Question 1 A teacher returns an exam with possible scores ranging from D to 100. The students suspect that the majority of them performed poorly on the exam and request summary statistics. The teacher provides the mean, which was 72, as a summary statistic. A total of 400 students took the exam. The teacher, after several requests, provides a boxplot of the exam scores. The students can get which of the following pieces of information from this plot? the minimum and the maximum the median the ICE 0 All of the answer options are correct. Question Source Mom The Bee Practice of Statistics de Publisher: WH Freeman Question 2 The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, y"=bD+b1xy-"=b[)+b1x, for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Age Bone De nsity Table Copy Data Step1 of 6: Find the estimated slope. Round your answer to three decimal places. Quesstion 3 You havejust been hired as a new management trainee by Earrings Unlimited, a distributor of earring to various retail outlets located in shopping malls across the country. In the past, the company has done very little in the way of budgeting and at certain times of the year has experienced a shortage of cash. Since you are well trained in budgeting, you have decided to prepare comprehensive budgets for the upcoming second quarter in order to show management the benefits that can be gained from an integrated budgeting program. To this end, you have worked with accounting and other areas to gather the information assembled below. The company sells many styles of earrings, but all are sold for the same price- $13 per pair. Actual sales of earrings for the last three months and budgeted sales for the next six months follow {in pairs of earrings}: January {actual}... 20,800 June {budget}... 50,800 February {actual}... 26,800 July {budget}... 30,800 March {actual}... 40,800 August {budget 28,800 April {budget}... 65,800 September {budget} 25,800 May {budget}... 100,800 The concentration of sales before and during May is due to Motherls Day. Sufficient inventory should be on hand at the end of each month to supply 40% of the earrings sold in the following month. Suppliers are paid $7 for a pair of earrings. One-half of a monthIs purchases are paid for in the month of purchase; the other half is paid for in the following month. All sales are on credit, with no discount, and payable within 15 days. The company has found, however, that only 20% of a monthIs sales are collected in the month of sale. An additional 70% is collected in the following month, and the remaining 10% is collected in the second month following sale. Bad debts have been negligible. Monthly operating expenses for the company are given below: Variable: Sales commissions .................. 6% of sales Fixed: Advertising ..................... $199,200 Rent ................................ 17,200 Salaries ........................ 105,200 Utilities ......................... 6,200 Insurance ...................... 2,200 depreciation ................. 13,200 Insurance is paid on an annual basis, in November of each year. The company plans to purchase $15,400 in new equipment during May and $39,200 in new equipment during June; both purchases will be for cash. The company declares dividends of $11,000 each quarter, payable in the first month of the following quarter. A listing of the companyls ledger accounts as of March 31 is given below: Assets Cash ............................................................................. S 130,400 Accounts Receivable($34,840 February sales; $424,320 March Sales} ................................. 459,1600 Inventory ...................................................................... 184,240 Prepaid insurance ......................................................... 21,800 Property and equipment(net} ....................................... 861,200 Total Assets ................................................................. $1,656,800 Liabilities and Stockholders. Equity Accounts Payable ......................................................... $177,800 Dividends Payable ......................................................... 11,000 Capital stock ................................................................. 880,000 Retained Earnings ......................................................... 588,000 'otal liabilities and stockholders? equity $1,656,800 "he company maintains a minimum cash balance of 555,000. All borrowing is done at the beginning of a month; any repayments are made at the end of a month. The company has an agreement with a bank that allows the company to borrowr in increments of $1,000 at the beginning of each month. The interest rate on these loans is 1% per month and for simplicity we will assume that interest is not compounded. At the end of the quarter, the company would pay the bank all of the accumulated interest on the loan and as much of the loan as possible (in increments of $1,000}, while still retaining at least $55,000 in cash. Prepare a master budget for the threemonth period ending June 30. Include the following detailed budgets: Required Prepare a master budget for the threemonth period ending June 30. Include the following detailed budgets: 1. a. A sales budget, by month and in total b. A schedule of expected cash collections from sales, by month and in total. c. A merchandise purchases budget in units and in dollars. Show the budget by month and in total. d. A schedule of expected cash disbursements for merchandise purchases, by month and in total. 2. A cash budget. Show the budget by month and in total. Two villainous professors decide to implement a randomized multiplechoice exam. Each student receives an exam containing 1?" questions each having 4 multiplechoice options. Behind the scenes is a question bank B containing 200 questions. Each question q in the question bank B has a set A, of 10 possible answers, exactly one of which is correct. For each student X, the 17 questions on X's exam are a uniformly random 17element ordered subset of B. For each these questions q, the student is presented with a uniformly random 4element ordered subset of A, that contains the correct answer. a}. If two students X and Y write this exam, what is the probability that X writes exactly the same exam as '1'? [We consider two exams to be exactly the same if they contain the same questions in the same order with the same multiplechoice options for each question, also in the same order.} b}. If two students X and Y write this exam, what is the probability that both exams contain exactly the same 17 questions (possibly in a different order and possibly with different multiplechoice options for each question}? c}. If two students X and '1' write this exam, what is the probability that at least one question on X's exam also appears on Y's exam (possibly with different answers}. Give an exact answer as well as a decimal approximation. d}. EDD students write the exam and student X decides to post the exam on Stack Dverflovur to ask for help during the exam. Student X is not dumb so they post it under a pseudonym X so that they can't be identified. Of course, the professors find the Stack Overflow post. What is the probability that the professors can uniquely identify the student from the posted exam? In other words what is the probability that none of the 499 other students received exactly the same exam as X? Is this probability close to 1 or close to D? Based on the equation Y = 5. 35 + 245.3*X, Sales(Y) is in Units of $1000 and Advertising(X) is in Units of $100. If we want to calculate the value of sales when $31,801 is spent on advertising. What do we use for X in the following equation? (Please keep no decimal for your answer) Your Answer: Answer Question 15 (1 point) Based on the table below, what is the value of R square? (Round your answer to 2 decimal places) ANOVA of SS MS F Regression 3 10.13 1.96 10.712 Residual 146 23.29 0.18 Total 149 Coefficients Standard Error t Stat P-value Intercept 2.28249535 0.47 4.88 0.164989 Exercise 0.25590156 0.08 3.1 5.577E-17 Your Answer:The squared error for period 5 when two period moving average forecast method is used:(Please round to 2 decimals for your answer which looks like 0.52) Absolute MA Absolute Percent Squared X(Time Period) Y(Sales) Forecast Error Error Error Error 3 2 5.9 3 12.0 7.5 5 16.1 12.0Question 5 Based on the below data what will be the value of standard error of the regression model ? (Round you answer to 2 decimal places) ANOVA df Regression Residual Total SS 7.76 24.55 F 10.712 3 146 149 MS 1.96 0.17 Coefficients Standard Errort t Stat P-value Intercept 2.28249535 0.71 3.21 0.164989 Exercise 0.25590156 0.08 3.1 5.577E-17 Question6 Consider the sensitivity report below for the problems which follow. 6 Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$3 x1 0 34 6 7.333333333 10 $C$3 x2 6 0 40 11 11 12 Constraints 13 Final Shadow Constraint Allowable Allowable 14 Cell Name Value Price R.H. Side Increase Decrease 15 $D$10 Extrusion Used 48 48 16 SD$11 Packaging Used 18 11 18 17 SD$12 Additive Used 12 0 16 1E+30 18 a) What is the optimal solution to this linear program? b) What is the range of optimality for X2? c) What is the range of feasibility for Packaging resource? d) Which of the following constraints are binding? e) What is the increase in the objective value if 2 units of extrusion are added? f) What is the increase in the objective value if 2 units of additive are added