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Activity I Activity I Golf Club Design The increased availability of light materials with high strength has revolution- ized the design and manufacture of golf clubs, particularly drivers. Clubs with hollow heads and very thin faces can result in much longer tee shots, especially for players of modest skills. This is due partly to the "spring-like effect" that the thin face imparts to the ball. Firing a golf ball at the head of the club and measuring the ratio of the ball's outgoing velocity to the incoming velocity can quantify this spring-like effect. The ratio of veloci- ties is called the coefficient of restitution of the club. An experiment was performed in which 15 drivers produced by a particular club maker were selected at random and their coefficients of restitution measured. In the experiment, the golf balls were fired from an air cannon so that the incoming velocity and spin rate of the ball could be precisely controlled. It is of interest to determine whether there is evidence (with = 0.05) to support a claim that the mean coefficient of restitution exceeds 0.82. The observations follow: 0.8411 0.8191 0.8182 0.8125 0.8750 0.8580 0.8532 0.8483 0.8276 0.7983 0.8042 0.8730 0.8282 0.8359 0.8660 According to the article in the link below, answer the questions.... According to the article in the link below, answer the questions. Article link: https://media.openlearning.com/ bDYU5OfP6CLjMCLFU6AjwrPxS25QrA8M2bBK Y2YfpDrYJ5JoA5nfEjXBeqg8qpkZ.159965369 9/Through_an_Economic_Lens.pdf 1. Milton Friedman's shareholder primacy has how many versions? 2. "The business judgement rule grants managers discretion to temper business decision with their perception of social values." Explain this statement in 30 words. 3. List 2 conditions that a firm is sustainable to produce public goods. 4. List 2 conditions that a firm is economically feasible to sacrifice profit in the social interest. 5. Name the 5 sources of evidence that firms engaged in CSR. 6. Briefly explain "The opportunity cost of sacrificing profits for more profitable firms is also higher." A distribution center for a chain of electronics supply stores fills and ships orders to retail outlets. A random sample of orders is selected as they are received and the dollar amount of the order (in thousands of dollars) is recorded, and then the time (in hours) required to fill the order and have it ready for shipping is determined. A scatterplot showing the times as the response variable and the dollar amounts (in thousands of dollars) as the predictor shows a linear trend. The least squares regression line is determined to be: y = 0.76 +1.8x. A plot of the residuals versus the dollar amounts showed no pattern, and the following values were reported: Correlation r=0.92; 0.846 Standard deviation of the residuals - 0.48 Which of the following statements is an appropriate interpretation and use of the regression line provided? A. If the dollar amount of an order from one store is $1000 more than the dollar amount of an order from another store, the larger order would be predicted to require 1.8 more hours to prepare than smaller order. B. The units on the slope b = 1.8 are: hours per thousands of dollars. C. The predicted time to prepare an order for shipping that has an absolute dollar amount of $2500 would be 5.26 hours. D. Not all of the residuals computed for the fitted values would be equal to zero. A B OC OD All of (A)-(D) are appropriate. O According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 50 months. A researcher for a consumer advocate group tests this by selecting 60 bulbs at random. For the bulbs in the sample, the mean lifetime is 49 months. It is known that the population standard deviation of the lifetimes is 3 months. Can we conclude, at the 0.10 level of significance, that the population mean lifetime, , of light bulbs made by this manufacturer differs from 49 months?Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below.(a) State the null hypothesis and the alternative hypothesis . (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) (e) Can we conclude that the population mean lifetime of light bulbs made by this manufacturer differs from 49 months? (Linear Systems with Nonsingular Square Matrices). Consider the linear system -321 -3x1 -21 -3x2 +2x3 +2x4 = 1 +22 +3x3 +2x4 = 2 +2x2 +23 +24 = 3 +2x2 +3x3 -24 = -2 2x1 (i) Please accept as a given that the matrix of the system is nonsignular and its inverse matrix is as follows: -1 -3 -3 2 2 7/19 16/19 -28/19 31/19 -5/19 4/19 -3 1 3 2 1/19 -1/19 -1 2 1 1 1/19 3/19 -4/19 4/19 2 2 3 -1, 25/19 -39/19 52/19 5/19 (ii) Use (i) to find the solution of the system (5.1). = (5.1) Match the following descriptions with the type of organism involved. A Predators Extended and lethal interactions with prey o B. Herbivores Short and nonlethal interactions with preyo C. Parasites ! Extended but nonlethal interactions with prey! D. Parasitoids Short but lethal interactions with prey 1. Give an example of substitute pair and an example of complement pair that you have encountered and how a change in prices affected your spending in each case. 2. Give an example of inferior good and an example of normal good that you have encountered and how has change in income affected your spending in each case, when designing a training program, you hsould consider the job market for that career. this info is called write a function that models the distance d from a point on the line y = 5 x - 6 to the point (0,0) (as a function of x). What is the alternate exterior angle of 7? Theo is a director of Rohirrim, a corporation that breeds and trains champion racehorses. Theo accepts an invitation to sit on the board of Shadowfax, a competing firm, though he has not yet completed his term with Rohirrim. Can Theo sit on both boards simultaneously? Why or why not? No, because it is s breach of the business judgment rule Yes, because this is a free country Yes, because the success of capitalism depends on competition between firms No, because it is a breach of Theo's fiduciary duty to Rohirrim The following table presents the manufacturer's suggested retail price (in S1000s) for 2013 base models and styles of BMW automobiles. 50.1 704 55.2 56.7 74.9 55.7 55.2 64.2 39.3 80.6 36.9 108.4 47.8 90.5 47.5 73.6 38.6 47.4 30.8 86.2 60.1 89.2 59.8 68.8 65,0 86,8 140.7 82.4 62.7 53.4 Send data to cel (a) Construct a frequency distribution using a class width of 10, and using 30.0 as the lower class limit for the first class Price (51000) Frequency Part 2 of 2 (b) Construct a frequency histogram from the frequency distribution in part (a). x 16+ 154 14+ 13+ 12+ 114 10+ 8 Frequency 3 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 Price(in thousands of dollars) Create the Unadjusted Trial Balance of ABC Computer Repair Shop for December 2018 using the following balances for each account. Write your answers on your activity sheets/notebook. Accounts Receivable P 10,000.00 250,000.00 Computer Equipment Rent Expense 500.00 Prepaid Rent 3,000.00 Cash 101,150.00 Accounts Payable 2,800.00 Service Income 35,850.00 ABC, Capital 350,000.00 ABC, Drawing 15,000.00 Utilities Expense 5,500.00 Prepaid Insurance 4,000.00 the+risk+free+rate+currently+have+a+return+of+2.5%+and+the+market+risk+premium+is+3.36%.+if+a+firm+has+a+beta+of+1.42,+what+is+its+cost+of+equity? "-80 + 64 lim 1+8 22 150 + 56 In an open economy, trade is allowed between countries. Assume a consumer purchases $1,000 worth of furniture manufactured in China. Answer the following:a. Which component(s) of GDP are impacted by this purchase?b. Does GDP increase, decrease or stay the same? Briefly explain.c. Does your answer change if the company in China is a U.S. owned company? Why? A researcher was interested in examining whether there was a relationship between college student status college student/non-college student) and voting behavior (vote/didn't vote). Two-hundred and twenty participants whose college student status was ascertained (120 college students and 100 non-students) were asked whether they voted in the last presidential election. The enrollment status and voting behavior of the two groups is presented in the table below Which major cities were allied with Sparta? Use the drop down menus below to answer the following questions: There are at least two economic reasons for the government to tax its citizens and use some of that tax revenue to redistribute income: The "Public Good-Free Rider Justification" and the "Social Insurance Justification. In the examples below, match the reasons with the appropriate examples: Charlene has a great job and gets paid well enough to make ends meet and has enough to save. Charlene's job market is recently booming, and she knows it is possible to lose her job at any time if the industry stops booming, where she might be impoverished. This example is............... if f(x) = exg(x), where g(0) = 3 and g'(0) = 1, find f '(0).