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- The table shows the annual compensation of 40 randomly chosen CEOs (millions of dollars). (a) Select the correct histogram for the above data.(b) Describe the shape of the histogram.(c) Identify any unusual values.WFC Average St. Dev. Min 0.65% 10.26% -28.99% Мах 27.51% 25. Based on the table above, what is the probability of losing -7% or more for WFC? A. 0.07 B. 0.14 C. 0,23 D. 0.29 %3D E. 0.31 26. If you have $200,000 invested in WFC, what is the dollar value of VaR of losing -7% or more? A. $14,000 B. $28,000 C. $46,000 D. $58,000 E. $62,000 27. Based on the table above, there is 30% chance that your losses for WFC will be greater than A. -0,30% B. 2.15% C. 4.73% D. 7% E. -14% 28. Based on the table above, there is 30% chance that your dollar losses for WFC will be greater than if you have $200,000 invested in ti? A. -S600 B. $4,300 C. -$9,460 D. -$14,000 E. S28,000A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. HW3 Midterm 6.1 37.359 23 75.37 18.9 73.391 24.9 79.531 21.9 77.961 23.8 78.122 20.6 73.114 22.6 73.494 8.4 46.396 6.6 38.454 10.7 50.433 21 77.99 22.1 76.399 6 41.14 22.4 73.056 14.1 58.879 9.9 48.681 15 58.85 19.3 69.267 18 72.42 Round answers to at least 4 decimal places. a) Calculate the correlation coefficient. r= Perform a hypothesis test to see if the correlation is statistically significant. What is the p-value? b) Find the regression equation y^ = Predict the exam score for a student that scored 26.9 on their third homework assignment. c) Interpret the slope coefficient. For 2.2342 additional points on…
- Because variance divided by the sample size gives you the estimated standard error, as the sample size ______, the estimated standard error will ______. a. increases ; decrease b. decreases ; decrease c. increases ; increase d. decreases ; increase79% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. 1.mean of the binomial distribution= 2.varience of the binomial distribution= 3.standard deviation of the binomial deviation=Select the correct choice (i, ii, or iii) for each a, b, c, d, and fill in any answer boxes in your choice below. (Round to one decimal place as needed.) i. x ≤ ___ % ii. x ≥ ___% iii. ___% ≤ x ≤ ___%
- Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The data are shown below: Number of Pages (xx) Cost(yy) 936 129.68 971 124.23 458 62.54 487 73.31 647 97.11 648 98.24 869 115.97 774 113.62 426 61.38 671 91.23 658 83.54 A student calculates a linear model using technology (Statistics Calculator or Computer)ˆyy^ = xx + . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 583.Cost = $ (Use the linear model with yor rounded coefficients and then round your answer to 2 decimal places.)Does a statistics course improve a student's mathematics skills,as measured by a national test? Suppose a random sample of 13 students takes the same national mathematics exam prior to enrolling in a stats course and just after completing the course. At a 1% level of significance determine whether the scores after the stats course are significantly higher than the scores before. Take the differences = before - after. Before After430 465485 475520 535360 410440 425500 505425 450470 480515 520430 430450 460495 500540 530 What type of alternative hypothesis is appropriate for this research question? Locate student 9 in the dataset. What rank will be given to this student? What is the value of the test statistic, T? Give answer to 1 decimal place What is the critical value for the study? (Hint: student 10 will be dropped from the analysis, since the scores are the same before and after the stats…coffee extraction One student dissolved 20mg of caffeine in 20mL of water. The student carried out two extractions using 20mL of dichloromethane in each. Caffeine solubility in water: 2.17g / 100mL at 25C Caffeine solubility in dichloromethane: 10.0g / 100mL at 25C a. Determine the distribution coefficient. b. Determine the amount of caffeine obtained in the first extraction. c. Determine the amount of caffeine obtained in the second extraction. d. Determine the total amount of caffeine extracted during the entire process. e. Determine the percent recovery.