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- In a classic study of problem solving, Duncker (1945) asked participants to mount a candle on a wall in an upright position so that it would burn normally. One group was given a candle, a book of matches, and a box of tacks. A second group was given the same items, except that the tacks and the box were presented separately as two distinct items. The solution to this problem involves using the tacks to mount the box on the wall, creating a shelf for the candle. Duncker reasoned that the first group of participants would have trouble seeing a new function for the box (a shelf) because it was already serving a function (holding tacks). For each participant, the amount of time to solve the problem was recorded. Data similar to Duncker’s are as follows. Time to Solve Problem (in sec.) Box of Tacks Tacks and Box Separate 128 42 160…Major League Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, suppose the probabilities of Atlanta winning each game are as follows.Game 1 2 3 4 5 6 7Probability of Win 0.59 0.56 0.49 0.46 0.47 0.56 0.49Construct a simulation model in which whether Atlanta wins or loses each game is a random variable. Use the model to answer the following questions. (Use at least 1,000 trials.)(a)What is the average number of games played regardless of winner? (Round your answer to one decimal place.) Incorrect:…In Major league Baseball (MLB), the American League baseball teams play their home games with the designated hitter (DH). This rule gives the team the ability to have a batter take the place in the batting order of the pitcher. The league believes that by replacing the pitcher (usually a poor hitter), there will be more hits, more runs and therefore, more interest from fans. (David “Big Papi” Ortiz of the Red Sox is an example of a modern day DH). Below are the average runs scored in the American League and National League home games during the past 14 seasons. American League 11.4 9.9 10.5 9.7 10.4 9.1 10.3 9 10.2 9.0 10 8.9 9.9 8.8 National League 10.5 9.5 10.3 9.4 10 9.1 10 9 9.7 9 9.7 8.9 9.6 8.9 a) Is there evidence to suggest that the DH does lead to increased scoring in the American League? (Name hypothesis, Check conditions, .....etc)
- A company manufacturing CDs is working on a new technology. A random sample of 646 Internet users were asked: "As you may know, some CDs are being manufactured so that you can only make one copy of the CD after you purchase it. Would you buy a CD with this technology, or would you refuse to buy it even if it was one you would normally buy?" Of these users, 59% responded that they would buy the CD. Complete parts a and b below. a) Create a 99% confidence interval for this percentage. ( 54.008 %, 63.993 %) (Round to three decimal places as needed. Use ascending order.) b) If the company wants to cut the margin of error by two thirds, how many users must they survey? The company must survey a total of (Type a whole number.) usersSolve 1, 2, and 3. Show reasoning and explian calculations and the topics.Suppose you are a basketball coach and you've taken some measures on your starting five players. The two measures that you're most interested in right now are scores on a two-minute jump shot test (x) and time in seconds on a shuttle run (y). You want to determine a couple of things:1) On which variable (jump shots or shuttle run time) are your starters more consistent? 2) For player #1, is she a faster runner or better at jump shots? 3) For player #4, is she a faster runner or better at jump shots? Player # Jump shot score (x) Shuttle run time (y) 1 17 37 2 20 45 3 4 59 4 34 48 5 22 42
- Major League Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, suppose the probabilities of Atlanta winning each game are as follows. Game 1 2 games 3 4 5 6 7 Probability of Win 0.59 0.56 0.49 0.44 0.47 0.56 0.51 Construct a simulation model in which whether Atlanta wins or loses each game is a random variable. Use the model to answer the following questions. (Use at least 1,000 trials.) (a) What is the average number of games played regardless of winner? (Round your answer to one decimal place.) (b) What is the probability that the Atlanta Braves win the World Series? (Round your answer to…QUESTION A sales representative for Pinnacle Golf, a manufacturer of golf balls, is attempting to convince the pro shop manager of the Whistling Straits Golf Club to carry their recently introduced new line of golf balls that have a larger distance than any of the existing balls that the shop is currently selling. While the “extra” distance is a feature that should make the balls more attractive, the new balls are more expensive than the current balls. If the company’s claim about the new balls is found to be accurate, then the manager will carry the new line of balls. To test the new balls, the pro shop manager asked the club’s golf pro to hit 100 of the top-selling brand of balls and 100 of the new balls. The distance traveled by both the new and current balls was recorded. For this scenario, which of the following would be the proper set of hypotheses? Use the scenario from above question : The manager ran the following output, none of which might be correct. What should…WeBWork: math-1371-f22: Web X Canvas M Gmail WeBWork MAIN MENU Courses Homework Sets Webwork 10 Problem 6 User Settings Grades webwork.math.umn.edu/webwork2/math-1371-f22/Webwork_10/6/?user=ramku014&key=LAwqbPgVtOzsC71r2QYBiHf72okCEaTh&effectiveUser=ramku014 Schedule Builder -... M Inbox (103) - ramku... Problems Problem 1 Problem 2 ✓ Problem 3 ✓ Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 arch OLE Q Search Answered: function f(x) and inter X + YouTube Maps Welcome to MyU MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork / math-1371-f22/webwork_10 / 6 Webwork 10: Problem 6 Previous Problem Problem List Answer: (1 point) Suppose that 1 ≤ f'(x) ≤ 3 for all values of x. Use the Mean Value Theorem to find values for the inequality below. ≤ f(2) − ƒ(−2) ≤ Note: In order to get credit for this problem all answers must be correct. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited…