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# Recent problems solved by 'stanbon'

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 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149, >>Next

 Quadratic-relations-and-conic-sections/495128: Vertex of x^2+3x+21 solutions Answer 335988 by stanbon(57203)   on 2011-09-10 22:20:59 (Show Source): You can put this solution on YOUR website!Vertex of x^2+3x+2 --- vertex occurs at x = -b/(2a) = -3/2 --- The y-value is (-3/2)^2 + 3(-3/2) + 2 = 9/4-9/2+2 = -1/4 ------------------------- Vertex = (-3/2, -1/4) ========================== Cheers, Stan H. ==========
 Travel_Word_Problems/495141: Two cars travel toward each other at constant velocities. One is going 12 m/s, and the other 18 m/s. They are 3000m apart when we first see them. I need to get all the information I can out of this problem. There is no question. I want to know where they with either run into or pass each other? And anything else this information can tell me.1 solutions Answer 335986 by stanbon(57203)   on 2011-09-10 22:05:24 (Show Source): You can put this solution on YOUR website!Two cars travel toward each other at constant velocities. One is going 12 m/s, and the other 18 m/s. They are 3000m apart when we first see them. ------------- Their closing rate is (10+18)m/s = 28 m/s ---- time = distance/rate -- time = 3000m/28 = 107.17 seconds The trains will meet in 107.17 sec ===================================== Cheers, Stan H. ============================
 Linear_Algebra/495142: If a=4 and b=5, then ab=45. True or False? If False explain.1 solutions Answer 335985 by stanbon(57203)   on 2011-09-10 21:59:04 (Show Source): You can put this solution on YOUR website!If a=4 and b=5, then ab=45. True or False? If False explain. ---- False: ab = 4*5 = 20 ================== Cheers, Stan H.
 decimal-numbers/495138: Hi. My son is learning 'powers'. So he takes the number 1,000 and writes it out with powers. (one times 10 to the third power plus one times ten to the second power etc). Question How are fractions represented using powers? For instance 1234.56, how would you represent the .56 as power (is it 5 times 10 to the .1 power plus 6 times ten to the .01 power)? Thank you1 solutions Answer 335983 by stanbon(57203)   on 2011-09-10 21:57:01 (Show Source): You can put this solution on YOUR website!how would you represent the .56 as power (is it 5 times 10 to the .1 power plus 6 times ten to the .01 power)? ---------------------------------- 0.56 = 5*10^(-1) + 6*10^(-2) =============================== Cheers, Stan H. ==========
 Linear-equations/495133: I need to graph -1/4 and y-intercept (0,-2) y = -1/4x - 2 I can not figure this out. Please help1 solutions Answer 335981 by stanbon(57203)   on 2011-09-10 21:52:49 (Show Source): You can put this solution on YOUR website!I need to graph -1/4 and y-intercept (0,-2) y = -1/4x - 2 ---- I think this is what you want: Put your pencil at (0,-2) on the y-axis. ----- Comment: slope = -1/4 means "as x increases 4, y decreases by 1". ---- Move your pencil 4 to the right (0,+2); then move you pencil down 1 to (-1,+2)---put a point at (-1,+2) --- Draw a line thru (0,-2) (-1,2) That is the graph you want. Cheers, Stan H. =========
 Numbers_Word_Problems/495134: If a certain number is doubled and the result is increased by 7, the number obtained is 19. What is the original number? 1 solutions Answer 335980 by stanbon(57203)   on 2011-09-10 21:42:10 (Show Source): You can put this solution on YOUR website!If a certain number is doubled and the result is increased by 7, the number obtained is 19. What is the original number? --------------------- Let the number be "x": Equation: 2x +7 = 19 2x = 12 x = 6 ---------------- Cheers, Stan H. ================
 Equations/495135: How doyou go about solving the problem; R=325-280e^-0.005t This pertains to a roast. The questions are 1) What is the temp of the fridge? 2) What is the temp of the roast after 30 min?1 solutions Answer 335978 by stanbon(57203)   on 2011-09-10 21:37:49 (Show Source): You can put this solution on YOUR website!R=325-280e^-0.005t This pertains to a roast. The questions are 1) What is the temp of the fridge? R(0) = 325 - 280*1 = 45 degrees ------------------------------------ 2) What is the temp of the roast after 30 min? R(30) = 325 - 280*e ^-0.005*30 = 84 degrees ------------------------------------- Cheers, Stan H. ==============
 Probability-and-statistics/494931: Once down to about 15, the world’s only wild flock of whooping cranes now numbers a record 237 birds in its Texas Coastal Bend wintering ground. The average whooping crane egg weighs 208 grams. A new batch of eggs was recently weighed, and their weights are listed below. At a _ 0.01, is there sufficient evidence to conclude that the weight is greater than 208 grams? 210 208.5 211.6 212 210.3 210.2 209 206.4 209.7 1 solutions Answer 335964 by stanbon(57203)   on 2011-09-10 20:45:23 (Show Source): You can put this solution on YOUR website!Once down to about 15, the world’s only wild flock of whooping cranes now numbers a record 237 birds in its Texas Coastal Bend wintering ground. The average whooping crane egg weighs 208 grams. A new batch of eggs was recently weighed, and their weights are listed below. At a _ 0.01, is there sufficient evidence to conclude that the weight is greater than 208 grams? 210 208.5 211.6 212 210.3 210.2 209 206.4 209.7 ---- Ho: u <= 208 Ha: u > 208 (claim) ------ x-bar = 209.74 ; s = 1.6734 test statistic: z(209.74) = (209.74-208)/1.6734 = 1.0398 Critical value: z = invNorm(.99) = 2.3263 ----- Conclusion: Since the test stat is not in the reject interval, fail to reject Ho. The test results do not support the claim. ============ Cheers, stan H. =============
 Probability-and-statistics/495039: In a study of childhood asthma, 4,317 observations were collected on education and smoking during pregnancy, shown in the 4 × 3 contingency table below. Research question: At α = .005, is smoking during pregnancy independent of education level? (Data are from Michael Weitzman and Deborah Klein Walker, “Maternal Smoking and Asthma,” Pediatrics 85, no. 4 [April 1990], p. 507.)Education No Smoking <12 Pack ≥12 Pack Row Total High School 1,370 290 270 1,930 Some College 635 68 53 756 College 550 30 18 598 Col Total 3,196 584 537 4,317 1 solutions Answer 335954 by stanbon(57203)   on 2011-09-10 20:20:09 (Show Source): You can put this solution on YOUR website!In a study of childhood asthma, 4,317 observations were collected on education and smoking during pregnancy, shown in the 4 × 3 contingency table below. Research question: At α = .005, is smoking during pregnancy independent of education level? (Data are from Michael Weitzman and Deborah Klein Walker, “Maternal Smoking and Asthma,” Pediatrics 85, no. 4 [April 1990], p. 507.)Education No Smoking <12 Pack ≥12 Pack Row Total High School 1,370 290 270 1,930 Some College 635 68 53 756 College 550 30 18 598 Col Total 3,196 584 537 4,317 ----- Ho: row and column factors are independent Ha: row and column factors are not independent -------------- I ran a Ch-Sq program on the 3x3 set of data and got the following: test stat: Chi-Sq = 139.78 p-value: 3.15x10^-23 --- Conclusion: Since the p-value is less than 0.5% reject Ho. The test does not support independence of the row and column factors. ================================ Cheers, Stan H. ============
 Probability-and-statistics/495035: 15.20 A study of health care planning undertook a mail survey of hospital administrators in Arkansas, Louisiana, and east Texas. Research question: At α = .05, is the type of planning independent of the intensity of competition? Degree of Limited Constituency Comprehensive Competition Planning Planning Planning Row Total Low 11 25 33 69 Moderate 19 23 15 57 High 43 25 17 85 Col Total 73 73 65 211 1 solutions Answer 335948 by stanbon(57203)   on 2011-09-10 20:04:41 (Show Source): You can put this solution on YOUR website!At α = .05, is the type of planning independent of the intensity of competition? Degree of Limited Constituency Comprehensive Competition Planning Planning Planning Row Total Low 11 25 33 69 Moderate 19 23 15 57 High 43 25 17 85 Col Total 73 73 65 211 ---------------------------------- Ho: Row and column factors are independent Ha: Row and column factors are not independent --------------------- I ran a Chi-Sq on the 3 by 3 data set and got the followiing: test stat: Chi-Sq = 24.59 p-value: 0.00006075 --- Conclusion: Since the p-value < 5% , reject Ho. The test results do not support concluding the row and column factors are independent. =========================================== Cheers, Stan H.
 Probability-and-statistics/495059: A. Classify the following as an example of nominal, ordinal, interval, or ratio level of mesurement, and state why it represents this level: ranking of college basketball teams. B. Determine if this data is qualitative or quantitative: Home value. C. In your own line of work give one example of a discrete and one example of a continius random variable, and describe why each is continous or discrete.1 solutions Answer 335945 by stanbon(57203)   on 2011-09-10 19:43:58 (Show Source): You can put this solution on YOUR website!A. Classify the following as an example of nominal, ordinal, interval, or ratio level of mesurement, and state why it represents this level: ranking of college basketball teams.::: ordinal---simply ranks the teams ------------------------------------------ B. Determine if this data is qualitative or quantitative: Home value. ::::: ratio because there is a Real zero ------------------------------------------ C. In your own line of work give one example of a discrete and one example of a continius random variable, and describe why each is continous or discrete. ---------- time is continuous pay is discrete ==================== Cheers, Stan H. ============
 percentage/495085: use an inequality to solve the problem. be sure to show all of your work. a bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 33 marbles in it. at lease how many green marbles does it have? 1 solutions Answer 335944 by stanbon(57203)   on 2011-09-10 19:30:32 (Show Source): You can put this solution on YOUR website!a bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 33 marbles in it. at least how many green marbles does it have? ----- b = 2g b + g >= 33 ---- Substitute to get: 2g + g >= 33 3g >= 33 --- green >= 11 ================= Cheers, Stan H. =========================
 Equations/495084: write an algebraic expression that represents how many segments can be drawn between n points1 solutions Answer 335939 by stanbon(57203)   on 2011-09-10 18:56:47 (Show Source): You can put this solution on YOUR website!write an algebraic expression that represents how many segments can be drawn between n points --- Answer: nC2 = (n*(n-1))/2 ========================= Cheers, stan H.
 Coordinate-system/495083: How do you determine the center of a circle if you have the endpoints1 solutions Answer 335937 by stanbon(57203)   on 2011-09-10 18:51:35 (Show Source): You can put this solution on YOUR website!Post one or two of your problems. ============ Cheers, stan H.
 percentage/495076: solve the problem by ststing the equation you would use to solve and then solving it. show all of your work. after reciving a discourt of 12.5% on it buly order of printer paper, John's office supply pays \$3200. what was the price of the order before the discount? round to the nearest dollar.1 solutions Answer 335934 by stanbon(57203)   on 2011-09-10 18:48:50 (Show Source): You can put this solution on YOUR website!after reciving a discount of 12.5% on a buy order of printer paper, John's office supply pays \$3200. what was the price of the order before the discount? round to the nearest dollar. --- Let original price be "x": Equation: x - 0.125x = 3200 --- 0.875x = 3200 x = 3200/0.875 x = \$3657,14 ================ Cheers, Stan H.
 real-numbers/495075: Can you give me lots of examples, and the definition of a real number, rational number, irrational number, and integers. Please and thank you. 1 solutions Answer 335930 by stanbon(57203)   on 2011-09-10 18:37:11 (Show Source): You can put this solution on YOUR website!You will find examples of these by using Google on the net. ============== cheers, Stan H.
 Linear-equations/495067: Can you find the slope and y-intercepts of the graph of 3y-12x=24? Give ordered pair.1 solutions Answer 335926 by stanbon(57203)   on 2011-09-10 18:32:12 (Show Source): You can put this solution on YOUR website!Can you find the slope and y-intercepts of the graph of 3y-12x=24? Give ordered pair. ------------ Put the equation into slope-intercept form: y - 4x = 8 y = 4x+8 slope = 4 intercept = 8 ======================================== Cheers, Stan H.
 Linear-equations/495062: Write the equation of a line that has slope 2 and y-intercept (0, 1/2). Give the answers in slope-intercept form.1 solutions Answer 335925 by stanbon(57203)   on 2011-09-10 18:23:19 (Show Source): You can put this solution on YOUR website!Write the equation of a line that has slope 2 and y-intercept (0, 1/2). Give the answers in slope-intercept form. ----- y = mx + b m is the slope b is the y-intercept ---- Equation: y = 2x + 1/2 ===================== Cheers, Stan H.
 Expressions-with-variables/495055: The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?1 solutions Answer 335921 by stanbon(57203)   on 2011-09-10 18:15:10 (Show Source): You can put this solution on YOUR website!The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number? ------- Equation: Let the number be "x": (x/2) = 2x - 3 ---- x = 4x -6 3x = 6 x = 2 ------------------- Cheers, stan H. ===============
 Probability-and-statistics/495015: PLEASE HELP! I CANNOT FIGURE OUT NOR UNDERSTAND HOW TO DO THIS PROBLEM. Keiths Florists has 16 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 16 trucks, 8 have brake problems. A sample of 6 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)1 solutions Answer 335911 by stanbon(57203)   on 2011-09-10 17:41:01 (Show Source): You can put this solution on YOUR website!Keiths Florists has 16 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 16 trucks, 8 have brake problems. A sample of 6 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? ----------------------- ----- Binomial Problem with n = 6 and p(defective) = 8/16 = 1/2 -------------- P(x = 2) = 6C2(1/2)^2(1/2)^4 = 15(1/64) = 15/64 = 0.2344 ============== Cheers, Stan H. ==============
 absolute-value/495002: How do you solve the following, 4|2q-1|=12 ?1 solutions Answer 335900 by stanbon(57203)   on 2011-09-10 16:53:37 (Show Source): You can put this solution on YOUR website!4|2q-1|=12 ? Divide by 4 to get: |2q-1| = 3 ---- 2q-1 = 3 or 2q-1 = -3 2q = 4 or 2q = -2 q = 2 or q = -1 ========================= Cheers, stan H.
 Length-and-distance/495013: X has coordinates (a,3a), and Y has coordinates (-5a,0). What are the coordinates of the midpoint of XY?1 solutions Answer 335899 by stanbon(57203)   on 2011-09-10 16:50:19 (Show Source): You can put this solution on YOUR website!X has coordinates (a,3a), and Y has coordinates (-5a,0). What are the coordinates of the midpoint of XY? ---- midpoint: x-coordinate = (a-5a)/2 = -2a y-coordinate = (3a+0)/2 = (3/2)a ------------------------------------- midpoint = (-2a, (3/2)a) ========================== Cheers, Stan H. =============
 Rational-functions/495005: p^2-49/(p+7)^21 solutions Answer 335897 by stanbon(57203)   on 2011-09-10 16:46:46 (Show Source): You can put this solution on YOUR website!(p^2-49)/(p+7)^2 ---- Factor: [(p-7)(p+7)]/[(p+7)^2] ----- = (p-7)/(p+7) ================ Cheers, Stan H.
 Numbers_Word_Problems/495006: Please help me solve this promblem tutors and thank you for your time . It is write an equation that represents : four more than twice a number is equal to 1/2 of the sum of the number and 6.1 solutions Answer 335894 by stanbon(57203)   on 2011-09-10 16:43:06 (Show Source): You can put this solution on YOUR website!write an equation that represents : four more than twice a number is equal to 1/2 of the sum of the number and 6. ----- Let the number be "x": 2x + 4 = (1/2)(x+6) ======================= Cheers, Stan H. ============
 Age_Word_Problems/495007: John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be twice Mary's current age. Find their ages now. If x is Mary's age now and y is John's age now, which system of equations could not be used to solve the problem?1 solutions Answer 335892 by stanbon(57203)   on 2011-09-10 16:38:21 (Show Source): You can put this solution on YOUR website!John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be twice Mary's current age. Find their ages now. ------------- If x is Mary's age now and y is John's age now, which system of equations could not be used to solve the problem? ---- y = x + 5 2(y+10)-(x-10) = 35 ----------------------- Substitute for "y" and solve for "x": 2(x+15) -x+10 = 35 x + 25 = 35 x = 10 yrs old (Mary's age now) --- y = x+5 y = 15 yrs old (John's age now) ================================== Cheers, Stan H. ============
 Rational-functions/495004: t^3-6t/t^2-491 solutions Answer 335891 by stanbon(57203)   on 2011-09-10 16:32:40 (Show Source): You can put this solution on YOUR website!t^3-6t/t^2-49 -------------- = [t(t^2-6)] / [(t+7)(t-7) =============================== No common factors, so no canceling. =============================== Cheers, Stan H. =================
 Probability-and-statistics/494762: Hello I;m really confused on this problem...I just dont understand what to do. Im taking statistics online and emailed my teacher 3 days ago on help with question but havent gotten a respond...Help would be grealy appreciated...thanks a lot Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following: A)Ho:u< line underneath 83 and Ha:u>83 a=0.01 B)Ho:u> line underneath 92 and Ha:u<92 a=0.05 C)Ho:u=53 and Ha:u # 53 a=0.10 1 solutions Answer 335807 by stanbon(57203)   on 2011-09-10 08:08:41 (Show Source): You can put this solution on YOUR website!Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following: A)Ho:u< line underneath 83 and Ha:u>83 a=0.01 Right-tail tes with z = z = 2.3263 ========================================== ----- B)Ho:u> line underneath 92 and Ha:u<92 a=0.05 Left-tail test with z = -1.645 ========================================== ----- C)Ho:u=53 and Ha:u # 53 a=0.10 2-tail test with z = +/-1.645 ========================================== Cheers, Stan H. ============
 Linear-equations/494825: I have done simple linear equations, such as 5x + 4 = 34, minus the 4 and divide the 30 with the 5 to get 6, so x = 6. But I am stumped on linear equations that have three on each side. My problem that I would like help on is: (4x - 3 + 2x = 8x - 3 - x). I don't really know where to begin on this one. Any help would be very much appreciated, thank you. If you want to give me an example of how to do this kind of equation, I can figure out how to do this one on my own but I'm having no luck on this many digits.1 solutions Answer 335805 by stanbon(57203)   on 2011-09-10 07:36:27 (Show Source): You can put this solution on YOUR website!4x - 3 + 2x = 8x - 3 - x --- Combine "like" terms: 6x - 3 = 7x - 3 --- Add 3 to both sides: 6x = 7x --- Subtract 6x from both sides: x = 0 ===================== cheers, stan H.
 Probability-and-statistics/494763: A loaf of bread is normally distributed with a mean of22 oz. and a standard deviation of 0.5 oz. a, what is the probability that a loaf is btwn 22.75and 23.00? B, 5% of the loafs will weigh less than_____ ounces? C, assuming 200 loaves are baked on a given day, how many of these will weigh more than 23 ounces? thanks for the help... 1 solutions Answer 335804 by stanbon(57203)   on 2011-09-10 07:09:34 (Show Source): You can put this solution on YOUR website!A loaf of bread is normally distributed with a mean of 22 oz. and a standard deviation of 0.5 oz. a, what is the probability that a loaf is btwn 22.75 and 23.00? z(22.75) = (22.75-22)/0.5 = 0.75/0.5 = 1.5 z(23) = (23-22)/0.5 = 2 ---- P(22.75 < x < 2300) = P(1.5 < z < 2) = 0.0441 -------------------------------------------------------------- B, 5% of the loafs will weigh less than_____ ounces? Find the z-value with a left tail of 5%: z = invNorm(0.05) = -1.645 Find the corresponding x value using x = zs + u x = -1.645*0.5 + 22 = 21.1775 ----------------------------------------------------- C, assuming 200 loaves are baked on a given day, how many of these will weigh more than 23 ounces? z(23) = 2 P(x > 23) = P(z > 2) = 0.0228 Expected # above 23 = 0.0228*200 = 4.55 loaves ===================================================== Cheers, Stan H. ===========
 Probability-and-statistics/494820: ) A bag contains 4 white and 5 black balls. One ball is drawn from the bag and is not replaced, when the second ball is drawn. Find the probability that both balls of the drawing are white.1 solutions Answer 335803 by stanbon(57203)   on 2011-09-10 06:59:35 (Show Source): You can put this solution on YOUR website!A bag contains 4 white and 5 black balls. One ball is drawn from the bag and is not replaced, when the second ball is drawn. Find the probability that both balls of the drawing are white. ----- P(white AND white) = P(white)*P(white|white) = (4/9)*(3/8) = 1/6 ================= Cheers, Stan H. ============
 Probability-and-statistics/494801: I'm struggling to calculate this, stats is one of my subjects (long distance learning), but do not understand it. Could you please show me how to calculate the following: A normal population has a mean of 75 and a standard deviation of 5. A sample of size 40 has been randomly selected. The probability that the sample mean is less than 74 is equal to: 1. 0.4207 2. 0.0020 3. 0.1038 4. 0.0548 5. 0.57931 solutions Answer 335802 by stanbon(57203)   on 2011-09-10 06:56:35 (Show Source): You can put this solution on YOUR website!A normal population has a mean of 75 and a standard deviation of 5. A sample of size 40 has been randomly selected. The probability that the sample mean is less than 74 is equal to: ------------ t(74) = (74-75)/[5/sqrt(40)] = -1.2649 --- P(x-bar < 74) = P(t < -1.2649 when df = 39) = 0.1067 =========================== If you use the z-distribution you would get: P(x-bar < 74) = P(z <-1.2649) = 0.1030 =========================== Cheers, Stan H. ================== 1. 0.4207 2. 0.0020 3. 0.1038 4. 0.0548 5. 0.5793