A simple random sample of size n is drawn. The sample mean, x, is found to be 19.3, and the sample standard deviation, s, is found to be 4.1. Click the icon to view the table of areas under the t-distribution. (c) Construct a 99% confidence interval about p if the sample size, n, is 35. ; Upper bound: (Use ascending order. Round to two decimal places as needed.) Lower bound: Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E? O A. The margin of error decreases. B. The margin of error does not change. OC. The margin of error increases. (d) If the sample size is 12, what conditions must be satisfied to compute the confidence interval? O A. The sample data must come from a population that is normally distributed with no outliers. O B. The sample size must be large and the sample should not have any outliers. O c. The sample must come from a population that is normally distributed and the sample size must be large.
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.3, and the sample standard deviation, s, is found to be 4.1. Click the icon to view the table of areas under the t-distribution. (c) Construct a 99% confidence interval about p if the sample size, n, is 35. ; Upper bound: (Use ascending order. Round to two decimal places as needed.) Lower bound: Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E? O A. The margin of error decreases. B. The margin of error does not change. OC. The margin of error increases. (d) If the sample size is 12, what conditions must be satisfied to compute the confidence interval? O A. The sample data must come from a population that is normally distributed with no outliers. O B. The sample size must be large and the sample should not have any outliers. O c. The sample must come from a population that is normally distributed and the sample size must be large.
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:A simple random sample of size n is drawn. The sample mean, x, is found to be 19.3, and the sample standard deviation, s, is found to be 4.1.
Click the icon to view the table of areas under the t-distribution.
(c) Construct a 99% confidence interval about u if the sample size, n, is 35.
Lower bound: ; Upper bound:
(Use ascending order. Round to two decimal places as needed.)
Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E?
A. The margin of error decreases.
B. The margin of error does not change.
C. The margin of error increases.
(d) If the sample size is 12, what conditions must be satisfied to compute the confidence interval?
A. The sample data must come from a population that is normally distributed with no outliers.
B. The sample size must be large and the sample should not have any outliers.
C. The sample must come from a population that is normally distributed and the sample size must be large.
Transcribed Image Text:Area in
right tail
Table VI
t-Distribution
Area in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
1.963
1.386
1.376
1.061
0.978
12.706
4.303
3.182
2.776
2.571
127.321
14.089
7.453
5.598
4.773
1
3.078
6.314
2.920
15.894
4.849
31.821
6.965
4.541
3.747
3.365
63.657
318.309
22.327
1.000
0.816
3
636.619
31.599
12.924
8.610
9.925
5.841
2
1.250
1.190
1.156
1.886
1.638
1.533
1.476
2.353
2.132
2.015
3.482
2.999
2.757
10.215
7.173
5.893
0.765
4
0.741
0.727
0.941
0.920
4.604
4.032
6.869
0.906
0.896
0.889
0.883
0.879
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
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
5.208
4.785
4.501
4.297
4.144
6.
0.718
0.711
8
2.612
2.517
2.449
2.398
2.359
4.317
4.029
3.833
3.690
3.581
5.959
7
5.408
5.041
4.781
4.587
0.706
0.703
10
0.700
1.796
1.782
3.497
3.428
3.372
3.326
3.286
2.201
2.179
4.025
3.930
3.852
3.787
11
12
0.697
1.088
1.363
1.356
0.876
2.328
2.718
3.106
4.437
1.083
1.079
1.076
1.074
3.055
3.012
2.303
2.282
2.264
2.249
2.681
2.650
0.695
0.694
0.692
0.691
0.873
4.318
0.870
0.868
1.350
1.345
1.341
1.771
1.761
1.753
2.160
2.145
2.131
13
4.221
4.140
4.073
14
2.624
2.977
15
0.866
2.602
2.947
3.733
2.235
2.224
2.214
3.686
3.646
3.610
3.579
3.552
16
0.865
0.690
0.689
1.071
1.337
1.746
1.740
1.734
2.120
2.110
2.101
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
3.252
4.015
1.333
1.330
3.222
3.197
3.174
3.153
3.965
3.922
3.883
0.863
0.862
17
1.069
18
0.688
1.067
0.688
0.687
0.861
0.860
1.066
1.064
1.328
1.325
2.093
2.086
19
1.729
2.205
2.197
2.861
20
1.725
2.845
3.850
3.135
3.119
3.104
3.091
3.078
3.819
3.792
3.768
3.745
3.725
0.686
0.686
0.859
0.858
0.858
0.857
0.856
1.323
1.321
1.721
1.717
3.527
3.505
3.485
3.467
3.450
21
1.063
1.061
1.060
1.059
1.058
2.080
2.074
2.189
2.518
2.831
2.508
2.500
2.492
2.485
2.183
2.819
2.807
2.797
22
23
0.685
0.685
0.684
1.319
1.318
1.714
1.711
2.069
2.177
2.064
2.060
24
2.172
25
1.316
1.708
2.167
2.787
1.058
1.057
1.056
1.315
1.314
1.313
2.779
2.771
2.763
2.756
26
0.856
0.855
0.855
0.854
0.854
1.706
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.479
3.067
3.057
3.047
3.038
3.435
3.421
0.684
3.707
0.684
0.683
0.683
0.683
1.703
1.701
1.699
1.310 1.697
3.690
3.674
27
28
29
30
2.473
2.467
2.462
2.457
3.408
3.396
3.385
1.055
1.055
2.150
2.147
3.659
3.646
1.311
2.750
3.030
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
2.040
2.037
2.035
2.032
2.453
2.449
2.445
2.441
3.375
3.365
3.356
3.348
3.340
31
32
0.682
0.682
0.682
0.682
0.682
0.853
0.853
0.853
0.852
0.852
1.054
2.144
2.744
3.022
1.054
1.053
1.052
1.052
2.141
2.138
2.136
2.133
3.633
3.622
3.611
3.601
3.591
2.738
2.733
3.015
3.008
3.002
2.996
33
34
2.728
35
2.030
2.438
2.724
0.681
0.681
0.852
0.851
0.851
1.306
1.305
1.688
1.687
2.028
2.026
2.024
2.131
2.129
2.127
2.990
2.985
2.980
2.434
36
37
38
2.719
2.715
2.712
3.333
3.326
3.319
3.582
3.574
3.566
1.052
1.051
1.051
2.431
2.429
0.681
1.304
1.686
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 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