Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)
6th Edition
ISBN: 9780357191484
Author: David R. Anderson; Dennis J. Sweeney; Thomas A. Williams
Publisher: Cengage Learning US
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Textbook Question
Chapter 4.2, Problem 20E
Junior Achievement USA and the Allstate Foundation surveyed teenagers aged 14 to 18 and asked at what age they think that they will become financially independent (USA Today, April 30, 2012). The responses of 944 teenagers who answered this survey question are as follows.
| Age Financially Independent | Number of Responses |
| 16 to 20 | 191 |
| 21 to 24 | 467 |
| 25 to 27 | 244 |
| 28 or older | 42 |
Consider the experiment of randomly selecting a teenager from the population of teenagers aged 14 to 18.
- a. Compute the
probability of being financially independent for each of the four age categories. - b. What is the probability of being financially independent before the age of 25?
- c. What is the probability of being financially independent after the age of 24?
- d. Do the probabilities suggest that the teenagers may be somewhat unrealistic in their expectations about when they will become financially independent?
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Question 4
Fourteen individuals were given a complex puzzle to complete. The times in seconds was recorded
for their first and second attempts and the results provided below:
1
2
3
first attempt
172
255
second attempt 70
4 5
114 248 218
194 270 267 66
6 7
230 219
341 174
8
10
9
210 261 347 218 200 281
199 308 268 243 236 300
11
12
13
14
140
302
a. Calculate a 95% confidence interval for the mean time taken by each individual to
complete the (i) first attempt and (ii) second attempt. [la]
b. Test the hypothesis that the difference between the two mean times for both is 100
seconds. Use the 5% level of significance.
c. Subsequently, it was learnt that the times for the second attempt were incorrecly
recorded and that each of the values is 50 seconds too large. What, if any, difference
does this make to the results of the test done in part (b)? Show all steps for the
hypothesis test
Question 3
3200 students were asked about the importance of study groups in successfully completing their
courses. They were asked to provide their current majors as well as their opinion. The results are given
below:
Major
Opinion Psychology Sociology Economics Statistics Accounting Total
Agree
144
183
201
271
251
1050
Disagree
230
233
254
227
218
1162
Impartial
201
181
196
234
176
988
Total
575
597
651
732
645
3200
a. State both the null and alternative hypotheses.
b. Provide the decision rule for making this decision. Use an alpha level of 5%.
c. Show all of the work necessary to calculate the appropriate statistic. |
d. What conclusion are you allowed to draw?
c. Would your conclusion change at the 10% level of significance?
f. Confirm test results in part (c) using JASP. Note: All JASP input files and output
tables should be provided
Question 1
A tech company has acknowledged the importance of having records of all meetings conducted.
The meetings are very fast paced and requires equipment that is able to capture the information in
the shortest possible time. There are two options, using a typewriter or a word processor. Fifteen
administrative assistants are selected and the amount of typing time in hours was recorded. The
results are given below:
1
2
3
4
5
6
7
8
9
10
11 12 13
14
15
typewriter
8.0 6.5
5.0 6.7
7.8
8.5
7.2
5.7
9.2
5.7 6.5
word processor 7.2 5.7
8.3
7.5
9.2
7.2
6.5
7.0
6.9
34
7.0 6.9
8.8
6.7
8.8 9.4 8.6 5.5 7.2
8.4
a. Test the hypothesis that the mean typing time in hours for typewriters is less than 7.0.
Use the 1% level of significance.
b. Construct a 90% confidence interval for the difference in mean typing time in hours,
where a difference is equal to the typing time in hours of word processors minus typing
time in hours of typewriter.
c. Using the 5% significance level, determine whether there is…
Chapter 4 Solutions
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)
Ch. 4.1 - 1. An experiment has three steps with three...Ch. 4.1 - 2. How many ways can three items be selected from...Ch. 4.1 - 3. How many permutations of three items can be...Ch. 4.1 - Prob. 4ECh. 4.1 - 5. Suppose an experiment has five equally likely...Ch. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - 8. In the city of Milford, applications for zoning...Ch. 4.1 - Prob. 9ECh. 4.1 - 10. The following table shows the percentage of...
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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