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)

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)

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Description: 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 th

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Matrices And Determinants

Section7.2: Operations With Matrices

Problem 12ECP

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In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts c) through d) below.
In a section of an English 201 class, the professor decides to be "generous" with the students and will grade the exam in a unique way. Grades will be assigned according to the follwing rule: the top receives A's, the next 20% receive B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Some may refer to this as "curving" The 40 grades were as follows: 30, 53, 88, 69, 77, 57, 58, 43, 63, 51, 69, 88, 86, 84, 50, 83, 91, 76, 57, 90, 45, 79, 41, 80, 62, 66, 71, 58, 92, 85, 57, 74, 63, 60, 99, 85, 70, 93, 67, 53 Do you think ths method of grading is fair to all students? Explain your answer 2. Under what circumstances would some students NOT like this method of grading? 3. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D 4. After doing the previous 3 parts explain the term "grading on a curve" what does it involve? what curve is it referring to?
Below is a scatterplot of the number of home runs versus the number of stolen bases for major league teams in 2009. American League teams are represented by filled circles, and National League teams are represented by open circles. 160 League AL NL 140 120 100 80 80 60 40 20 120 140 160 180 200 220 240 260 HR there is no association for either league. there is a strong positive association for American League teams but a negative association for National League teams. all American League teams hit more home runs and stole more bases than did National League teams. there is a strong negative association for American League teams but a positive association for National League teams. 100 We conclude that:
In a section of an English 201 class, the professor decides to be “generous” with the students and will grade the next exam in a unique way. Grades will be assigned according to the following rule: The top 10% receive A’s, the next 20% receive B’s, the middle 40% receive C’s, the next 20% receive D’s, and the bottom 10% receive F’s. Some may refer to this type of grading as “curving” which gave rise to the phrase, “Professor, do you curve the grades?” (a) Where did the term "curving" come from (b) Which curve is this referring to? (c) What do you think is the purpose of grading exams on a “curve”. Students usually like when professors grade on a curve even though it is likely they do not understand what that involves. (a) Who do you think benefits from grading exams in a curve? Do you think all students will like this method? Explain. Do you think this method of grading is fair to all students? Under what circumstances would some students NOT like this method of grading? Explain.
The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information. Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1 $ 7.00 $ 48.97 5 16 $ 3.30 $ 23.59 2 2 4.50 28.23 4 17 3.50 22.30 2 3 1.00 10.65 1 18 3.25 32.00 2 4 2.40 19.82 3 19 5.40 50.02 4 5 5.00 28.62 3 20 2.25 17.60 3 6 4.25 24.83 2 21 5.50 44.47 4 7 0.50 6.24 1 22 3.00 20.27 2…
The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information. Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1 $ 6.05 $ 73.22 1 16 $ 3.30 $ 23.59 2 2 4.50 28.23 4 17 3.50 22.30 2 3 1.00 10.65 1 18 3.25 32.00 2 4 2.40 19.82 3 19 5.40 50.02 4 5 5.00 28.62 3 20 2.25 17.60 3 6 4.25 24.83 2 21 1.40 41.80 5 7 .50 6.25 1 22 3.00 20.27 2…
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Table: Given a group of students at a local college who have been cross-classified as being a senior or not and a business major or not: Business Major Yes No Senior Yes 24 68 No 17 81 5) Using the table from the previous problem,What is P(Business major | Senior) (Round your answer to three decimal places)
An archery target consists of a gold circle with radius of 5 inches surrounded by a red ring whose diameter is 20 inches. Next, there are three progressively larger rings – blue, black, and white. The diameter of each ring is 10 inches larger than the diameter of the previous ring. John is a beginner so his aim is poor and, if his arrow hits the target, its location on the target is completely at random. John shoots and then yells, “I hit it!” Without using your calculator, find the following probabilities. Write the answers as a percentage. a) The probability his arrow landed in the gold circle is ______. b) The probability his arrow landed in the white area is ______. c) The probability his arrow landed in the red or the blue area is ______.
Showing the details, calculate the following expressions or give reason why they are not defined, when A = 3 1 -3 1 -3 4 2 2 5 u= 2 0 -5 0 B = -4 V = -3 3 4 0-2 2 0
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Part 4: Suppose that 53 of the 55 Computer Science students of San Sebastian College, Manila are taking at least one of the mathematics subjects Algebra, Trigonometry and Calculus. See the figure below for more details: 24 taking Algebra, 26 taking Trigonometry, 20 taking Calculus, 5 taking Algebra and Trigonometry, 7 taking Algebra and Calculus, 8 taking Trigonometry and Calculus. a. Find the number of students who are taking all three mäthematics subjects. b. Fill in the correct number of students in each of the eight regions of the Venn diagram. c. Determine the number of students who are not taking any of the three mathematics subjects? d. How many students are taking Algebra as their only mathematics subject? e. How many students were taking Calculus and Trigonometry but not Algebra?