Name: Understandable Statistics Concepts and Methods 12th Edition by Charles Henry Brase - Test Bank - Eazyquizes
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Understandable Statistics Concepts and Methods 12th Edition by Charles Henry Brase – Test Bank

Sample Questions

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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

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

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

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

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

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(B| A), 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.	0.70
	b.	0.94
	c.	0.51
	d.	0.80
	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.	0.80
	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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