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四格表λ2检验中λ2<λ20.06£¨v£?,可以认为
A、两样本率不同
B、两样本率相同
C、两总体率不同
D、两总体率相同
E、不能确定
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更多 “ 四格表λ2检验中λ2 A、两样本率不同B、两样本率相同C、两总体率不同D、两总体率相同E、不能确定 ” 相关考题
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The IOA Division is also considering whether to undertake an investment in the West of the country (the West Project).An initial cash outlay investment of £12 million will be required and a net cash inflow amounting to £5 million isexpected to arise in each of the four years of the life of the project.The activities involved in the West project will cause the local river to become polluted and discoloured due to thedischarge of waste substances from mining operations.It is estimated that at the end of year four a cash outlay of £2 million would be required to restore the river to itsoriginal colour. This would also clear 90% of the pollution caused as a result of the mining activities of the IOADivision.The remaining 10% of the pollution caused as a result of the mining activities of the IOA Division could be clearedup by a further cash outlay of £2 million.(c) Evaluate the West project and, stating your reasons, comment on whether the board of directors of NCL plcshould spend the further £2 million in order to eliminate the remaining 10% of pollution. (6 marks)(Ignore Taxation).
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(d) The management of Wonderland plc have become concerned about the increased level of operating costsassociated with its petrol-driven ferries and have made a strategic decision to dispose of these. They are nowconsidering entering into a contract with the Newman Steamship Company (NSC), a shipping organisation basedin Robynland. The contract would entail NSC providing transport to and from Cinola Island for all visitors to thezoo and circus.As a result of negotiations with NSC, the directors of Wonderland plc are considering two options whereby NSCwill become responsible for the transportation of visitors to and from Cinola Island with effect from 1 December2007 or 1 December 2008.Additional information is available as follows:(1) NSC would require Wonderland plc to pay for the necessary modifications to their steamships in order thatthey would satisfy marine regulations with regard to passenger transportation. The only firm which couldundertake this work is currently working to full capacity and would require a payment of £2,450,000 inorder to undertake the work necessary so that the ferries could be in operation by 1 December 2007. Thesame firm would require a payment of £1,725,000 in order to make the necessary modifications so thatthe ferries could be in operation by 1 December 2008. The government of Robynland would be willing topay a grant of 8% towards the cost of getting the ferries into operation by 1 December 2007, but would notbe willing to pay a grant in respect of any later date.(2) On 1 December 2002 Wonderland plc paid £500,000 to the Port Licencing Authority of Robynland. Thispayment was for a licence which entitles Wonderland plc to use all harbour facilities in Robynland duringthe five-year period ending 30 November 2007. The licence could be renewed on 1 December 2007 at acost of £150,000 per annum.(3) Redundancy payments would need to be paid in respect of loss of employment. These would amount to£1,200,000 if the contract with NSC commenced on 1 December 2007. This amount would reduce to£750,000 if the contract commenced on 1 December 2008.(4) Wonderland plc has a contract for the provision of petrol for its ferries which is due to expire on 30 November2008. Early termination of the contract would incur a penalty charge of £76,000. An emergency reservestock of petrol held by Wonderland plc, which cannot be used after 30 November 2007 due to marineregulations regarding the age of fuel, could be sold for £55,000 on 1 December 2007 but not on any datethereafter.(5) The ferries could be sold for £3,300,000 on 1 December 2007. If retained after 1 December 2007 theferries would require servicing during the year ending 30 November 2008 which would incur costsamounting to £150,000. The resale value of the ferries on 1 December 2008 would be £2,900,000.(6) Stock of consumable items which originally cost £150,000 could be sold on 1 December 2007 for£110,000 and on 1 December 2008 for £50,000.Required:(i) On purely financial grounds, advise whether the management of Wonderland plc should enter into acontract with NSC with effect from 1 December 2007 or 1 December 2008. You may ignore the timevalue of money. (9 marks)
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4 Assume today’s date is 5 February 2006.Joanne is 37, she was born and until 2005 had lived all her life in Germany. She recently married Fraser, aged 38,who is a UK resident, but who worked briefly in Germany. They have no children.The couple moved to the UK to live permanently on 9 October 2005. Joanne was employed by an American companyin Germany, and she continued to work for them in the UK until the end of November 2005. Her earnings from theAmerican company were £5,000 per month. Joanne has not remitted any of the income she earned in Germany priorto her arrival in the UK.Joanne resigned from her job at the end of November 2005. The company did not hold her to the three months noticestipulated in her contract, but still paid her for that period. In total, Joanne paid £4,200 in UK income tax under PAYEfor the tax tear 2005/06.Joanne also wishes to sell the shares she holds in a German listed company. The shareholding cost the equivalent of£3,500 in September 1986, and its current value is £21,500. She intends to sell the shares in March 2006 and toinvest the proceeds from the sale in the UK. Joanne has made no other capital disposals in the year.Prior to her leaving employment, Joanne investigated the possibility of starting her own business providing a Germantranslation service for UK companies, and took some advice on the matter. She paid consultancy fees of £5,000(excluding value added tax (VAT)) and bought a computer for £2,000 (excluding VAT), both on 23 October 2005.Joanne started trading on 1 December 2005. She made sales of £2,000 in December, and estimates that her saleswill rise by £1,000 every month to a maximum of £7,000 per month. Joanne believes that her monthly expenses of£400 (excluding VAT) will remain constant. Her year end will be 31 March, and the first accounts will be drawn upto 31 March 2006.Although Joanne has registered her business for tax purposes with the Revenue, she has not registered for VAT andis unsure what is required of her in this respect.Required:(a) State, giving reasons, whether Joanne will be treated as resident or non-resident in the UK for the year ofassessment 2005/06, together with the basis on which her income and gains of that year will be subject toUK taxation. (3 marks)
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2 Benny Korere has been employed as the sales director of Golden Tan plc since 1994. He earns an annual salary of£32,000 and is provided with a petrol-driven company car which has a CO2 emission rate of 187g/km and had alist price when new of £22,360. In August 2003, when he was first provided with the car, Benny paid the company£6,100 towards the capital cost of the car. Golden Tan plc does not pay for any of Benny’s private petrol and he isalso required to pay his employer £18 per month as a condition of being able to use the car for private purposes.On 1 December 2006 Golden Tan plc notified Benny that he would be made redundant on 28 February 2007. Onthat day the company will pay him his final month’s salary together with a payment of £8,000 in lieu of the threeremaining months of his six-month notice period in accordance with his employment contract. In addition thecompany will pay him £17,500 in return for agreeing not to work for any of its competitors for the six-month periodending 31 August 2007.On receiving notification of his redundancy, Benny immediately contacted Joe Egmont, the managing director ofSummer Glow plc, who offered him a senior management position leading the company’s expansion into EasternEurope. Summer Glow plc is one of Golden Tan plc’s competitors and one of the most innovative companies in theindustry, although not all of its strategies have been successful.Benny has agreed to join Summer Glow plc on 1 September 2007 for an annual salary of £39,000. On the day hejoins the company, Summer Glow plc will grant him an option to purchase 10,000 ordinary shares in the companyfor £2·20 per share under an unapproved share option scheme. Benny can exercise the option once he has beenemployed for six months but must hold the shares for at least a year before he sells them.The new job will require Benny to spend a considerable amount of time in London. Summer Glow plc has offeredBenny the exclusive use of a flat that the company purchased on 1 June 2003 for £165,000; the flat is currentlyrented out. The flat will be made available from 1 September 2007. The company will pay all of the utility billsrelating to the flat as well as furnishing and maintaining it. Summer Glow plc has also suggested that if Benny wouldrather live in a more central part of the city, the company could sell the existing flat and buy a more centrally locatedone, of the same value, with the proceeds.On 15 March 2007 Benny intends to sell 5,800 shares in Mahana plc, a quoted company, for £24,608. Histransactions in the company’s shares have been as follows:£June 1988 Purchased 8,400 shares 6,744February 1996 Sale of rights nil paid 610January 2005 Purchased 1,300 shares 2,281The sale of rights, nil paid, was not treated as a part disposal of Benny’s holding in Mahana plc.Benny’s shareholding in Mahana plc represents less than 1% of the company’s issued ordinary share capital. He willnot make any other capital disposals in 2006/07.In addition to his employment income, Benny receives rental income of £4,000 (net of deductible expenses) eachyear. He normally submits his tax return in August but he has not yet prepared his return for 2005/06. He expectsto be very busy in December and January and is planning to prepare his tax return in late February 2007.Required:(a) Calculate Benny’s employment income for 2006/07. (4 marks)
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2 Clifford and Amanda, currently aged 54 and 45 respectively, were married on 1 February 1998. Clifford is a higherrate taxpayer who has realised taxable capital gains in 2007/08 in excess of his capital gains tax annual exemption.Clifford moved into Amanda’s house in London on the day they were married. Clifford’s own house in Oxford, wherehe had lived since acquiring it for £129,400 on 1 August 1996, has been empty since that date although he andAmanda have used it when visiting friends. Clifford has been offered £284,950 for the Oxford house and has decidedthat it is time to sell it. The house has a large garden such that Clifford is also considering an offer for the house anda part only of the garden. He would then sell the remainder of the garden at a later date as a building plot. His totalsales proceeds will be higher if he sells the property in this way.Amanda received the following income from quoted investments in 2006/07:£Dividends in respect of quoted trading company shares 1,395Dividends paid by a Real Estate Investment Trust out of tax exempt property income 485On 1 May 2006, Amanda was granted a 22 year lease of a commercial investment property. She paid the landlorda premium of £6,900 and also pays rent of £2,100 per month. On 1 June 2006 Amanda granted a nine yearsub-lease of the property. She received a premium of £14,700 and receives rent of £2,100 per month.On 1 September 2006 Amanda gave quoted shares with a value of £2,200 to a registered charity. She paid broker’sfees of £115 in respect of the gift.Amanda began working for Shearer plc, a quoted company, on 1 June 2006 having had a two year break from hercareer. She earns an annual salary of £38,600 and was paid a bonus of £5,750 in August 2006 for agreeing tocome and work for the company. On 1 August 2006 Amanda was provided with a fully expensed company car,including the provision of private petrol, which had a list price when new of £23,400 and a CO2 emissions rate of187 grams per kilometre. Amanda is required to pay Shearer plc £22 per month in respect of the private use of thecar. In June and July 2006 Amanda used her own car whilst on company business. She drove 720 business milesduring this two month period and was paid 34 pence per mile. Amanda had PAYE of £6,785 deducted from her grosssalary in the tax year 2006/07.After working for Shearer plc for a full year, Amanda becomes entitled to the following additional benefits:– The opportunity to purchase a large number of shares in Shearer plc on 1 July 2007 for £3·30 per share. It isanticipated that the share price on that day will be at least £7·50 per share. The company will make an interestfreeloan to Amanda equal to the cost of the shares to be repaid in two years.– Exclusive free use of the company sailing boat for one week in August 2007. The sailing boat was purchased byShearer plc in January 2005 for use by its senior employees and costs the company £1,400 a week in respectof its crew and other running expenses.Required:(a) (i) Calculate Clifford’s capital gains tax liability for the tax year 2007/08 on the assumption that the Oxfordhouse together with its entire garden is sold on 31 July 2007 for £284,950. Comment on the relevanceto your calculations of the size of the garden; (5 marks)
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5 (a) Carver Ltd was incorporated and began trading in August 2002. It is a close company with no associatedcompanies. It has always prepared accounts to 31 December and will continue to do so in the future.It has been decided that Carver Ltd will sell its business as a going concern to Blade Ltd, an unconnectedcompany, on 31 July 2007. Its premises and goodwill will be sold for £2,135,000 and £290,000 respectivelyand its machinery and equipment for £187,000. The premises, which do not constitute an industrial building,were acquired on 1 August 2002 for £1,808,000 and the goodwill has been generated internally by thecompany. The machinery and equipment cost £294,000; no one item will be sold for more than its original cost.The tax adjusted trading profit of Carver Ltd in 2007, before taking account of both capital allowances and thesale of the business assets, is expected to be £81,000. The balance on the plant and machinery pool for thepurposes of capital allowances as at 31 December 2006 was £231,500. Machinery costing £38,000 waspurchased on 1 March 2007. Carver Ltd is classified as a small company for the purposes of capital allowances.On 1 August 2007, the proceeds from the sale of the business will be invested in either an office building or aportfolio of UK quoted company shares, as follows:Office buildingThe office building would be acquired for £3,100,000; the vendor is not registered for value added tax (VAT).Carver Ltd would borrow the additional funds required from a UK bank. The building is let to a number ofcommercial tenants who are not connected with Carver Ltd and will pay rent, in total, of £54,000 per calendarquarter, in advance, commencing on 1 August 2007. The company’s expenditure for the period from 1 August2007 to 31 December 2007 is expected to be:£Loan interest payable to UK bank 16,000Building maintenance costs 7,500Share portfolioShares would be purchased for the amount of the proceeds from the sale of the business with no need for furtherloan finance. It is estimated that the share portfolio would generate dividends of £36,000 and capital gains, afterindexation allowance, of £10,000 in the period from 1 August 2007 to 31 December 2007.All figures are stated exclusive of value added tax (VAT).Required:(i) Taking account of the proposed sale of the business on 31 July 2007, state with reasons the date(s) onwhich Carver Ltd must submit its corporation tax return(s) for the year ending 31 December 2007.(2 marks)
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6 Sergio and Gerard each inherited a half interest in a property, ‘Hilltop’, in October 2005. ‘Hilltop’ had a probate valueof £124,000, but in November 2005 it was badly damaged by fire. In January 2006 the insurance company madea payment of £81,700 each to Sergio and Gerard. In February 2006 Sergio and Gerard each spent £55,500 of theinsurance proceeds on restoring the property. ‘Hilltop’ was worth £269,000 following the restoration work. In July2006, Sergio and Gerard sold ‘Hilltop’ for £310,000.Sergio is 69 years old and a widower with three adult children and seven grandchildren. His annual income consistsof a pension of £9,900 and interest of £300 on savings of £7,600 in a bank deposit account. Sergio owns his homebut no other significant assets. He plans to buy a domestic rental property with the proceeds from the sale of ‘Hilltop’,such that on his death he will have a significant asset which can be sold and divided between the members of hisfamily.Gerard is 34 years old. He is employed by Fizz plc on a salary of £66,500 per year together with a performancerelated bonus. Gerard estimates that he will receive a bonus in December 2007 of £4,500, in line with previousyears, and that his taxable benefits in the tax year 2007/08 will amount to £7,140. He also expects to receivedividends from UK companies of £1,935 and bank interest of £648 in the tax year 2007/08. Gerard intends to setup a personal pension plan in August 2007. He has not made any pension contributions in the past and proposes touse part of the proceeds from the sale of ‘Hilltop’ to make the maximum possible tax allowable contribution.Fizz plc has announced that it intends to replace the performance related bonus scheme with a share incentive plan,also linked to performance, with effect from 6 April 2008. Gerard estimates that Fizz plc will award him free sharesworth £2,100 each year. He will also purchase partnership shares worth £700 each year and, as a result, will beawarded matching shares (further free shares) worth £1,400.Required:(a) Calculate the chargeable gains arising on the receipt of the insurance proceeds in January 2006 and the saleof ‘Hilltop’ in July 2006. You should assume that any elections necessary to minimise the gain on the receiptof the insurance proceeds have been submitted. (4 marks)
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James died on 22 January 2015. He had made the following gifts during his lifetime:(1) On 9 October 2007, a cash gift of £35,000 to a trust. No lifetime inheritance tax was payable in respect of this gift.(2) On 14 May 2013, a cash gift of £420,000 to his daughter.(3) On 2 August 2013, a gift of a property valued at £260,000 to a trust. No lifetime inheritance tax was payable in respect of this gift because it was covered by the nil rate band. By the time of James’ death on 22 January 2015, the property had increased in value to £310,000.On 22 January 2015, James’ estate was valued at £870,000. Under the terms of his will, James left his entire estate to his children.The nil rate band of James’ wife was fully utilised when she died ten years ago.The nil rate band for the tax year 2007–08 is £300,000, and for the tax year 2013–14 it is £325,000.Required:(a) Calculate the inheritance tax which will be payable as a result of James’ death, and state who will be responsible for paying the tax. (6 marks)(b) Explain why it might have been beneficial for inheritance tax purposes if James had left a portion of his estate to his grandchildren rather than to his children. (2 marks)(c) Explain why it might be advantageous for inheritance tax purposes for a person to make lifetime gifts even when such gifts are made within seven years of death.Notes:1. Your answer should include a calculation of James’ inheritance tax saving from making the gift of property to the trust on 2 August 2013 rather than retaining the property until his death.2. You are not expected to consider lifetime exemptions in this part of the question. (2 marks)
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