You are given: (i) Losses follow an exponential distribution with mean 0. (ii) A random sample of losses is distributed as follows: Loss Range Number of Losses (0 – 100] 32 (100 – 200] 21 (200 – 400] 27 (400 – 750] 16 (750 – 1000] 2 (1000 – 1500] Total 100 Estimate 0 by matching at the 80th percentile. (A) 249 (B) 253 (C) 257 (D) 260 (E) 263
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- Find the standard score (z) shown on each of the following diagrams. (Use Appendix B as necessary.) (a) (b) (c) 000 a. 0.7673 0 Z b. c. 0.7190 An 0.1515, z 0 You may need to use the appropriate table in Appendix B to answer this question. Z(a)The following table shows the amount of melted plastic (in grams) at various temperatures of the plastic (in Celsius). Temperature (Celcius) 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Melted Plastic (in grams) 8.1 7.8 8.5 9.8 9.5 8.9 8.6 10.2 9.3 9.2 10.5 (I)Find the linear regression equation of the amount of melted plastic temperature. (ii)Estimate the amount of melted plastic at temperature 1.75 Celcius. (iii)Calculate the coefficient of correlation and comment on the relationship between temperature and amount of melted plastic. (iv)Calculate the Spearman’s rank correlation coefficient for the above data. (b)A random sample of twelve students were chosen, and their midterm test score ( y), assignment score (x1), and missed classes (x2) were…State Per Capita Personal Income ($) Birth Rate Delaware 28,493 13.9 Maryland 28,674 13.0 District of Columbia 35,704 15.7 Virginia 26,109 13.2 18,724 11.3 West Virginia 14.2 23.168 North Carolina 13.6 20,508 South Carolina 15.8 23,822 Georgia 13.1 24,799 Florida (a) The Ts(in 3 significant figures) for the given data is equal to Blank 1. (b) The typre of relation (negative, positve, or no relation) that exist between per capita personal income and birt rate is Blank 2
- In the book Business Research Methods (5th ed.). Donald R. Cooper and C. William Emory discuss studying the relationship between on-the-job accidents and smoking. Cooper and Emory describe the study as follows: Suppose a manager implementing a smoke-free workplace policy is interested in whether smoking affects worker accidents. Since the company has complete reports of on-the-job accidents, she draws a sample of names of workers who were involved in accidents during the last year. A similar sample from among workers who had no reported accidents in the last year is drawn. She interviews members of both groups to determine if they are smokers or not. The sample results are given in the following table. On-the-Job No 7 Smoker Heavy Moderate Nonsmoker 16 Column total 34 Heavy Moderate Yes Nonsmoker Total 12 6 Expected counts are below observed counts No Accident Total 19 7 9.21 9 Row 1 Row 2 Row 3 Column 1 Column 2 16 32 Accident 12 9.79 6 Accident Row Total 7.27 16 15.52 32 7.73 16…= 4 10 A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 12% of all applications were from minority members, and exactly 10% of the 1650 open positions were filled by members of the minority. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of minority member applications in a random sample of 1650 that is drawn from all applications. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.1), which is the probability that there will be 10% or fewer minority member applications in a random sample of 1650 drawn from all applications. Round your answer to four decimal places.7h. A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. CurrentYear PreviousYear 345 315 526 451 420 450 216 206 285 263 405 432 635 585 710 650 605 545 517 547 570 496 610 580 Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value =
- From the data in the table it shows the 2019 daily return data for the S&P 500 Index (stocks) and the US 30 year Bond (bonds). How do I test the hypothesis that mean daily return on stocks exceeds the mean daily return on bonds? Please show the steps. S&P500 dailt returns data: Date Price Daily Return 2019-12-31 3230.78 0.294602% 2019-12-30 3221.29 -0.578082% 2019-12-27 3240.02 0.003398% 2019-12-26 3239.91 0.512817% 2019-12-24 3223.38 -0.019545% 2019-12-23 3224.01 0.086614% 2019-12-20 3221.22 0.494478% 2019-12-19 3205.37 0.445929% 2019-12-18 3191.14 -0.043230% 2019-12-17 3192.52 0.033529% US 30 Year Bond Date Price Daily Return 31-Dec-19 2.389 2.32% 30-Dec-19 2.335 0.78% 29-Dec-19 2.317 -0.03% 27-Dec-19 2.318 -0.16% 26-Dec-19 2.321 -0.71% 25-Dec-19 2.338 0.15% 24-Dec-19 2.334 -0.83% 23-Dec-19 2.354 0.31% 22-Dec-19 2.346 0.12% 20-Dec-19 2.344 -0.43%The domestic airfare for business travel for the current year and the previous year was reported. Below is a sample of 12 flights with their domestic airfares shown for both years. t-value=? (up to 3 decimal places) df=?Group A5- 5 86- 1 3 77- 0 1 1 2 5 6 7 8 8 88- 1 2 3 3 3 4 4 5 6 89- 0 2 710- 0 0 Key: 5|5 represents 55 Group B5- 76- 4 87- 1 2 2 5 68- 0 2 4 5 5 5 7 79- 1 3 4 5 6 7 7 8 8 9 910- 0 0 0Key: 5|7 represents 57 1. Calculate the mean, median, range, and interquartile range for each data set. 2. Using the appropriate measures, compare the center and variability of the two groups of students. Explain your reasoning based on the shapes of the distributions.
- In a newspaper poll concerning violence on television, 600 people were asked, "What is your opinion of the amount of violence on prime-time television−is there too much violence on television?" Their responses are indicated in the figure below. Yes (Y) No (N) Don't Know (D) Total Men (M) 162 85 23 270 Women (W) 256 55 19 330 Total 418 140 42 600 Use the data in the table above to find the given probabilities. (Round your answers to four decimal places.) (a)p(N)(b) p(W) (c) p(N | W) (d) p(W | N)(e) p(N ∩ W) What does p(N ∩ W) represent? (f) p(W ∩ N)What does p(W ∩ N) represent?Sales of a particular product for the years 2017 through 2020 have been 390, 455, 432 and 487 respectively. What sales would you predict for 2021 using a weighted moving average with weights of 0.45 for the immediate preceding year and 0.3, 0.15 and 0.1 for the three years before that?