 2nd: ------------------------------------------------ x + 3y - 6z = 7 0 - 7y + 14z = -14 0 - 2y + 8z = -8 --------------------------- Divide thru the 3rd by -2 to get: ---------------------------------------- x + 3y - 6z = 7 0 - 7y + 14z = -14 0 + y - 4z = 4 -------------------------- Add 7 times the 3rd to the 2nd: Subtract 3 times the 3rd from the 1st: -------------------------------- x + 0 + 6z = -5 0 + 0 - 14z = 14 0 + y - 4z = 4 --------------------------------- Interchange the 2nd and the 3rd to get: x + 0 + 6z = -5 0 + y - 4z = 4 0 + 0 - 14z = 14 ---------------------------------- Divide thru the 3rd by -14 to get: x + 0 + 6z = -5 0 + y - 4z = 4 0 + 0 + z = -1 ------------------------ Add 4 times the 3rd to the 2nd: Subtract 6times the 3 from the 1st: --------------------------------------- x + 0 + 0 = 1 0 + y + 0 = 0 0 + 0 + z = -1 --------------------------- x = 1 y = 0 z = -1 ============== Cheers, Stan H.

Miscellaneous_Word_Problems/208171: At work one day, Erica Franz received 45 packages. Speedy Delivery delivered three times as many as ralph's Express, while Ralph's express delivered five more than Send Quick Package Service. How many packages did each service deliver to Erica? 1 solutions Answer 157493 by stanbon(57375)   on 2009-08-23 22:22:15 (Show Source): You can put this solution on YOUR website! At work one day, Erica Franz received 45 packages. s + r + q = 45 Speedy Delivery delivered three times as many as ralph's Express, while Ralph's express delivered five more than Send Quick Package Service. s = 3r r = s + 5 ---------------------- How many packages did each service deliver to Erica? s + r + q = 45 s - 3r + 0 = 0 s - r + 0 = -5 ------------------------ I solved this system and got unrealistic values for s,r and q. ---- Cheers, Stan H.

Equations/208174: Use words or set notation to identify equations that have no solution, or equations that are true for all real numbers. 5x-5=3x-7+2(x+1) 1 solutions Answer 157485 by stanbon(57375)   on 2009-08-23 22:03:53 (Show Source): You can put this solution on YOUR website! 5x-5=3x-7+2(x+1) 5x-5 = 3x -7 + 2x + 2 5x-5 = 5x-5 --- This is true for all values of x. ===================================== Cheers, Stan H.

Polynomials-and-rational-expressions/208173: I am not sure how to solve this: 2d^2 + 3d^2 - 4e^2 - 5e^2 I know (2d^2 + 3d^2) = 5d^2 but is the next part of the equation -(4e^2 - 5e^2) = -1e^2 or +(-4e^2 - 5e^2) = -9e^2 Can you please help? Thank you!!!! 1 solutions Answer 157483 by stanbon(57375)   on 2009-08-23 21:59:39 (Show Source): You can put this solution on YOUR website! 2d^2 + 3d^2 - 4e^2 - 5e^2 I know (2d^2 + 3d^2) = 5d^2 but is the next part of the equation -(4e^2 - 5e^2) = -1e^2 or +(-4e^2 - 5e^2) = -9e^2 ------------------------------- -4e^2 -5e^2 = -9e^2 ====================================== Cheers, Stan H.

Quadratic_Equations/208167: Factor by grouping: 3x3 + 15x2 - 4x – 20. 1 solutions Answer 157482 by stanbon(57375)   on 2009-08-23 21:50:15 (Show Source): You can put this solution on YOUR website! Factor by grouping: 3x^3 + 15x^2 - 4x – 20. ---------------------------------- = 3x^2(x+5) - 4(x+5) ---- = (x+5)(3x^2-4) ====================== Cheers, Stan H.

Probability-and-statistics/208154: X Y 1 3 2 5 3 7 4 9 Which equation describes the relationship between the X and y values in the table below? A. Y = 3x B. Y = x + 2 C. Y = 3x - 1 D. Y = 2x + 1 I know I have done these but I can not remember what the steps are. 1 solutions Answer 157480 by stanbon(57375)   on 2009-08-23 21:44:24 (Show Source): You can put this solution on YOUR website! X Y 1 3 2 5 3 7 4 9 Which equation describes the relationship between the X and y values in the table below? ---------------------- As x increases one y increases two, so the slope is m = 2 But when x = 1, y = 3 so the equation is y = 2x+1 ===================================================== Cheers, Stan H. ===================================================== A. Y = 3x B. Y = x + 2 C. Y = 3x - 1 D. Y = 2x + 1

Probability-and-statistics/208097: Sam brought 1 to 250 tickets selling for $2 in a game with a game prize of $400. Was $2 a fair price to pay for the ticket to play the game? 1 solutions Answer 157466 by stanbon(57375)   on 2009-08-23 19:56:40 (Show Source): You can put this solution on YOUR website! Sam bought 1 of 250 tickets selling for $2 in a game with a game prize of $400. Was $2 a fair price to pay for the ticket to play the game? ---------------------- Random variable values are 398 and -2 Corresponding probabilities are (249/250) and 1/250 --------------------------------------- E(x) = (249/250)*(-2) + (1/250)*398 E(x) = -1.992 + 1.592 E(x) = -40 cents (He can expect to lose 40 cents) -------------------------------- To make the game fair he should only pay $1.60 to play the game. ====================================================================== Cheers, Stan H.

Geometry_Word_Problems/208128: A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled. 1 solutions Answer 157464 by stanbon(57375)   on 2009-08-23 19:49:26 (Show Source): You can put this solution on YOUR website! A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled. ------------------------------------ Average speed = (46.1-18.5)/2.47 = 11.174 mps --------------------------- Distance = rate * time = 11.174*2.47 = 27.6 m ================================================ Cheers, Stan H.

Probability-and-statistics/208098: On a TV game show, the contestant is asked to select a door and then is rewarded with the prize behind the door selected. If the doors can be selected with equal probability, what is the expected value of the selection if the three doors have behind them a $40,000 foreign car, a $3 silly straw, and a $50 mathematics textbook? 1 solutions Answer 157462 by stanbon(57375)   on 2009-08-23 19:44:31 (Show Source): You can put this solution on YOUR website! If the doors can be selected with equal probability, what is the expected value of the selection if the three doors have behind them a $40,000 foreign car, a $3 silly straw, and a $50 mathematics textbook? ---------------------------- Random variable values are 40000, 3, and 50 The probability of each is 1/3 ----------------------------- Expected value = (1/3)(40000+3 + 50) E(x) = (1/3)(40053) = $13,351.00 ========================================= Cheers, Stan H.

Graphs/208138: Graph the system of inequalities. Y (is less than equal to) -3/5x-1 AND y (is greater than) -2 1 solutions Answer 157460 by stanbon(57375)   on 2009-08-23 19:39:32 (Show Source): You can put this solution on YOUR website! Graph the system of inequalities. Y (is less than equal to) -3/5x-1 AND y (is greater than) -2 --------------------------------------------- Graph y = (-3/5)x -1 as a solid line. Shade the half-plane below that boundary line. ---------------------------- Graph y = -2 as a dashed line. Shade the half-plne above that boundary line. ------------------------------- The solution set is the intersection of the two half-planes and the line y = (-3/5)x-1 ------------------------------------------------- =================================================== Cheers, Stan H.

Probability-and-statistics/208099: The mean systolic blood pressure of adult males is normally distributed with a mean of 138 (millimeters of mercury) and a standard deviation of 9.7. What percent of adult males have blood pressure between 161.28 and 164.9? 1 solutions Answer 157458 by stanbon(57375)   on 2009-08-23 19:34:47 (Show Source): You can put this solution on YOUR website! The mean systolic blood pressure of adult males is normally distributed with a mean of 138 (millimeters of mercury) and a standard deviation of 9.7. What percent of adult males have blood pressure between 161.28 and 164.9? ------------------------- Find the z-value of 161.28 and the z-value of 164.9. ---- If those values are "a" and "b" then: P(161.28 < x < 164.9) = P(a < z < b) = 0.005422... ======================================================= Cheers, Stan H.

logarithm/208058: I am trying to find the domain of f(t)=4.5et 1 solutions Answer 157384 by stanbon(57375)   on 2009-08-23 10:58:49 (Show Source): You can put this solution on YOUR website! I am trying to find the domain of f(t)=4.5e^t ------------------------ You don't need to find the domain. It is always "All Real Numbers" unless there is some aspect of the equation that excludes some of the Real Numbers. --- In your problem there is no such exclusion, so the domain is All Real Numbers. --------------- If, however the problem includes some words which might indicate the "t" is time starting at zero, then the domain would be "All Real Numbers >0 zero. --- Cheers, Stan H.

Linear-systems/208021: which expression can be substituted for x in the top equation of the system below to solve the system by substitution? 2x+10y=1 x-4y=-4 1 solutions Answer 157380 by stanbon(57375)   on 2009-08-23 10:43:23 (Show Source): You can put this solution on YOUR website! which expression can be substituted for x in the top equation of the system below to solve the system by substitution? 2x+10y=1 x-4y=-4 --------------------- Solve the 2nd equation for "x": x = 4y-4 ================== Cheers, Stan H.

Functions/208025: the lines f(x)= ax+b and g(x)=bx-a are perpendicular lines a.) f(0)*g(0) b.) if g(1)/f(0)=5 a>0 what is the value of a? 1 solutions Answer 157377 by stanbon(57375)   on 2009-08-23 10:25:24 (Show Source): You can put this solution on YOUR website! the lines f(x)= ax+b and g(x)=bx-a are perpendicular lines f(0) = b ; g(0) = -a ----------------------------- a.) f(0)*g(0) = b*-a = -ab ------------------------ b.) if g(1)/f(0)=5 a>0 what is the value of a? (b-a)/b = 5 b-a = 5b a = -4b ================ Cheers, Stan H.

Geometric_formulas/208047: A square has a diagonal of 10 sq. root of 2, find the perimeter and it's area? 1 solutions Answer 157376 by stanbon(57375)   on 2009-08-23 10:20:25 (Show Source): You can put this solution on YOUR website! A square has a diagonal of 10 sq. root of 2, find the perimeter and it's area? ------------------------------- Let each side be "s": Equation: s^2 + s^2 = (10sqrt(2))^2 2s^2 = 200 s^2 = 100 s = 10 --------------- Perimeter = 4s = 40 Area = s^2 = 100 =================== Cheers, Stan H.

Numbers_Word_Problems/208057: A sporting goods store sold twice as many baseballs as bats. Balls were $9 and bats were $14. $256 dollars were made by both products combined. How many of each was sold? 1 solutions Answer 157375 by stanbon(57375)   on 2009-08-23 10:16:48 (Show Source): You can put this solution on YOUR website! A sporting goods store sold twice as many baseballs as bats. Balls were $9 and bats were $14. $256 dollars were made by both products combined. How many of each was sold? --------------------------------- Let B = # of Baseballs; Let b = # of bats Quantity: B = 2b Value::::9B + 14b = 256 ---------------------------------- Substitute for "B" to solve for "b": 9(2b) + 14b = 256 32b = 256 b = 8 (# of bats sold) B = 2b = 16 (# of balls sold) =================================== Cheers, Stan H. ===================================

Travel_Word_Problems/208056: This question is from textbook Algebra 1 concepts and skills Driving Distance: You are driving across the country at an average speed of 65 miles per hour. Using an appropriate formula, find the distance you travel in 4 hours. 1 solutions Answer 157374 by stanbon(57375)   on 2009-08-23 10:10:55 (Show Source): You can put this solution on YOUR website! Driving Distance: You are driving across the country at an average speed of 65 miles per hour. Using an appropriate formula, find the distance you travel in 4 hours. ------------------------------ distance = rate * time distance = 65 mph * 4 hrs = 260 miles =========================================== Cheers, Stan H.

Problems-with-consecutive-odd-even-integers/208050: This question is from textbook algebra 1 an integrated approach add or subtract as indicated. simplify. show your factoring, cancelling, and the sttep for finding the lowest common denominator. (assume that no denominator is 0. (x+5)^2/x^2+2x-15 +2/4x-12 1 solutions Answer 157373 by stanbon(57375)   on 2009-08-23 10:07:15 (Show Source): You can put this solution on YOUR website! (x+5)^2/(x^2+2x-15) +2/(4x-12) --------------------- Factor where you can to get: --- (x+5)^2/[(x+5)(x-3)] +2/[4(x-3)] ---- Cancel where you can to get: (x+5)/[(x-3)] + 1/[2(x-3)] --------------------------------------------- least common denominator: 2(x-3) -------- Rewrite fractions over the lcd: [2(x+5)]/lcd + 1/lcd -------------------- Combine the numerators over the lcd: [2x+10+1]/lcd --------------------- Simplify: [2x+11]/[2(x-3)] ====================== Cheers, Stan H.

Money_Word_Problems/208054: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 3) Let A = [ 0 -2 1 ] [ 4 -1 0 ] and B = [ 1 -2] [ 0 1 ] [-2 -1] . Find AB this are i think matrik 1 solutions Answer 157367 by stanbon(57375)   on 2009-08-23 09:41:32 (Show Source): You can put this solution on YOUR website! Write the word or phrase that best completes each statement or answers the question. 3) Let A = [ 0 -2 1 ] [ 4 -1 0 ] and B = [ 1 -2] [ 0 1 ] [-2 -1] . Find AB --------------------------- AB = [-2...-3] [4....-9] ======================================== Cheers, Stan H.

Probability-and-statistics/208002: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1 Crash Damage ($) Goliath Varmint Weasel 1,600 1,290 1,090 760 1,400 2,100 880 1,390 1,830 1,950 1,850 1,250 1,220 950 1,920 1 solutions Answer 157362 by stanbon(57375)   on 2009-08-23 09:31:53 (Show Source): You can put this solution on YOUR website! In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1 Crash Damage ($) Goliath Varmint Weasel 1,600 1,290 1,090 760 1,400 2,100 880 1,390 1,830 1,950 1,850 1,250 1,220 950 1,920 --------------------------------------- Ho: Crash Damage Cost is Independent of car model Ha: They are not independent ----------- I ran ANOVA on the data and got the following: test statistic: F = 0.9366 p-value: P(F>0.9366) = 0.4188 ------------------------------------- Conclusion: Since the p-value is so high, Fail to reject Ho. --------------------------------- Cheers, Stan H.