1.) two thousand frequent business travelers are asked which


1.) Two thousand recurlaceration office travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 107 vile Indianapolis best, 454 vile Saint Louis, 1370 vile Chicago, and the balance preferred Milwaukee. Develop a abundance board and a not-absolute abundance board to embody this knowledge. (Round not-absolute abundance to 3 decimal settles.) City Frequency Relative Frequency Indianapolis St. Louis Chicago Milwaukee 2.) In June an investor purchased 350 portion-outs of Oracle (an knowledge technology society) store at $22 per portion-out. In August she purchased an attached 420 portion-outs at $25 per portion-out. In November she purchased an attached 510 portion-outs at $31 per portion-out. What is the weighted average figure per portion-out? (Round your counterpart to 2 decimal settles. Omit the "$" directionalal in your retort.) The weighted average is $ 3. Sally Reynolds sells vericonsultation condition parallel the coastal area of Northern California. Beneath is the aggregate similarity of her errands earned gone 2000. Year Amount (thousands) 2000 $237.51 2001 233.8 2002 206.97 2003 248.14 2004 164.69 2005 292.16 2006 269.11 2007 225.57 2008 255.33 2009 202.67 2010 206.53 Find the average, median, and principle of the errands she earned for the 11 years. (Round your counterparts to 2 decimal settles.) Mean Median Mode 4.The unemployment trounce in the propound of Alaska by month is loving in the board beneath: Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 7.00 7.20 6.60 8.80 7.40 7.60 7.50 8.30 7.10 7.20 7.80 8.60 (a) What is the arithmetic average of the Alaska unemployment trounces? (Round your counterpart to 2 decimal settles.) Arithmetic average (b) Find the median and the principle for the unemployment trounces. (Round your counterparts to 2 decimal settles.) Median Mode 5.) A scantling of the personnel files of prospect employees at the Pawnee dregs of Acme Carpet Cleaners, Inc., biblical that during the conclusive six-month age they departed the forthcoming enumerate of days due to distemper: 5 5 4 4 1 2 0 6 A scantling of prospect employees during the identical age at the Chickpee dregs of Acme Carpets biblical they departed the forthcoming enumerate of days due to distemper. 2 1 0 10 2 2 3 0 (a) Calculate the dispose, average and average disconnections for the Pawnee dregs and the Chickpee dregs.(Round average and average disconnection to 2 decimal settles.) Pawnee location Chickpee location Range Mean Average disconnection (b-1) Based on the scantling deeds, which dregs has fewer departed days? (b-2) Based on the scantling deeds, which dregs has hither diversity? 6. The annual communication of Dennis Industries cited these earliest hues per vile portion-out for the departed 5 years: $2.29, $1.18, $2.22, $4.42, and $3.4. (a) What is the arithmetic average earliest hues per portion-out of vile store? (Round your counterpart to 2 decimal settles.) Arithmetic average (b) What is the discrepancy? (Round your counterpart to 2 decimal settles.) Variance The collocateification of the weights of a scantling of 1,500 merchandise containers is symmetric and bellshaped. (a) According to the Empirical Rule, what percent of the weights gain lie among and ?(Omit the "%" directionalal in your retort.) Percent of the weights % (b) According to the Empirical Rule, what percent of the weights gain lie among and ? (Round your counterpart to 2 decimal settles. Omit the "%" directionalal in your retort.) Percent of the weights % (c) Below ? (Round your counterpart to 2 decimal settles. Omit the "%" directionalal in your retort.) Percent of the weights % 7.) The IRS was careful in the enumerate of separate tax forms compliant by fine accounting resolutes. The IRS vaguely scantlingd 51 national accounting resolutes delay 10 or fewer employees in the DallasFort Worth area. The forthcoming abundance board communications the results of the consider. (Round your counterparts to 2 decimal settles.) Number of Clients Frequency 15 up to 30 2 30 up to 45 13 45 up to 60 23 60 up to 75 8 75 up to 90 5 Mean Plummet disconnection 8. The forthcoming stem-and-leaf chart from the MINITAB software illusions the enumerate of units done per day in a deedory. 1 3 7 1 4 2 5 6 9 6 0133589 7 7 0236788 9 8 56 7 9 00156 2 10 38 (Leave no cells unmitigated, be sure to naught whenever claimd.) (a) How multifarious days were premeditated? (b) How multifarious observations are in the primitive collocate? (c) What are the insufficiency compute and culmination computes? The insufficiency is , the vastst is (d) List the direct computes corresponding to the conclusive two entries in the fourth row. (e) How multifarious computes are there in the succor row? (f) How multifarious computes are hither than 70? (g) How multifarious computes are 80 or over? (i) How multifarious computes are among 60 and 89, embracing? 9. The Thomas Supply Company, Inc. is a distributor of gas-powered generators. As delay any office, the prolixity of occasion customers charm to pay their invoices is great. Listed beneath, stereotyped from fineest to vastst, is the occasion, in days, for a scantling of The Thomas Supply Company, Inc. invoices. 13 13 13 20 26 28 30 33 34 34 35 35 36 37 38 41 41 41 45 46 47 47 49 52 53 55 56 62 67 82 (Round your counterparts to 2 decimal settles.) (a) Determine the primitive and third quartiles. Q1 = Q3 = (b) Determine the succor decile and the prospecth decile. D2 = D8 = (c) Determine the 67th percentile. 10. Listed beneath are the errands earned ($000) conclusive year by the sales representatives at the Furniture Patch, Inc. Assume that this is scantling deeds (i.e., relation a scantling plummet disconnection). 3.9 6.1 7.5 11.2 12.9 13.6 15.3 15.8 16.9 17.4 18.3 22.3 36.5 43.2 82.9 (a) Determine the average, median, and the plummet disconnection. (Round your counterparts to 2 decimal settles.) Mean Median Plummet disconnection (b) Determine the coefficient of skewness using Pearson's process. (Round your counterpart to 3 decimal settles.) Coefficient of skewness (c) Determine the coefficient of skewness using the software process. (Round your counterpart to 2 decimal settles.) Coefficient of skewness 11. The events and are mutually restricted. Suppose and (a) What is the verisimilitude of either or occuring? (Round your counterpart to 2 decimal settles.) Verisimilitude of either or (b) What is the verisimilitude that neither nor gain occur? (Round your counterpart to 2 decimal settles.) Verisimilitude of neither nor 12. A consider of 203 advertising resolutes biblical their proceeds forthcoming taxes: Proceeds forthcoming Taxes Number of Firms Beneath $1 pet 106 $1 pet to $20 pet 51 $20 pet or over 46 (a) What is the verisimilitude an advertising resolute clarified at vague has beneath $1 pet in proceeds forthcoming taxes? (Round your counterpart to 2 decimal settles.) Probability (b-1) What is the verisimilitude an advertising resolute clarified at vague has either an proceeds among $1 pet and $20 pet, or an proceeds of $20 pet or over? (Round your counterpart to 2 decimal settles.) Probability (b-2) What government of verisimilitude could be applied? Government of Probability 13. A scholar is preamble two plans, deed and math. The verisimilitude the scholar gain ignoring the deed plan is .59, and the verisimilitude of ignoringing the math plan is .74. The verisimilitude of ignoringing twain is .41. What is the verisimilitude of ignoringing at smallest one? (Round your counterpart to 2 decimal settles.) Probability 14. All Seasons Plumbing has two use deals that recurrently deficiency relit. If the verisimilitude the primitive deal is benefitable is .79, the verisimilitude the succor deal is benefitable is .60, and the verisimilitude that twain deals are benefitable is .43: What is the verisimilitude neither deal is benefitable? (Round your counterpart to 2 decimal settles.) Probability 15. The merit portion of Lion’s Portion Store in Anaheim, California, communicationed that 28 percent of their sales are specie or impede, 30 percent are compensated delay a merit card and 42 percent delay a claim card. Twenty percent of the specie or impede purchases, 85 percent of the merit card purchases, and 70 percent of the claim card purchases are for over than $50. Ms. Tina Stevens honorable purchased a new clothing that absorb $120. What is the verisimilitude she compensated specie or impede? (Round your counterpart to 3 decimal settles.) Probability 16. Solve the forthcoming: (a) (b) 9P5 = (c) 9C6 = 17. An overnight direct society must grasp seven cities on its course. How multifarious divergent courses are potential, stately that it matters in which command the cities are graspd in the routing? Enumerate of divergent courses 18.) The master of admissions at Kinzua University in Nova Scotia honord the collocateification of scholar admissions for the descend semester on the premise of departed experiment. Admissions Probability 1,080 0.6 1,440 0.1 1,640 0.3 (1) What is the expected enumerate of admissions for the descend semester? Expected enumerate of admissions (2) Compute the discrepancy and the plummet disconnection of the enumerate of admissions. (Round your plummet disconnection to 2 decimal settles.) Variance Plummet disconnection 19. The Downtown Parking Authority of Tampa, Florida, communicationed the forthcoming knowledge for a scantling of 228 customers on the enumerate of hours cars are parked and the similarity they are teeming. Number of Hours Frequency Amount Charged 1 15 $ 3 2 35 6 3 47 11 4 40 16 5 35 22 6 17 25 7 6 27 8 33 29 228 (a) Convert the knowledge on the enumerate of hours parked to a verisimilitude collocateification. (Round your counterparts to 3 decimal settles.) Hours Probability 1 2 3 4 5 6 7 8 (b-1) Find the average and the plummet disconnection of the enumerate of hours parked. (Round your moderate computes and conclusive counterparts to 3 decimal settles.) Mean Plummet disconnection (b-2) How desire is a natural customer parked? (Round your counterpart to 3 decimal settles.) The natural customer is parked for hours (c) Find the average and the plummet disconnection of the similarity teeming. (Round your moderate computes and conclusive counterparts to 3 decimal settles.) Mean Plummet disconnection 20. In a binomial condition, n = 7 and .20. Designate the probabilities of the forthcoming events using the binomial formula. (Round your counterparts to 4 decimal settles.) (a) x = 5 Probability (b) x = 6 Probability 21. Industry plummets hint that 8 percent of new vehicles claim assurance use delayin the primitive year. Jones Nissan in Sumter, South Carolina, sold 10 Nissans yesterday. (Round your Average counterpart to 2 decimal settles and the other counterparts to 4 decimal settles.) (a) What is the verisimilitude that none of these vehicles claims assurance use? Probability (b) What is the verisimilitude accurately one of these vehicles claims assurance use? Probability (c) Determine the verisimilitude that accurately two of these vehicles claim assurance use. Probability (d) Compute the average and plummet disconnection of this verisimilitude collocateification. Average µ Plummet disconnection σ 22. In a binomial collocateification, and . Confront the probabilities of the forthcoming events. (Round your counterparts to 4 decimal settles.) (a) Probability (b) Probability (c) Probability 23. Keith’s Florists has 16 gift deals, used principally to set free acmes and acme arrangements in the Greenville, South Carolina, area. Of these 16 deals, 8 keep entanglement heights. A scantling of 5 deals is vaguely clarified. What is the verisimilitude that 2 of those tested keep insufficient entanglements? (Round your counterpart to 4 decimal settles.) Probability 24. The frolic designated Lotto sponsored by the Louisiana Lottery Errand pays its vastst honors when a contestant matches all 7 of the 36 potential enumerates. Assume there are 36 ping-pong balls each delay a unique enumerate among 1 and 36. Any enumerate shows solely uninterruptedly, and the engaging balls are clarified delayout retrieval. (a) The errand communications that the verisimilitude of matching all the enumerates are 1 in 8,347,680. What is this in conditions of verisimilitude? (Round your counterpart to 8 decimal settles.) Probability (b) Use the hypergeometric formula to confront this verisimilitude. The lottery errand so pays if a contestant matches 5 or 6 of the 7 engaging enumerates. Hint: Divide the 36 enumerates into two groups, engaging enumerates and nonengaging enumerates. (Round your counterpart to 8 decimal settles.) Probability (c) Find the verisimilitude, anew using the hypergeometric formula, for matching 5 of the 7 engaging enumerates.(Round your counterpart to 8 decimal settles.) Probability (d) Find the verisimilitude of matching 6 of the 7 engaging enumerates. (Round your counterpart to 8 decimal settles.) Probability 25. n a Poisson collocateification, . (Round your counterparts to 4 decimal settles.) (a) What is the verisimilitude that ? Probability (b) What is the verisimilitude that ? Probability 26. It is honord that .48 percent of the flatterers to the Customer Use portion of Dell Inc. gain hold a industrious directionalal. What is the verisimilitude that of today's 1,400 flatterers at smallest 5 holdd a industrious directionalal? Use the poisson admission to the binomial. (Round your counterpart to 4 decimal settles.) Probability 27. Assume a binomial verisimilitude collocateification delay and . Compute the forthcoming: (Round all zvalues to 2 decimal settles.) (a) The average and plummet disconnection of the vague capricious. (Round your "σ" to 4 decimal settles and average to 1 decimal settle.) μ σ (b) The verisimilitude that X is 20 or over. (Use the completeed computes build over. Complete your counterpart to 4 decimal settles.) Probability (c) The verisimilitude that X is 16 or hither. (Use the completeed computes build over. Complete your counterpart to 4 decimal settles.) Probability 28. For the most novel year benefitable, the average annual absorb to consort a not-public university in the United States was $20,332. Assume the collocateification of annual absorbs prospers the ordinary verisimilitude collocateification and the plummet disconnection is $4,250. Ninety-nine percent of all scholars at not-public universities pay hither than what similarity? (Round z compute to 2 decimal settles and your conclusive counterpart to the direct undivided enumerate. Omit the "$" directionalal in your retort.) Amount $ 29. Assume that the average hourly absorb to opetrounce a interchangeable airplane prospers the ordinary collocateification delay a average of $2,050 per hour and a plummet disconnection of $195. What is the bounteous absorb for the balanceest 4 percent of the airplanes? (Round z compute to 2 decimal settles. Omit the "$" directionalal in your retort.) Bounteous absorb $ 30. The enumerate of viewers of American Idol has a average of 32 pet delay a plummet disconnection of 4 pet. Assume this collocateification prospers a ordinary collocateification. What is the verisimilitude that direct week's illusion gain: (a) Have among 36 and 43 pet viewers? (Round z-score calculation to 2 decimal settles and your conclusive counterpart to 4 decimal settles.) Probability (b) Have at smallest 29 pet viewers? (Round z-score calculation to 2 decimal settles and your conclusive counterpart to 4 decimal settles.) Probability (c) Exceed 47 pet viewers? (Round z-score calculation to 2 decimal settles and your conclusive counterpart to 4 decimal settles.) Probability 31. A ordinary population has a average of 22 and a plummet disconnection of 5. (a) Compute the z compute associated delay 25 (Round your counterpart to 2 decimal settles.) Z (b) What relation of the population is among 22 and 25? (Round z-score calculation to 2 decimal settles and your conclusive counterpart to 4 decimal settles.) Proportion (c) What relation of the population is hither than 18? (Round z-score calculation to 2 decimal settles and your conclusive counterpart to 4 decimal settles.) Proportion 32. The average of a ordinary verisimilitude collocateification is 360; the plummet disconnection is 10. (a) About 68 percent of the observations lie among what two computes? Compute 1 Compute 2 (b) About 95 percent of the observations lie among what two computes? Compute 1 Compute 2 (c) Practically all of the observations lie among what two computes? Compute 1 Compute 2 33. Customers experiencing technical difficulty delay their internet cable hookup may flatter an 800 enumerate for technical prop. It charms the technician among 30 succors to 15 minutes to contravene the height. The collocateification of this prop occasion prospers the unvarying collocateification. (a) What are the computes for a and b in minutes? (Do not complete your moderate calculations. Complete your counterpart to 1 decimal settle.) a b (b-1) What is the average occasion to contravene the height? (Do not complete your moderate calculations. Complete your counterpart to 2 decimal settles.) Mean (b-2) What is the plummet disconnection of the occasion? (Do not complete your moderate calculations. Complete your counterpart to 2 decimal settles.) Plummet disconnection (c) What percent of the heights charm over than 5 minutes to contravene? (Do not complete your moderate calculations. Complete your counterpart to 2 decimal settles. Omit the "%" directionalal in your retort.) Percent % (d) Suppose we aim to confront the interjacent 50 percent of the height-solving occasions. What are the end objects of these two occasions? (Do not complete your moderate calculations. Complete your counterparts to 3 decimal settles.) End object 1 End object 2 34. The delaydrawal figure of Schnur Sporting Goods Inc. vile store is unvaryingly exclusive among $22 and 36 per portion-out. What is the verisimilitude that the store figure gain be: (a) More than $29? (Round your counterpart to 4 decimal settles.) Probability (b) Less than or similar to $27? (Round your counterpart to 4 decimal settles.) Probability 35. A view is substance calculated to designate the average similarity of occasion fortification executives wait television. A direct view implied that the average occasion per week is 13 hours, delay a plummet disconnection of 2.0 hours. It is desired to honor the average viewing occasion delayin one-quarter hour. The 90 percent equalize of faith is to be used. How multifarious executives should be viewed? (Round up your counterpart to the direct undivided enumerate.) Enumerate of executives 36. A population is honord to keep a plummet disconnection of 8. We neglect to honor the population average delayin 2, delay a 90 percent equalize of faith. How vast a scantling is claimd? (Round up your counterpart to the direct undivided enumerate.) Scantling claimd is . 37 The Fox TV network is regarding replacing one of its prime-occasion offense study illusions delay a new family-oriented comedy illusion. Before a conclusive firmness is made, network executives errand a scantling of 380 viewers. Forthcoming viewing the comedy, 200 implied they would wait the new illusion and hinted it resettle the offense study illusion. (a) Honor the compute of the population relation. (Round your counterpart to 3 decimal settles.) Estimated population relation (b) Develop a 95 percent faith period for the population relation. (Round your counterparts to 3 decimal settles.) The faith period is among and . 38. The U.S. Dairy Industry neglects to honor the average per-annum fix waste. A scantling of 29 persons reveals the average per-annum waste to be 55 gallons delay a plummet disconnection of 22 gallons. (a-1) What is the compute of the population average? Population average (a-2) What is the best honor of this compute? Honor population average (c) For a 90 percent faith period, what is the compute of t? (Round your counterpart to 3 decimal settles.) Compute of t (d) Develop the 90 percent faith period for the population average. (Round your counterparts to 3 decimal settles.) Faith period for the population average is and . (e) Would it be unexcited to deduce that the population average is 52 gallons? 39. Bob Nale is the proprietor of Nale's Quick Fill. Bob would approve to honor the average enumerate of gallons of gasoline sold to his customers. Assume the enumerate of gallons sold prospers the ordinary collocateification delay a population plummet disconnection of 2 gallons. From his records, he chosens a vague scantling of 63 sales and confronts the average enumerate of gallons sold is 8.59. (Round your counterparts to 2 decimal settles.) (a) The object honor of the population average is (b) The 95 percent faith period for the population average is among and . 40 A scantling of 10 observations is clarified from a ordinary population for which the population plummet disconnection is known to be 4. The scantling average is 20. (Round your counterparts to 3 decimal settles.) (a) The plummet mistake of the average is . (c) The 99 percent faith period for the population average is among and . 41. The laceration for a one-bedroom room in Southern California prospers the ordinary collocateification delay a average of $2,200 per month and a plummet disconnection of $290 per month. The collocateification of the monthly absorbs does not prosper the ordinary collocateification. In deed, it is positively skewed. What is the verisimilitude of chosening a scantling of 70 one-bedroom rooms and confronting the average to be at smallest $2,100 per month? (Round z compute to 2 decimal settles and conclusive counterpart to 4 decimal settles.) Probability 42. A ordinary population has a average of 57 and a plummet disconnection of 14. You chosen a vague scantling of 16. Compute the verisimilitude the scantling average is (Round z computes to 2 decimal settles and conclusive counterparts to 4 decimal settles): (a) Greater than 60. Probability (b) Less than 56. Probability (c) Between 56 and 60. Probability 43. Listed beneath are the 35 members of the Metro Toledo Automobile Dealers Association. We would approve to honor the average proceeds from trafficker use portions. (a) We neglect to chosen a vague scantling of five traffickers. The vague enumerates are: 19, 78, 28, 34, 32, 37, 45, 48, 79, 89, 11 and 45. Which traffickers would be graspd in the scantling? (Enter the enumerates as they show.) (c) A scantling is to halt of every sixth trafficker. The enumerate 8 is clarified as the starting object. Which traffickers are graspd in the scantling?