FIRST NAME: (PRINT ABOVE (UNDERNEATH LAST NAME) IN CAPITALS)

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1 ANSWER SHEET FINAL EXAM MATH 111 SPRING 2010 FRIDAY 30 APRIL AM-NOON LAST NAME: (PRINT AT TOP IN LARGE CAPITALS) FIRST NAME: (PRINT ABOVE (UNDERNEATH LAST NAME) IN CAPITALS) CIRCLE LAB DAY: TUESDAY THURSDAY LECTURE HOUR: INSTRUCTOR S NAME: ***** ***** CIRCLE AT MOST ONE LETTER FOR YOUR FINAL ANSWER TO EACH QUESTION ON THIS ANSWER SHEET BELOW 1. A B C D E 13. A B C D E 2. A B C D E 14. A B C D E 3. A B C D E 15. A B C D E 4. A B C D E 16. A B C D E 5. A B C D E 17. A B C D E 6. A B C D E 18. A B C D E 7. A B C D E 19. A B C D E 8. A B C D E 20. A B C D E 9. A B C D E 21. A B C D E 10. A B C D E 22. A B C D E 11. A B C D E 23 A B C D E 12. A B C D E 24 A B C D E 25. A B C D E

2 FINAL EXAM MATH 111 SPRING 2010 FRIDAY 30 APRIL AM-NOON LAST NAME: (PRINT AT TOP OF EACH SHEET IN LARGE CAPITALS) FIRST NAME: (PRINT ABOVE IN CAPITALS) CIRCLE LAB DAY: TUESDAY THURSDAY LECTURE HOUR: INSTRUCTOR S NAME: ***** ***** RULES: You are permitted to have a calculator and writing instruments. No books or notes allowed. Exam is conducted under Tulane honor code; all work is to be your own. Do all work on the backs and sides of this exam; CIRCLE your answers in the indicated spaces AND ON THE ANSWER SHEET PROVIDED (ATTACHED TO THE EXAM). BE SURE TO FILL IN ALL OF THE IDENTIFICATION INFORMATION ASKED FOR CORRECTLY AS DIRECTED AND PRINT YOUR NAME IN LARGE CAPITAL LETTERS ON THE TOP OF EACH PAGE OF THE EXAM AND FILL IN ALL THE IDENTIFICATION INFORMATION REQUIRED ON THE ANSWER SHEET INCLUDING YOUR NAME IN LARGE CAPITAL LETTERS. ANSWERS SHOULD BE CORRECT TO THREE SIGNIFICANT DIGITS. WARNING: Failure to follow the above rules and previous identification directives may result in your receiving a final grade of F for the course.

3 In Alligator Swamp 70 percent of the alligators are over ten feet long. Also, 80 percent of the alligators in Alligator Swamp which are over ten feet long actually weigh over 1000 pounds whereas only 20 percent of those alligators not over ten feet long weigh over 1000 pounds. We receive word that an alligator has been caught in alligator swamp and is being brought to a wildlife laboratory for study. 1. What is the probability that the alligator caught is both over ten feet long and weighs over 1000 pounds? (A).7 (B).8 (C).56 (D).1 (E) NONE OF THESE 2. What is the probability that the alligator caught is exactly ten feet long? (A).7 (B).3 (C).1 (D) 0 (E) NONE OF THESE 3. What is the probability that the alligator caught is under ten feet long? (A).3 (B).2 (C).7 (D).8 (E) NONE OF THESE 4. What is the probability that the alligator caught weighs over 1000 pounds? (A).56 (B).62 (C).06 (D).8 (E) NONE OF THESE 5. What is the probability that the alligator caught is over ten feet long if we already know it weighs over 1000 pounds? (A) OVER.9 (B).8 (C).7 (D).56 (E) NONE OF THESE 6. What is the probability the alligator caught is under ten feet long and weighs under 1000 pounds? (A).24 (B).06 (C).56 (D) UNDER.05 (E) NONE OF THESE

4 A wildlife biologist is studying food consumption in Alligator Swamp alligators. Because of the difficulty in actually measuring how much food an alligator consumes, the biologist is trying to determine the relationship between length and food consumption. Three alligators are chosen at random and their food consumption is carefully monitored for a period of one week. Alligator A is 9 feet long and consumed 30 pounds of food during the week. Alligator B is 11 feet long and consumed 60 pounds of food during the week. Alligator C is 16 feet long and consumed 120 pounds of food during the week. The wildlife biologist will use this sample data to determine the relationship between length and food consumption for Alligator Swamp alligators. 7. What is the sample mean length for the alligators in the sample? (A) 9 (B) 10 (C) 11 (D) 12 (E) NONE OF THESE 8. What is the sample standard deviation for the sample of lengths? (A) 45.8 (B) 37.4 (C) 3.61 (D) 2.94 (E) NONE OF THESE 9. What is the sample correlation coefficient of this data relating length and food consumption? (A) (B) 12.7 (C).999 (D).997 (E) NONE OF THESE 10. Based on the biologist s sample data, the best guess for the amount of food a 14 foot alligator in Alligator Swamp consumed last week (in pounds) is between: (A) 80 and 90 (B) 90 and 100 (C) 100 and 110 (D) 110 and 120 (E) NONE OF THESE 11. Based on the sample correlation coefficient alone, the wildlife biologist should think the relationship between length and food consumption is (A) strong positive (B) strong negative (C) weak positive (D) weak negative (E) NONE OF THESE

5 We are given the opportunity to draw cards from the top of a standard deck of cards (52 cards, 4 suits of thirteen cards each: spades, hearts, diamonds, clubs). We then receive 1 dollar for each club we draw, we receive 5 dollars for each diamond we draw, we receive 10 dollars for each heart we draw, and we receive 20 dollars for each spade we draw. The deck of cards is arranged in a stack and we have no knowledge of which cards are where in the stack. value 12. We should expect the second card from the top of the deck to have the dollar (A) 12 (B) 5 (C) 9 (D) 10 (E) NONE OF THESE 13. The number of spades we expect to find among the top 10 cards in the deck is (A) 2 (B) 2.5 (C) 3 (D) 3.5 (E) NONE OF THESE 14. We should expect the top 10 cards to have total dollar value (A) 90 (B) 100 (C) 110 (D) 120 (E) NONE OF THESE 15. The probability of finding exactly 4 spades among the top 10 cards in the deck is closest to (A) (B).0433 (C).0696 (D).147 (E) NONE OF THESE 16. If we draw 10 cards with replacement, reshuffling after looking at the top card each time, then the standard deviation in the number of spades we see is (A) (B).433 (C) (D) (E) NONE OF THESE

6 Suppose that Albert the Alligator thinks that the weight of wildlife biologists working in Alligator Swamp is normally distributed with mean 180 pounds and standard deviation 20 pounds. 17. If Albert spots a wildlife biologist wading in the swamp, what must Albert think is the chance said biologist weighs between 175 and 200 pounds? (A).296 (B).553 (C).053 (D).440 (E) NONE OF THESE 18. If Albert spots 4 wildlife biologists in a boat, what should Albert think is the chance the total weight of wildlife biologists in the boat is between 710 and 725 pounds? (A).148 (B).533 (C).290 (D).0747 (E) NONE OF THESE Suppose Albert catches and weighs 9 wildlife biologists who work in Alligator Swamp and finds their average weight to be 192 pounds with sample standard deviation 20 pounds. This makes Albert question his prior assumption of the true mean weight of wildlife biologists working in Alligator Swamp but Albert does maintain his belief that the distribution of weight of Alligator Swamp wildlife biologists is normal. 19. What should Albert think is the P-value of his data as evidence against his prior assumption that the true mean weight of wildlife biologists working in Alligator Swamp is exactly equal to 180 pounds, given that he still assumes the population standard deviation in weight of the Alligator Swamp wildlife biologists to be 20 pounds? (A).0359 (B).0719 (C).109 (D).964 (E) NONE OF THESE 20. What should Albert think is the P-value of his data as evidence against his prior assumption that the true mean weight of wildlife biologists working in Alligator Swamp is exactly equal to 180 pounds, given that he also drops his assumption that the population standard deviation in weight of the Alligator Swamp wildlife biologists is 20 pounds and instead uses the sample standard deviation? (A).0359 (B).0719 (C).1096 (D).9645 (E) NONE OF THESE

7 21. What should Albert think is the MARGIN OF ERROR for the 95 percent confidence interval for true mean weight of wildlife biologists using this sample data, given that he drops his assumption that the true mean is 180 but still assumes the weight distribution for the population of wildlife biologists working in Alligator Swamp has standard deviation 20 pounds? (A) (B) (C) (D) (E) NONE OF THESE 22. What should Albert think is the MARGIN OF ERROR for the 95 percent confidence interval for true mean weight of wildlife biologists using this sample data, given that he drops his assumption that the true mean is 180 but also drops his assumption that the population standard deviation in weight of the Alligator Swamp wildlife biologists is 20 pounds and instead uses the sample standard deviation? (A) (B) (C) (D) (E) NONE OF THESE Albert assumes that on average he can find 10 wildlife biologists per square mile in Alligator Swamp, and that the numbers found in non-overlapping regions are independent of each other. 23. What does Albert think is the chance that he will find no more than 7 in an area of half a square mile? (A).867 (B).301 (C).104 (D).128 (E) NONE OF THESE 24. If Albert starts searching for a wildlife biologist, what does he think is the chance he will have to search more than a tenth of a square mile to find one? (A).607 (B) 0.00 (C).497 (D).368 (E) NONE OF THESE 25. If Albert asks 10 wildlife biologists if they like alligator sauce piquant and only 3 say yes, what is the P-value of this as evidence that the true population proportion of wildlife biologists who will admit to Albert that they like alligator sauce piquant is under 40 percent? (A).764 (B).618 (C).519 (D).741 (E) NONE OF THESE