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研究所、轉學考(插大)◆統計學
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110年 - 110長庚大學_碩士班招生考試_資訊管理學系、工商管理學系︰統計學#101193
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21.樣本资料為:82,84,73,84,89,86,87,91。请問下列敘述何者錯誤? (A)第三四分位數(Q3)為88。 (B)數列中沒有極端值(outlier)。 (C) 盒鬚圖(box and whisker plot) 之上限(upperlimit)值為93。 (D)四分位距(interquartile range, IQR)為5。
其他申論題
43. According to Tu Le, from research firm Sino Auto Insights, China is going to gradually stop supporting people on purchasing NEVs in China.
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44. A lack of electrification infrastructure has certainly caused negative effect on people's willingness to purchase electric cars, which is one the reasons why there's a decrease in the sales of NEVs within the first quarter of 2019 in China.
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45. According to this BBC report, although Chinese electric cars are very competitively priced, it's not apple to apple comparison. It's almost impossible for people to see a Chinese electric vehicle running down the our street any time.
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China powers up electric car market By Tim McDonald BBC News, Singapore, 11 January 2019 from BBC business news at https://www.bbc.com/news/business-46745472Outside China, few drivers have heard of brands such asHit BYD or Beijing Automobile Works. But they're two of the largest players in the world's biggest market for electric cars.For a decade, the Chinese government has coaxed buyers and manufacturers into the electric vehicle market through subsidies and other incentives. The numbers suggest the strategy worked: the International Energy Agency says China buys more than half of the world's new electric cars. Now, the government is set to push the burden onto manufacturers, through a new "cap and trade" system and rules that make it harder to set up a factory to make combustion-engine cars. The rules were believed to have come into force on 1 January this year.Small but growing rapidlyChina is both the biggest manufacturer and the biggest market for cars globally. But after two decades of rapid expansion, sales fell in 2018 by 6% to 22.7 million units. The most recent figures show that New Energy Vehicles (NEVs) - a category which includes electric and hybrid models - has defied that trend,growing substantially over the past year. However, the China Association of Automobile Manufacturers (CAAM) says 601,000 NEVs were sold in the first three quarters of 2018, which means they still account only for a small fraction of the market.How do the new rules work?The National Reform and Development Commission has said it won't allow the establishment of newcompanies that only make combustion-engine cars. It has also imposed additional conditions for existing companies that plan to set up a factory for cars that aren't NEVs.New quotas on electric vehicles are also expected to have an impact on manufacturers. Under a new "cap and trade" system, any company that makes 30,000 cars or more needs to earn enough credits to match 10% of its output. So a car company manufacturing the minimum would need to earn 3,000 credits. But not all cars are treated equally. A NEV can receive between two and six credits depending on how far it can travel before being recharged. So if a carmaker makes 30,000 cars, it could hit its quota by manufacturing 1,000 cars with three credits each. Any company that doesn't reach its quota faces a fine, but carmakers that expect to fall short can buy credits from manufacturers which have a surplus. This means carmakers who don't reach their quota directly subsidise manufacturers who do. Analysts say that could be very appealing to overseas manufacturers, which currently make the most efficient NEVs. "If Tesla starts manufacturing in China, they will get the highest credit. If they sell a sufficient number of vehicles, they will be able to sell to other [manufacturers] at a credit," according to Vivek Vaidya, from consultancy Frost and Sullivan.China at the forefrontChina has been aggressively pursuing NEVs, both to cut air pollution and to develop a strong industry. The Chinese government has had subsidies in place for nearly a decade, and these have been supplemented by subsidies from regional governments. In some cities, public transport has also led the way. Shenzhen's fleet of 16,000 buses is now 100% electric and its fleet of taxis is almost completely electric too. In addition to a robust local industry, many global manufacturers are already in the Chinese NEV market, mostly through joint-venture arrangements, including Nissan, Toyota, VW, BMW and Volvo. GM says it's on track to deliver 10 NEVs by 2020 and plans to double that number over the following three years. Tesla has just broken ground on its gigafactory, just outside Shanghai.An end to subsidies? This latest move appears at least partly to be an attempt to wean the market off subsidies. "This law is really to help replace the subsidy the Chinese government offers now on purchasing NEVs in China and pushes that responsibility onto the car manufacturer," according to Tu Le, from research firm Sino Auto Insights. In Beijing and Shanghai, for example, drivers who buy an NEV are currently given a license plate for free, while other drivers have to participate in a lottery in Beijing or an auction in Shanghai. In other Chinese cities, subsidies and rebates are given to buyers who purchase NEVs.Growing pains There are a number of issues that could, at least in the short term, create some difficulties. There have already been reports that China's electric carmakers have taken an initial hit on the stock market over fears about the removal of subsidies. Tu Le says a lack of electrification infrastructure could also weigh on sales and the trade war could be a wild card. "If the trade war is not resolved within the first quarter of 2019, then this could have significant negative effects on the overall sales of cars and customers' willingness to take a chance on new technologies," he said. How will it affect the market for electric cars? Vivek Vaidya expects the new plan to succeed, mostly because manufacturers will have a strong incentive to make more electric and hybrid cars. He also thinks some Chinese market leaders could expand their reach beyond the mainland. But unless you live in a developing market, it's not very likely a Chinese electric vehicle will be driving down your street any time soon. "Chinese vehicles are very competitively priced, but it's not apple to apple comparison. They might not dominate a market like Germany, but they might target Asian markets like India and Indonesia," he said. ****************** ********************* *******************Part 5 : Writing a formal letter of complaint (at least 100 words) Situation: You bought a product (No Stains) for removing stains from clothes last week but, instead of removing the stains from your shirt, it makes them worse, with which you are not satisfied. Now, you wish to write a letter of complaint to the Customer Services department of the company you dealt with. You want a refund and a compensation for your damaged shirt, as you had to get your damaged shirt cleaned by a local laundry, which cost you NT$500 extra. Enclose the two copies of the receipts for your payment of No Stains and laundry cleaning. Write your letter on your Answer Sheet. Do not use your real name for the purpose of the test. Use the following as your address: 12 Main Street, Tai Ji City, Taiwan Tel: 0820 875 322 henry-victor@yahoo.comStart your letter with: Dear Sir/Madam, (Note: Do not write your own addresses as part of your answer. Write in a formal way. Do not use contractions or colloquial expressions. The tone of your letter should be firm but polite.) This is the end of the test
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22.阿浩想了解兩個速食連锁店(A,B)所銷售的漢堡熱量是否有差異·随機選取連鎖店進入購買漢堡·並對每個漢堡的熱量(卡路里数量)進行了測量,經計算後様本資訊如下,而樣本統計量(testvaluc)為-2.91。若以a=0.05進行檢定,請問下列敘述何者正確?(A)非棄卻域(noncritical region)為-1.961,t<1.96(B)檢定之p值(p-value)為0.0174。(C)檢定结果顯示兩個連鎖速食店的漢堡之卡路里數量無顯著差異。(D)檢定結果顯示兩個連鎖速食店的漢堡之卡路里數量有顯著差界
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23.一位汽車銷售员宣稱:敞篷車訂價的變異數高於休旅車。隨機抽取16量敞篷車及24輛休旅車,得其 標准差分别為$6400及4000·若以 a=0.05進行檢定,臨界值(Critical value為2.13,則下列敘述何者錯 誤? (A)p值>0.05; (B)檢定統計量落在棄卻域; (C)檢定結果顯示兩種車款訂價之變異數有著差異; (D)適合採用F檢定。
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24.某生技公司宣稱已開發出能快速篩檢新冠肺炎的新型檢测試劑,該公司表示此試劑之敏感性為90%、 特異性為95%,若民眾感染的比率為 0.3%,假設有20萬人利用此試劑接受檢测,則下列做述何者錯 誤?(敏感性,為真陽性,指罹病者其檢驗结果為陽性之機率:特異性為真陰性,指無病者其檢測结果 確實為陰性的機率。) (A)有受感染而未被檢出者有30位。 (B)檢結果為陽性者共有10510位。 (C)真正罹病者有600位。 (D)未受成染但檢测結果為陽性者共有9970位。
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a.產品售價與销售量之間是否相關?若是,請說明原因及兩者之關係為何?
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b.請問售價與銷售量之迴歸方程式為何?
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c.迴歸方程式可以解釋的變化量為多少百分比?
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