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# Understandable Statistics Concepts and Methods 12th Edition by Charles Henry Brase – Test Bank

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Understandable Statistics Concepts and Methods 12th Edition by Charles Henry Brase – Test Bank

Sample Questions

Chapter_2___Organizing_Data

1. Finish times (to the nearest hour) for 10 dogsled teams are shown below.
Find the class width. Use five classes. (Round your answer to the nearest integer.)

 283 343 266 352 348 351 325 364 264 276

 a. 126 b. 22 c. 128 d. 20 e. 21

 ANSWER: d POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.9 – Find the class width NOTES: Application DATE CREATED: 11/4/2013 1:53 AM DATE MODIFIED: 11/4/2013 3:40 AM

2. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a histogram. Use five classes.

 261 269 236 244 280 296 284 299 288 288 249 256 338 360 341 333 261 268 287 296 313 311 306 306 299 303 277 283 304 305 287 290 287 288 297 299 332 330 309 328 306 328 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327 239 358

 a. b. c. d. e.

 ANSWER: c POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.10 – Draw a histogram NOTES: Application DATE CREATED: 11/4/2013 1:53 AM DATE MODIFIED: 3/6/2014 3:00 AM

3. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a histogram. Use five classes.

 261 274 236 244 278 296 284 299 290 290 248 256 338 360 341 333 261 269 287 296 313 311 306 306 299 303 277 283 304 305 286 290 286 287 297 299 332 330 309 328 306 328 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327 302 319

 a. b. c. d. e.

 ANSWER: c POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.10 – Draw a histogram NOTES: Application DATE CREATED: 3/6/2014 2:45 AM DATE MODIFIED: 3/18/2014 8:41 AM

4. Finish times (to the nearest hour) for 57 dogsled teams are shown below. Draw a histogram. Use five classes.

 261 271 236 244 279 296 284 299 289 289 247 256 338 360 341 333 261 266 287 296 313 311 307 307 299 303 277 283 304 305 289 290 289 290 297 299 332 330 309 329 307 329 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327

 a. b. c. d. e.

 ANSWER: c POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.10 – Draw a histogram NOTES: Application DATE CREATED: 3/6/2014 2:45 AM DATE MODIFIED: 3/18/2014 8:42 AM

5. Finish times (to the nearest hour) for 10 dogsled teams are shown below.
Make a frequency table showing class limits, class boundaries, midpoints, frequency, relative frequencies, and cumulative frequencies. Use three classes. (Round your answer for relative frequency to the nearest hundredth and for midpoint to the nearest tenth.)

 308 262 310 268 299 249 257 286 239 278

a.

 Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq. 248.0 3 0.30 3 272.5 3 0.30 6 296.5 4 0.40 10

b.

 Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq. 248.0 3 0.30 3 273.0 3 0.30 6 298.0 4 0.40 10

c.

 Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq. 248.0 4 0.30 3 273.0 5 0.30 6 296.5 5 0.40 10

d.

 Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq. 248.0 4 0.30 3 272.5 5 0.30 6 296.5 5 0.40 10

e. none of these choices

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.11 – Create a frequency table NOTES: Application DATE CREATED: 11/4/2013 1:53 AM DATE MODIFIED: 3/18/2014 7:37 AM

6. Finish times (to the nearest hour) for 57 dogsled teams are shown below. Draw a histogram. Use five classes.

 261 274 236 244 280 296 284 299 287 287 249 256 338 360 341 333 261 266 287 296 313 311 306 306 299 303 277 283 304 305 286 290 286 287 297 299 332 330 309 327 306 327 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327

The frequency table for the above data is given below.

 Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq. 236 – 260 235.5 – 260.5 248 4 0.07 4 261 – 285 260.5 – 285.5 273 9 0.16 13 286 – 310 285.5 – 310.5 298 25 0.44 38 311 – 335 310.5 – 335.5 323 16 0.28 54 336 – 360 335.5 – 360.5 348 3 0.05 57

 a. b. c. d. e.

 ANSWER: e POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.10 – Draw a histogram NOTES: Application DATE CREATED: 11/4/2013 1:53 AM DATE MODIFIED: 3/6/2014 3:05 AM

7. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a histogram. Use five classes.

 261 269 236 244 279 296 284 297 290 290 247 256 338 360 341 333 261 267 287 296 313 311 306 306 299 303 277 283 304 305 287 290 287 288 297 299 332 330 309 326 306 326 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327 302 319

The frequency table for the above data is given below.

 Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq. 236 – 260 235.5 – 260.5 248 4 0.07 4 261 – 285 260.5 – 285.5 273 9 0.15 13 286 – 310 285.5 – 310.5 298 26 0.44 39 311 – 335 310.5 – 335.5 323 17 0.29 56 336 – 360 335.5 – 360.5 348 3 0.05 59

 a. b. c. d. e.

 ANSWER: e POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.10 – Draw a histogram NOTES: Application DATE CREATED: 3/6/2014 2:45 AM DATE MODIFIED: 3/18/2014 8:42 AM

8. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a histogram. Use five classes.

 261 274 236 244 279 296 284 297 288 288 247 256 338 360 341 333 261 269 287 296 313 311 308 308 299 303 277 283 304 305 289 290 289 290 297 299 332 330 309 329 308 329 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327 239 358

The frequency table for the above data is given below.

 Class Limits Boundaries Midpoint Freq. Relative Freq. Cumulative Freq. 236 – 260 235.5 – 260.5 248 5 0.08 5 261 – 285 260.5 – 285.5 273 9 0.15 14 286 – 310 285.5 – 310.5 298 25 0.42 39 311 – 335 310.5 – 335.5 323 16 0.27 55 336 – 360 335.5 – 360.5 348 4 0.07 59

 a. b. c. d. e.

 ANSWER: e POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.10 – Draw a histogram NOTES: Application DATE CREATED: 3/6/2014 2:45 AM DATE MODIFIED: 3/18/2014 8:43 AM

9. Finish times (to the nearest hour) for 57 dogsled teams are shown below. Draw a relative – frequency histogram. Use five classes.

 261 270 236 244 280 296 284 298 289 289 248 256 338 360 341 333 261 267 287 296 313 311 309 309 299 303 277 283 304 305 288 290 288 289 297 299 332 330 309 328 309 328 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327

 a. b. c. d. e.

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.10 – Draw a histogram NOTES: Application DATE CREATED: 11/4/2013 1:53 AM DATE MODIFIED: 3/6/2014 3:13 AM

10. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a relative – frequency histogram. Use five classes.

 261 275 236 244 278 296 284 296 289 289 248 256 338 360 341 333 261 268 287 296 313 311 308 308 299 303 277 283 304 305 286 290 286 287 297 299 332 330 309 326 308 326 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327 239 358

 a. b. c. d. e.

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.10 – Draw a histogram NOTES: Application DATE CREATED: 3/6/2014 2:45 AM DATE MODIFIED: 3/18/2014 8:44 AM

11. Finish times (to the nearest hour) for 59 dogsled teams are shown below. Draw a relative – frequency histogram. Use five classes.

 261 275 236 244 279 296 284 299 287 287 247 256 338 360 341 333 261 268 287 296 313 311 307 307 299 303 277 283 304 305 286 290 286 287 297 299 332 330 309 327 307 327 285 291 295 298 306 315 310 318 318 320 333 321 323 324 327 302 319

 a. b. c. d. e.

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.10 – Draw a histogram NOTES: Application DATE CREATED: 3/6/2014 2:45 AM DATE MODIFIED: 3/18/2014 8:44 AM

12. Finish times (to the nearest hour) for 57 dogsled teams are shown below. Use five classes. Categorize the basic distribution shape as uniform or rectangular, mound-shaped symmetric, bimodal, skewed left, or skewed right.

 a. Skewed left b. Skewed right c. Uniform or rectangular d. Bimodal e. none of these choices

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.12 – Categorize the basic distribution shape NOTES: Application DATE CREATED: 11/4/2013 1:53 AM DATE MODIFIED: 3/6/2014 3:19 AM
Chapter_4___Elementary_Probability_Theory

1. If the probability that an event will happen is 0.27, what is the probability that the event won’t happen?

 a. 0.23 b. 0.63 c. 0.73 d. 0.83 e. 1.73

 ANSWER: c POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multiple Choice HAS VARIABLES: False LEARNING OBJECTIVES: 13.49 – Find the probability of the compliment of an event NOTES: Skill DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/4/2013 7:19 AM

2. If event A is certain to occur, what is P(A)?

 a. 0 b. 0.25 c. 0.5 d. 0.75 e. 1

 ANSWER: e POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multiple Choice HAS VARIABLES: False LEARNING OBJECTIVES: 13.50 – Find the probability of an event certain to occur NOTES: Concept DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/4/2013 7:30 AM

3. A coin is to be tossed 1000 times. What is the probability that the 785th toss is heads?

 a. 0 b. 1/4 c. 1/2 d. 3/4 e. 1

 ANSWER: c POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multiple Choice HAS VARIABLES: False LEARNING OBJECTIVES: 13.51 – Find probability of an independent coin toss NOTES: Concept DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 7:26 AM

4. When do creative people get their good ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information. Assuming that the time interval includes the left limit and all the times up to but not including the right limit, the probability that an inventor has a good idea during each time interval is the following: P(6 A.M.-noon) = 290/966, P(noon-6 P.M.) = 135/966, P(6 P.M.-midnight) = 319/966, P(midnight-6 A.M) = 222/966. State whether the following statement is true or false.
All the outcomes are not equally likely.

 a. False b. True

 ANSWER: b POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multiple Choice HAS VARIABLES: True LEARNING OBJECTIVES: 13.52 – To identify whether the outcome is equally likely or not NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/4/2013 7:53 AM

5. When do creative people get their good ideas? Assume that the survey of 963 inventors gives the following information:

 Time of Day When Good Ideas Occur Time Number of Inventors 6 A.M. – 12 noon 281 12 noon – 6 P.M. 120 6 P.M. – 12 midnight 320 12 midnight – 6 A.M. 242

Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a good idea during the time interval from 6 A.M. to 12 noon. Write your answer as a fraction in simplest form.

 a. b. c. d. e. none of these choices

 ANSWER: c POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.53 – To identify the probability NOTES: Application DATE CREATED: 8/9/2013 10:10 AM DATE MODIFIED: 3/18/2014 7:23 AM

6. Roll a die and count the number of dots on top. State whether the following statement is true or false.
All the outcomes are equally likely.

 a. True b. False

 ANSWER: a POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multiple Choice HAS VARIABLES: True LEARNING OBJECTIVES: 13.52 – To identify whether the outcome is equally likely or not NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 7:30 AM

7. John runs a computer software store. He counted 124 people who walked by his store in a day, 52 of whom came into the store. Of the 52, only 21 bought something in the store. Estimate the probability that a person who walks by the store will enter the store. Round your answer to the nearest hundredth.

 a. 0.59 b. 0.25 c. 0.42 d. 0.17 e. none of these choices

 ANSWER: c POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.54 – To identify the probability of an event given another event NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 7:33 AM

8. John runs a computer software store. He counted 126 people who walked by his store in a day, 52 of whom came into the store. Of the 52, only 27 bought something in the store. Estimate the probability that a person who walks into the store will buy something. Round your answer to the nearest hundredth.

 a. 0.63 b. 0.52 c. 0.21 d. 0.41 e. none of these choices

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.55 – To identify the probability of combination of two outcomes NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/5/2013 1:30 AM

9. John runs a computer software store. He counted 124 people who walked by his store in a day, 50 of whom came into the store. Of the 50, only 24 bought something in the store. Estimate the probability that a person who walks by the store will come in and buy something. Round your answer to the nearest hundredth.

 a. 0.19 b. 0.48 c. 0.14 d. 0.60 e. none of these choices

 ANSWER: a POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.55 – To identify the probability of combination of two outcomes NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 7:35 AM

10. John runs a computer software store. He counted 125 people who walked by his store in a day, 51 of whom came into the store. Of the 51, only 23 bought something in the store. Estimate the probability that a person who comes into the store will buy nothing. Round your answer to the nearest hundredth.

 a. 0.82 b. 0.59 c. 0.22 d. 0.55 e. none of these choices

 ANSWER: d POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.55 – To identify the probability of combination of two outcomes NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/5/2013 1:36 AM

11. You draw two cards from a standard deck of 52 cards and replace the first one before drawing the second. State whether the following statement is true or false.
The outcomes for the two cards are independent.

 a. false b. true

 ANSWER: b POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multiple Choice HAS VARIABLES: True LEARNING OBJECTIVES: 13.56 – To identify whether the outcomes are dependent or independent NOTES: Concept DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 7:37 AM

12. You draw two cards from a standard deck of 52 cards and do not replace the first one before drawing the second. Find the probability of drawing a 7 for the first card and a king for the second card. Round your answer to the nearest thousandth.

 a. 0.006 b. 0.039 c. 0.019 d. 0.155 e. 0.083

 ANSWER: a POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.55 – To identify the probability of combination of two outcomes NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 7:38 AM

13. You draw two cards from a standard deck of 52 cards and replace the first one before drawing the second. Find the probability of drawing a 2 and a 6 in either order. Round your answer to the nearest thousandth.

 a. 0.078 b. 0.012 c. 0.037 d. 0.311 e. 0.069

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.55 – To identify the probability of combination of two outcomes NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/5/2013 2:05 AM

14. Diagnostic tests of medical conditions have several results. The rest result can be positive or negative. A positive test (+) indicates the patient has the condition. A negative test (–) indicates the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 130 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.

 Condition Present Condition Absent Row Total Test Result + 109 21 130 Test Result – 21 49 70 Column Total 130 70 200

Assume that the sample is representative of the entire population. For a person selected at random, find P(getting test result – and condition absent). Round your answer to the nearest hundredth.

 a. 0.70 b. 0.25 c. 0.38 d. 0.35 e. none of these choices

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.53 – To identify the probability NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/5/2013 2:07 AM

15. Diagnostic tests of medical conditions have several results. The rest result can be positive or negative. A positive test (+) indicates the patient has the condition. A negative test (–) indicates the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 137 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.

 Condition Present Condition Absent Row Total Test Result + 119 18 137 Test Result – 18 46 64 Column Total 137 64 201

Assume that the sample is representative of the entire population. For a person selected at random, find P(getting test result – or condition present). Round your answer to the nearest hundredth.

 a. 0.91 b. 0.28 c. 0.09 d. 0.13 e. none of these choices

 ANSWER: a POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.53 – To identify the probability NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/5/2013 2:08 AM

16. Diagnostic tests of medical conditions have several results. The rest result can be positive or negative. A positive test (+) indicates the patient has the condition. A negative test (–) indicates the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 121 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.

 Condition Present Condition Absent Row Total Test Result + 103 18 121 Test Result – 18 51 69 Column Total 121 69 190

Assume that the sample is representative of the entire population. For a person selected at random, find P(Condition present|getting test result +). Round your answer to the nearest hundredth.

 a. 0.15 b. 0.54 c. 0.74 d. 0.85 e. none of these choices

 ANSWER: d POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.53 – To identify the probability NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 7:56 AM

17. Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

 Less Than 1 Year 1 – 2 Years 3 – 4 Years 5 – 9 Years 10 – 14 Years 15 or More Years Row Total East 32 54 59 112 77 118 452 Midwest 31 68 68 120 63 173 523 South 53 92 93 158 106 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008

What is the probability that a customer chosen at random has been loyal from 3 to 4 years given that he or she is from the South? Round your answer to the nearest thousandth.

 a. 0.141 b. 0.046 c. 0.435 d. 0.417 e. none of these choices

 ANSWER: a POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.53 – To identify the probability NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 8:03 AM

18. Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

 Less Than 1 Year 1 – 2 Years 3 – 4 Years 5 – 9 Years 10 – 14 Years 15 or More Years Row Total East 32 54 59 112 77 118 452 Midwest 31 68 68 120 63 173 523 South 53 92 93 158 106 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008

What is the probability that a customer chosen at random is either from the East or from the South? Round your answer to the nearest thousandth.

 a. 0.016 b. 0.074 c. 0.554 d. 0.500 e. none of these choices

 ANSWER: c POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.53 – To identify the probability NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 8:00 AM

19. Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

 Less Than 1 Year 1 – 2 Years 3 – 4 Years 5 – 9 Years 10 – 14 Years 15 or More Years Row Total East 32 54 59 112 77 118 452 Midwest 31 68 68 120 63 173 523 South 53 92 93 158 106 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008

What is the probability that a customer chosen at random is from the East? Round your answer to the nearest thousandth.

 a. 0.071 b. 0.250 c. 0.450 d. 0.225 e. none of these choices

 ANSWER: d POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.53 – To identify the probability NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 8:05 AM

20. Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

 Less Than 1 Year 1 – 2 Years 3 – 4 Years 5 – 9 Years 10 – 14 Years 15 or More Years Row Total East 32 54 59 112 77 118 452 Midwest 31 68 68 120 63 173 523 South 53 92 93 158 106 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008

What is the probability that a customer chosen at random is from the West given that he or she has been loyal from 3 to 4 years? Round your answer to the nearest thousandth.

 a. 0.033 b. 0.233 c. 0.417 d. 0.180 e. none of these choices

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.54 – To identify the probability of an event given another event NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 8:11 AM

21. Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

 Less Than 1 Year 1 – 2 Years 3 – 4 Years 5 – 9 Years 10 – 14 Years 15 or More Years Row Total East 32 54 59 112 77 118 452 Midwest 31 68 68 120 63 173 523 South 53 92 93 158 106 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008

What is the probability that a customer chosen at random is from the East given that he or she has been loyal from 10 to 14 years? Round your answer to the nearest thousandth.

 a. 0.038 b. 0.170 c. 0.265 d. 0.417 e. none of these choices

 ANSWER: c POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.54 – To identify the probability of an event given another event NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 8:16 AM

22. Are customers more loyal in the East or in the West? The following table is based on information from Trends in the United Sates, published by the food marketing Institute, Washington, D.C. The columns represent loyalty (in years) at a primary supermarket. The rows represent regions of the United States.

 Less Than 1 Year 1 – 2 Years 3 – 4 Years 5 – 9 Years 10 – 14 Years 15 or More Years Row Total East 32 54 59 112 77 118 452 Midwest 31 68 68 120 63 173 523 South 53 92 93 158 106 158 660 West 41 56 67 78 45 86 373 Column Total 157 270 287 468 291 535 2008

What is the probability that a customer chosen at random has been loyal 5 or more years given that he or she is from the South? Round your answer to the nearest thousandth.

 a. 0.210 b. 0.326 c. 0.639 d. 0.417 e. none of these choices

 ANSWER: c POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.54 – To identify the probability of an event given another event NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 8:20 AM

23. Wing Foot is a shoe franchise commonly found in shopping centers across the United States. Wing Foot knows that its stores will not show a profit unless they gross over \$940,000 per year. Let A be the event that a new Wing Foot store grosses over \$940,000 its first year. Let B be the event that a store grosses over \$940,000 its second year. Wing Foot has an administrative policy of closing a new store if it does not show a profit in either of the first two years. Assume that the accounting office at Wing Foot provided the following information: 56% of all Wing Foot stores show a profit the first year; 74% of all Wing Foot store show a profit the second year (this includes stores that did not show a profit the first year); however, 82% of Wing Foot stores that showed a profit the first year also showed a profit the second year. Compute P(BA), if P(A) = 0.56 and P(B|not A) = 0.38.

 a. 0.68 b. 0.38 c. 0.51 d. 0.62 e. none of these choices

 ANSWER: b POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.54 – To identify the probability of an event given another event NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/19/2014 8:03 AM

24. Wing Foot is a shoe franchise commonly found in shopping centers across the United States. Wing Foot knows that its stores will not show a profit unless they gross over \$940,000 per year. Let A be the event that a new Wing Foot store grosses over \$940,000 its first year. Let B be the event that a store grosses over \$940,000 its second year. Wing Foot has an administrative policy of closing a new store if it does not show a profit in either of the first two years. Assume that the accounting office at Wing Foot provided the following information: 56% of all Wing Foot stores show a profit the first year; 75% of all Wing Foot store show a profit the second year (this includes stores that did not show a profit the first year); however, 80% of Wing Foot stores that showed a profit the first year also showed a profit the second year. Compute , if , and . Round your answer to the nearest hundredth.

 a. 0.7 b. 0.94 c. 0.51 d. 0.8 e. 0.45

 ANSWER: e POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.53 – To identify the probability NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/5/2013 2:56 AM

25. Wing Foot is a shoe franchise commonly found in shopping centers across the United States. Wing Foot knows that its stores will not show a profit unless they gross over \$940,000 per year. Let A be the event that a new Wing Foot store grosses over \$940,000 its first year. Let B be the event that a store grosses over \$940,000 its second year. Wing Foot has an administrative policy of closing a new store if it does not show a profit in either of the first two years. Assume that the accounting office at Wing Foot provided the following information: 61% of all Wing Foot stores show a profit the first year; 72% of all Wing Foot store show a profit the second year (this includes stores that did not show a profit the first year); however, 87% of Wing Foot stores that showed a profit the first year also showed a profit the second year. Compute if , , and . Round your answer to the nearest hundredth.

 a. 0.44 b. 0.76 c. 0.8 d. 0.46 e. 0.87

 ANSWER: c POINTS: 1 DIFFICULTY: Medium QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True LEARNING OBJECTIVES: 13.53 – To identify the probability NOTES: Application DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 11/5/2013 2:58 AM

26. Draw a tree diagram to display all the possible head-tail sequences that can occur when you flip a coin two times.

 a. b. c. d. e.

 ANSWER: d POINTS: 1 DIFFICULTY: Easy QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: False LEARNING OBJECTIVES: 13.57 – Draw a tree diagram NOTES: Skill DATE CREATED: 11/4/2013 1:57 AM DATE MODIFIED: 3/18/2014 8:29 AM

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