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自然科學 大學

想問3-9的a跟c

Problems 3-1. Explain the difference between *(a) random and systematic error. (b) constant and proportional error. *(c) absolute and relative error. (d) mean and median. *3-2. Suggest two sources of systematic error and two sources of random error in measuring the length of a 3-m table with a 1-m metal rule. 3-3. Name three types of systematic errors. *3-4. Describe at least three systematic errors that might occur while weighing a solid on an analytical balance. *3-5. Describe at least three ways in which a systematic error might occur while using a pipet to transfer a known volume of liquid. 3-6. Describe how systematic method errors may be detected. *3-7. What kind of systematic errors are detected by varying the sample size? 3-8. A method of analysis yields masses of gold that are low by 0.4 mg. Calculate the percent relative error caused by this result if the mass of gold in the sample is (a) 500 mg. (b) 250 mg. V(c) 125 mg. (d) 60 mg. 3-9. The method described in Problem 3-8 is to be used for the analysis of ores that assay about 1.2% gold. What minimum sample mass should be taken if the relative érror resulting from a 0.4-mg loss is not to exceed *(a) -0.1%? (b) -0.4%? (c) -0.8%? (d) - 1.1%? 3-10. The color change of a chemical indicator requires an overtitration of 0.03 mL. Calculate the error if the total volume of titrant is percent relative (a) 50.00 mL. (c) 25.0 mL. 3-11. A loss of 0.4 mg of Zn occurs in the course of an percent relative analysis for that element. Calculate the error due to this loss if the mass of Zn in the sample is *(b) 10.0 mL. (d) 30.0 mL. 190 (c) 188 (d) 4.52 x 103 4.63 x 103 4.53 x 10 ³ √6 *(a) 30 mg. (b) 100 mg. *(c) 300 mg. (d) 500 mg. 3-12. Find the mean and median of each of the following sets of data. Determine the deviation from the mean for each data point within the sets, and find the mean devi- Vation for each set. Use a spreadsheet if it is convenient. *(a) 0.0110 0.0105 (b) 24.53 0.0104 24.68 24.81 24.77 39.61 862 (f) 850 MA 3-13. Challenge Problem: Richards and W the molar mass of lithium and colle data. 24.73 Experiment 1 2 3 4 5 6 194 447 X 10 7 448 X 107 4.58 X 10 (a) Find the mean molar t workers. (b) Find the median molar ma (c) Assuming that the cam molar mass of lithium is the absolute ertor and of the mean value demi Willard. (d) Find in the chemical ues for the molar mus since 1910, and ag a table or spreadshera 1817 given in the a Richards and Willd. Com mass versus year to la of lithium has chang Suggest possible abruptly about 18 ant de (e) The incredibly deals Richards and W that major changes will occur. Disc calculation in pat (f) What factors ha since 1910? (g) How would you mass? 6See Chapter 2 of Applications of Microsoft Excel in Analytical Chemistry, 4th ed., for information about statistical 7T. W. Richards and H. H. Willard, J. Am. Chem. Soc., 1910, 32, 4, DOI: 10.1021/ja01919a002. built-in statistical functions. "Answers are provided at the end of the book for questions and problems marked with an asterisk The I of ₂ or inc rce of able vas error c often in individu ate resul data in rtainties. dimensio andom e analysts The result

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商業與管理 大學

第二題的更正分錄為什麼是這樣 為什麼會有保留盈餘

【回家練習】台中公司採用定期盤存制,近三年來淨利如下:X7 年$400,000, X8 年$320,000,X9 年$300,000,淨利逐年下降,經查發現以下資料 (1) X7 年期末存貨包括了承銷品$36,000扣 (2) X7 年 12 月 31 日收到一批進貨商品$50,000,故包含於期末盤點中,由於發 入帳 票於X8年1月3日收到,故於1/3 記錄進貨 x7年扣 (3) X8 年 12 月31日客戶訂購商品一批$48,000,當天即開立發票,並認列銷貨 收入,但因商品在X9年1月2日運出,因此 X8 年 12 月31日盤點存貨時, FESORIU 將此商品列入期末存貨之中 扣 (4) X8 年 12 月 31 日起運點銷貨$32,000,成本$24,000,因商品於當日已運出,加 故未包含在期末存貨之中,而於X9 年1月3日開立發票時記錄銷貨收入。 (5) X9 年1 月5日收到一批商品$40,000,經查該商品係 X8 年 12 月 30 日向供 應商購買,約定起運點交貨,供應商於 X8 年 12 月30日將商品交付運送, 故台中公司已於當日記錄進貨,但因商品未到達故未包括在期末存貨之中。 試作: 1. 計算正確淨利 2. X9 年結帳前發現上述錯誤應有之更正分錄 解: 原損益表淨利 調整: (1) (2) (3) (4) (5) 正確淨利 2. 更正分錄 銷貨成本 銷貨收入 保留盈餘 X7 年 $400,000 400 24 481000 存 481000 (36,000) (50,000) 凹 $314,000 X8 年 $320,000 26 $430,000 40,000 现收 321000 36,000 50,000 (48,000) 32,000 40,000 PAR 32,000 16,000 24,000 X9 年 $300,000 48,000 (32,000) (40,000) $276,000 存40000 銷 40000

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工程與科技 大學

請教我這一題這題有點難

5. O 根據表1~表2, (1)請求出管制圖中的R、又 (2)請求出管制上、下界與中心線 (3) 繪出X管制圖 表1 電腦製造過程之觀測值 組別 數據 1 6 10 2 10 3 7 10 4 8 5 9 10 6 12 10 7 16 10 8 7 10 9 9 10 15 16 10 N00 TTTT 3489111571 6 15 11 5 13 13 10 库116116718181 OO oww ON OL 9 NO Olo 4 12 13 WNI 表2 建立計量值管制圖因子 ** 反三均售重 OS R全拒害 警告三 =美的三表 89 三 B1 B2 B3 B4 d2 d3 D1 D2 D3 D4 #min 1.843 0 3.267 1.128 0.853 0 3.686 3.257 A A1 A2 C2 2.121 3.760 1.880 0.5642 3 1.732 2.394 1.023 0.7236 1.500 1.890 0.729 0.7979 1.342 1.596 0.577 0.8407 1.858 0 2.568 1.693 0.888 0 4.358 2.575 loooo 0 1.808 0 2.266 2.059 0.880 4.698 2.282 O 1.756 2.089 2.326 0.864 4.918 2.115 1.225 1.4100483 0.8586 0.026 1.711 0.030 1.970 2.534 0.848 5.078 0 2.004 7 1.134 1.277 0.419 0.8882 0.105 1.672 0.118 1.882 2.704 0.833 0.205 5.203 0.076 1.924 8 1.061 1.175 0.373 0.9027 0.167 1.638 0.185 1.815 2.847 0.820 0.387 5.307 0.136 1.864 9 1.000 1.094 0.337 0.9139 0.210 1.609 0.239 1.761 2.970 0.808 0.546 5.394 0.184 1.816 10 0.949 1.028 0.308 0.9227 0.262 1.584 0.284 1.716 3.078 0.797 0.687 5.469 0.233 1.777 110.905 0.973 0.285 0.9300 0.299 1.561 0.321 1.679 3.173 0.787 0.8125.534 0.256 1.744 120.866 0.925 0.266 0.9359 0.331 1.5410.3541.645 3.258 0.778 0.924 5.592 0.284 1.716 13 0.832 0.884 0.249 0.9410 0.359 1.523 0.382 1.618 3.336 0.770 1.026 5.646 0.308 1.692 14 0.802 0.848 0.285 0.9453 0.3841.507 0.405 1.594 3.407 0.762 1.121 5.693 0.329 1.671 150.775 0.816 0.223 0.9490 0.406 1492 0.428 1.572 3.472 0.755 1.207 5.737 0.348 1.652 16 0.750 0.788 0.2120.9523 0.4271.478 0.448 1.552 3.532 0.749 1.285 5.779 0.364 1.636 170.728 0.762 0.203 0.9551 0.4451.465 0.465 1.5343.588 0.743 1.359 5.817 0.3791.621 180.707 0.738 0.1940.9576 0.461 1.454 0.4821.5183.640 10.738 1.426 5.854 0.392 1.606 190.688 0.717 0.1870.9599 0.4771.443 0.4971503 2.689 0.733 1.49 5.888 0.404 1.596 20 0.671 0.697 0.1800.9619 0.491 1.433 0.510 1.490 3735 0.729 1548 5.922 0.414 1.586 21 0.655 0.679 0.173 0.9638 0.504 1.424 0.523 1.477 3.778 0.724 1.605 5.950 0.425 1.575 22 0.6400 0.662 0.167 0.9655 0.516 1.415 0.534 1.456 3.819 0.720 1.659 5979 0.434 1.586 23 0.525 0.647 0.162 0.9070 0.527 1.427 0.545 1.455 3.885 0.716 1710 6.006 0.443 1.557 24 0.612 0.632 0.157 0.9584 0.538 1.399 0.5551445 3.895 0.712 17596.031 0.452 1.548 25 0.500 0.9190.153 0.9696 0.548 1.392 0.5651.435 3.931 0.709 1 904 6.058 0.459 1.541

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數學與統計 大學

求解第30、31題

演練題(Q&A) 4.機率分配模型 D: P(X> 8) C : 49/12 Ans C Ans c D: 3.5 31 標準常態分配的四分位距(IQR)約為多少? z 27:令為指數分配之隨機變數目變異數ar(X)=4,則平均數 EIN) = ? A:4 E(X)= =12 I # B: 16 C:2 Ans C D: 8 Varlx) = 7 7 7 =4 , 1 - 1 - 2 1.2 28:令X為平均數 ECK)=3 之指數分配隨機變數,則變異數 Var(N) = ? A:3 E(X) = 1 = 3.1= Standard Normal table: probability for PGO <Z <z) 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 | 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.3 0.1179 0.1217 0.12550.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 | 0.2422 10.2454 | 0.2486 0.2517 0.2549 0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 03133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.610.4452 | 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.45910.4599 0.4608 0.4616 0.4625 0.4633 1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 2.0 | 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.2 | 0.4861| 0.4864 10.4868 | 0.487110.48TS | 0.4878 10.4881| 0.4884 0.4887 0.4890 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 2.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 2.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.49710.49720.4973 0.4974 12.9 | 0.4981| 0.4982 | 0.4982 | 0.4983 | 0.4984 | 0.4984 | 0.4985 | 0.4985 | 0.4986 | 0.4986 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 3.3 0.4995 0.1995 0.4995 0.4996 0.4996 0.1996 0.4996 0.4996 0.4996 0.1997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 B:6 C:9 Vaulx) = 2 D:1 Ansc Aie? 29:令X為平均數 EX)=3 之指數分配隨機變數,則機率 PK > 6) = ? -AX 大 tits e B:1-e' -2x Ciel M-3, M = 3 he LLLLLL 3.0 0.4987 3.1 0.4990 # Nah l-e 3.4 0.4997 Die Ans A A:1 B: 1.5 30 : 令X為平均數E(X)=4之指數分配隨機變數,則條件機率 PK >6|Y>2) = ? A: P(X>6) C: 1.34 Pl (x>6) (x > 2)) P(X>6) P( X2) D: 2 B: P(X> 2) 4 4 P(X>2) e C: P(x > 4) Ansc

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