The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below. 67.73 79.92 69.23 84.13 79.16 86.77 101.01 97.58 D E Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is $ (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. One can be % confident that the mean travel tax for all cities is between $ and $. O B. There is a % probability that the mean travel tax for all cities between $ and $ O C. The travel tax is between $ and $ for % of all cities. O D. One can be % confident that the all cities have a travel tax between $ and $ (c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data? O A. The researcher could decrease the level of confidence. O B. The researcher could increase the sample mean. OC. The researcher could increase the level of confidence. O D. The researcher could decrease the sample standard deviation.
The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below. 67.73 79.92 69.23 84.13 79.16 86.77 101.01 97.58 D E Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is $ (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. One can be % confident that the mean travel tax for all cities is between $ and $. O B. There is a % probability that the mean travel tax for all cities between $ and $ O C. The travel tax is between $ and $ for % of all cities. O D. One can be % confident that the all cities have a travel tax between $ and $ (c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data? O A. The researcher could decrease the level of confidence. O B. The researcher could increase the sample mean. OC. The researcher could increase the level of confidence. O D. The researcher could decrease the sample standard deviation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
10
Transcribed Image Text:Area in
right tail
t-Distribution
Area in Right Tail
Degrees of
Freedom
0.25
0.20
0.15
0.10
0.05 0.025
0.02
0.01
0.005 0.0025
0.001 0.0005
1.000
0.816
0.765
0.741
0.727
1.376
1.061
0.978
0.941
0.920
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7453
5.598
4.773
318.309 636.619
22.327
10.215
7173
5.893
1
31.599
12.924
3
8.610
6.869
5.959
5.408
5.041
4.781
4.587
0.906
0.896
0.718
0.711
0.706
0.703
0.700
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
4.144
6
7
0.889
0.883
0.879
9
10
11
12
13
14
15
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
0.868
0.866
1.088
1.083
1.079
1.076
1.074
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
4.140
4.073
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
21
22
23
24
25
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.527
3.505
3.485
3.467
3.450
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
2.189
2.183
2.177
2.172
2.167
3.135
3.119
3.104
3.091
3.078
3.819
3.792
3.768
3.745
3.725
26
27
28
29
30
0.684
0.684
0.683
0.683
0.683
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
31
32
33
34
0.682
0.682
0.682
0.682
0 682
0.853
0.853
0.853
0.852
1.054
1.054
1.053
1.052
1.309
1.309
1.308
1.307
1.696
1.694
1.692
1.691
1 600
2.040
2.037
2.035
2.032
2.144
2.141
2.138
2.136
2.453
2.449
2.445
2.441
2.744
2.738
2.733
2.728
3.022
3.015
3.008
3.002
3.375
3.365
3.356
3.348
3.633
3.622
3.611
3.601
2 501
25
0852
1052
1306
2020
2123
2438
2724
2006
3240
Transcribed Image Text:The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no
outliers. Complete parts (a) through (c) below.
67.73
79.92
69.23
84.13
79.16
86.77
101.01
97.58
Click the icon to view the table of critical t-values.
.....
(a) Determine a point estimate for the population mean travel tax.
A point estimate for the population mean travel tax is $
(Round to two decimal places as needed.)
(b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
O A. One can be
% confident that the mean travel tax for all cities is between $
and $
B. There is a
% probability that the mean travel tax for all cities is between $
and $
O C. The travel tax is between $
and $
for % of all cities.
O D. One can be
% confident that the all cities have a travel tax between $
and $
(c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data?
O A. The researcher could decrease the level of confidence.
B. The researcher could increase the sample mean.
C. The researcher could increase the level of confidence.
D. The researcher could decrease the sample standard deviation.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman