Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
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Chapter 4, Problem 46SE

A survey of adults aged 18 and older conducted by Princess Cruises asked how many days into your vacation does it take until you feel truly relaxed (USA Today, August 24, 2011). The responses were as follows: 422—a day or less; 181—2 days; 80—3 days; 121—4 or more days; and 201—never feel relaxed.

  1. a. How many adults participated in the Princess Cruises survey?
  2. b. What response has the highest probability? What is the probability of this response?
  3. c. What is the probability a respondent never feels truly relaxed on a vacation?
  4. d. What is the probability it takes a respondent 2 or more days to feel truly relaxed?

a.

Expert Solution
Check Mark
To determine

Compute the number of adults participated in the Princes Cruises survey.

Answer to Problem 46SE

There is about 1,005 participates in the Princes C survey.

Explanation of Solution

Calculation:

The given data shows that 422 of adults take only one day or less, 181 of the adults take 2days, 80 take three days, 121 take four or more days, and 201 never take feel relaxed.

The number of adults Participate in the survey can be obtained as follows:

Total adults=[N(1 days or less)+N(2 days )+N(3 days )+N(4 days or more)+N(never relaxed)]

From the data, 422 of adults take only one day or less, 181 of the adults take 2days, 80 take three days, 121 take four or more days, and 201 never take feel relaxed. Substitute these values in the above equation.

Therefore,

Total adults=422+181+80+121+201=1,005

Thus, there is about 1,005 participates in the Princes C survey.

b.

Expert Solution
Check Mark
To determine

Identify what respond has the highest probability and compute its probability value.

Answer to Problem 46SE

The responses who take a day or less to feel truly relaxed, has the highest probability is a day or less. The probability of the event isP(a day or less)=0.4199.

Explanation of Solution

Calculation:

The probability of the event can be obtained as follows:

P(E)=Number of ways event occursTotal frequency

Here, the most frequent response is a day or less. Therefore highest probability response is a day or less. The frequency of the event is 422 and total number of adults is 1,005.

Therefore,

P(a day or less)=4221,005=0.4199

Hence, the probability that selected adult relaxed in a day or less is 0.4199.

c.

Expert Solution
Check Mark
To determine

Compute its probability that a respondent never feels truly relaxed on a vocation.

Answer to Problem 46SE

The probability that a respondent never feels truly relaxed on a vocation is 0.20.

Explanation of Solution

Calculation:

There is a total of 1,005 adults and 201 never feel relaxed. Substitute this values in the probability formula.

Therefore,

P(never feel relaxed)=2011,005=0.2

Hence, the probability that a respondent never feels truly relaxed on a vocation is 0.20.

d.

Expert Solution
Check Mark
To determine

Compute its probability that it take a respondent 2 or more days to feel truly relaxed.

Answer to Problem 46SE

The probability for respondent 2 or more days to feel truly relaxed is 0.3801.

Explanation of Solution

Calculation:

There are total of 1,005 adults, 181 of the adults take 2 days, 80 take 3 days, 121 take for or more days to feel relaxed. That is 382 (=181+80+121)of the respondent take 2 or more days to feel relaxed.

Substitute these values in the probability formula.

Therefore,

P(2or more days)=3821,005=0.38009=0.3801

Hence, the probability for respondent 2 or more days to feel truly relaxed is 0.3801.

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Chapter 4 Solutions

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Ch. 4.1 - Tri-State Smokers. A Gallup Poll of U.S. adults...Ch. 4.1 - 12. The Powerball lottery is played twice each...Ch. 4.1 - 13. A company that manufactures toothpaste is...Ch. 4.2 - 14. An experiment has four equally likely...Ch. 4.2 - 15. Consider the experiment of selecting a playing...Ch. 4.2 - 16. Consider the experiment of rolling a pair of...Ch. 4.2 - 17. Refer to the KP&L sample points and sample...Ch. 4.2 - Prob. 18ECh. 4.2 - 19. Do you think global warming will have an...Ch. 4.2 - 20. Junior Achievement USA and the Allstate...Ch. 4.2 - 21. Data on U.S. work-related fatalities by cause...Ch. 4.3 - 22. Suppose that we have a sample space with five...Ch. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - 25. The Eco Pulse survey from the marketing...Ch. 4.3 - Prob. 26ECh. 4.3 - Social Media Use. A marketing firm would like to...Ch. 4.3 - 28. A survey of magazine subscribers showed that...Ch. 4.3 - 29. High school seniors with strong academic...Ch. 4.4 - 30. Suppose that we have two events, A and B, with...Ch. 4.4 - 31. Assume that we have two events, A and B, that...Ch. 4.4 - Living with Family. Consider the following example...Ch. 4.4 - Students taking the Graduate Management...Ch. 4.4 - Prob. 34ECh. 4.4 - 35. To better understand how husbands and wives...Ch. 4.4 - 36. Jamal Crawford of the National Basketball...Ch. 4.4 - 37. A joint survey by Parade magazine and Yahoo!...Ch. 4.4 - 38. The Institute for Higher Education Policy, a...Ch. 4.5 - 39. The prior probabilities for events A1 and A2...Ch. 4.5 - 40. The prior probabilities for events A1, A2, and...Ch. 4.5 - 41. A consulting firm submitted a bid for a large...Ch. 4.5 - Prob. 42ECh. 4.5 - 43. In August 2012, tropical storm Isaac formed in...Ch. 4.5 - Prob. 44ECh. 4.5 - 45. The percentage of adult users of the Internet...Ch. 4 - 46. A survey of adults aged 18 and older conducted...Ch. 4 - Prob. 47SECh. 4 - Below are the results of a survey of 1364...Ch. 4 - 49. A study of 31,000 hospital admissions in New...Ch. 4 - 50. A telephone survey to determine viewer...Ch. 4 - 51. The U.S. Census Bureau serves as the leading...Ch. 4 - 52. An MBA new-matriculants survey provided the...Ch. 4 - Prob. 53SECh. 4 - 54. In February 2012, the Pew Internet & American...Ch. 4 - 55. A large consumer goods company ran a...Ch. 4 - Prob. 56SECh. 4 - 57. A company studied the number of lost-time...Ch. 4 - Prob. 58SECh. 4 - 59. An oil company purchased an option on land in...Ch. 4 - 60. The five most common words appearing in spam...Ch. 4 - Rob’s Market (RM) is a regional food store chain...
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