Test File - Summer 2018 Exam #1 In exercises #1 - 5, an argument is given. For each exercise, identify one of the logical fallacies that is exhibited in that argument. Explain how the fallacy is involved. 1.) "Show your concern for your children's future by buying a good life insurance policy now!" 2.) "Hair growth precedes the growth of teeth in babies so hair must cause teeth growth." 3.) "'Avatar' must be the best movie of all time since it has the highest box office receipts of all time." 4.) "Only a fool would support the proposed legislation about forest management." 5.) "Do you live in Texas or do you live in Arkansas?" 6.) For each of the following, writing "Yes" if it is a proposition (statement) or "No" if it is not. a.) 3 + 8 = 7 b.) Arkansas is larger than Rhode Island. c.) It's a beautiful day. d.) Bob is 25 years old and Dave's dog is plaid. e.) Grab that fish! f.) Charlie Brown is the president. 7.) Suppose "Gerhard's Combination Motor Oil/Salad Dressing" is on sale at a store in Austria 2.60 shillings per liter. What is the price in dollars per gallon? State your answer to the nearest $0.01 per gallon. 8.) You need to put carpet in a rectangular room that measures 12 feet by 17 feet. At a price of $27.50 per square yard, and assuming that you can buy precisely the amount of carpet you need, how much will the carpet for the room cost? Show the use of units in your work. 9.) Bob is 6 feet tall. What is his height in millimeters? Show the use of units in your work. 10.) Draw a Venn Diagram to illustrate the statement "All baseball players are athletes and some baseball players throw left-handed." 11.) The following Venn diagram illustrates the makeup of a psychology class. "S" denotes "sophomore," "P" denotes "psychology major," and "A" denotes "from Arkansas." "x" and "y" represent particular students. The numbers represent the number of students who fit the categories. a.) How many students are in the class? b.) How many students are psychology majors from Arkansas? c.) What do we know about student "x?" d.) What do we know about student "y?" 12.) What year was it 1,000,000,000 seconds ago? 13.) You are considering buying 15 silver coins that look alike, but you have been told that one of the coins is a lightweight counterfeit. How can you determine the lightweight coin in a maximum of three weighings on a balance scale? (A balance scale just indicates which of two items is heavier.) 14.) You have a four minute hourglass and a five minute hourglass. You need to cook something for exactly seven minutes. Give a detailed explanation of how you would use the two hourglasses to time the seven minutes. (Note: You cannot tell by looking if an hourglass is half empty.) 15.) In your drawer you have 24 blue socks, 5 plaid socks and 18 brown socks. Without looking, you start pulling socks out of the drawer. a.) How many socks must you pull out so that it is certain you have a pair of brown socks? b.) How many socks must you pull out so that it is certain that you have a matching pair of socks? c.) How many socks must you pull out so that it is certain that you have a matching pair of blue or plaid socks? Exam #2 1.) In 2007, Albert Pujols of the St. Louis Cardinals was paid $12,937,813. For 2008, his salary went up 7.2%. For 2009, his salary went up 4%. What was his 2009 salary? 2.) A car was on sale for $11,745. That was 13% off the original price. What was the original price? 3.) Through 2009, Lance Berkman had earned $79,505,000 in his major league baseball career. In 2005, he earned $10,500,000. What percentage of his career earnings did he earn in 2005? 4.) In Bubbaville, 19.4% of the 2500 people own at least two hound dogs. How many of the people in Bubbaville own at least two hound dogs? 5.) A person is interested in finding out the average income of people in Arkansas. In order to do that, he does a survey by asking the annual income of Arkansas residents in line at the Reddie Café in the Garrison Center. Are his results likely to be representative of Arkansas? Why or why not? 6.) a.) Calculate (5 x 10-8) x (4.2 x 1012) without using your calculator. Be careful to show all of your work and express your final answer in scientific notation. b.) Write 0.0000034 in scientific notation. c.) Write 450,000,000 in scientific notation. 7.) Use reasonable estimations to approximate the total number of slices of bread eaten each year by people in Arkansas. 8.) You start putting money in your retirement fund at age 27. You put in $300 each month. The interest of 10.16% is compounded quarterly. a.) Without inserting any numbers, write out the formula that will figure out the amount of money you will have if you retire at age 62. b.) Without doing any simplification, insert all of the numbers into the formula. c.) How much money will you have at age 62? d.) What is the total of all of your payments? 9.) You put $3200 in a certificate of deposit account. It receives 3.25% interest compounded quarterly. You neither take out any money nor put in any more money. a.) Write out the formula that will figure out the amount of money you will have after 3 years without any of the numbers inserted. b.) Write out the formula that will figure out the amount of money you will have after 3 years with all of the numbers inserted. c.) How much money will you have after 3 years? 10.) You are borrowing $120,000 to buy a house. The interest rate for your 30 year mortgage is 6.15%. Throughout the problem we will ignore the escrow payments that would normally be added to the mortgage payment to cover insurance and taxes. a.) Without inserting any numbers, write out the formula that will figure out the amount of your monthly payments. b.) Without doing any simplification, insert all of the numbers into the formula. c.) What will be your monthly payment? d.) What will be the total of all of your monthly payments? e.) How much interest will you pay over the life of the loan? 11.) Bubba is borrowing $14,000 to buy a new four wheeler. The interest rate for his 5 year loan is 4.85%. a.) Without inserting any numbers, write out the formula that will figure out the amount of Bubba's monthly payments. b.) Without doing any simplification, insert all of the numbers into the formula. c.) What will be his monthly payment? d.) What will be the total of all of his monthly payments? e.) How much interest will he pay over the life of the loan? 12.) Mephibosheth started putting money in a college savings account. He wants to have $120,000 in 18 years when his son will be ready for college. The interest rate of 6.95% is compounded quarterly. a.) Without inserting any numbers, write out the formula that will figure out the amount of money Mephibosheth will have to put in the account each quarter. b.) Without doing any simplification, insert all of the numbers into the formula. c.) How much money will he have to pay each quarter? d.) What is the total of all of his payments? 13.) Mrs. McGinty is riding in the back of the RV while Mr. McGinty drives along a very bumpy road. Mrs. McGinty is measuring some material for a sewing project. Unbeknownst to her, her cat chewed off the first two inches of her tape measure. She is also having trouble measuring because of the bumpiness of the ride. Discuss this situation regarding sources of systematic and random error. Exam #3 1.) The following table gives the leaders in triples for the 1913 Detroit Tigers. Draw a bar graph that illustrates the data. Baldy Louden 5 Bobby Veach 10 Del Gainer 8 Donie Bush 10 Paddy Baumann 4 Red McKee 4 Sam Crawford 23 Ty Cobb 16 2.) This chart shows some of the career statistics for Jimmie Foxx. Year Team G AB R H 2B 3B HR RBI AVG OBP SLG 1925 Athletics 10 9 2 6 1 0 0 0 .667 .667 .778 1926 Athletics 26 32 8 10 2 1 0 5 .313 .333 .438 1927 Athletics 61 130 23 42 6 5 3 20 .323 .393 .515 1928 Athletics 118 400 85 131 29 10 13 79 .328 .416 .548 1929 Athletics 149 517 123 183 23 9 33 118 .354 .463 .625 1930 Athletics 153 562 127 188 33 13 37 156 .335 .429 .637 1931 Athletics 139 515 93 150 32 10 30 120 .291 .380 .567 1932 Athletics 154 585 151 213 33 9 58 169 .364 .469 .749 1933 Athletics 149 573 125 204 37 9 48 163 .356 .449 .703 1934 Athletics 150 539 120 180 28 6 44 130 .334 .449 .653 1935 Athletics 147 535 118 185 33 7 36 115 .346 .461 .636 1936 Red Sox 155 585 130 198 32 8 41 143 .338 .440 .631 1937 Red Sox 150 569 111 162 24 6 36 127 .285 .392 .538 1938 Red Sox 149 565 139 197 33 9 50 175 .349 .462 .704 1939 Red Sox 124 467 130 168 31 10 35 105 .360 .464 .694 1940 Red Sox 144 515 106 153 30 4 36 119 .297 .412 .581 1941 Red Sox 135 487 87 146 27 8 19 105 .300 .412 .505 1942 Red Sox/Cubs 100 305 43 69 12 0 8 33 .226 .320 .344 1944 Cubs 15 20 0 1 1 0 0 2 .050 .136 .100 1945 Phillies 89 224 30 60 11 1 7 38 .268 .336 .420 20 Years 2,317 8,134 1,751 2,646 458 125 534 1,922 .325 .428 .609 a.) What was Foxx's highest batting average (denoted AVG)? b.) How many times did Foxx hit more than 50 homers (denoted HR)? In what year(s)? c.) What is the most consecutive years Foxx slugging percentage (denoted SLG) was at least .600? d.) How many home runs did Babe Ruth hit in 1931? 3.) The following chart shows the doubles, triples and home runs for all National Leaguers with at least 10 triples in 1937.