Lower bound: 103.6 ; Upper bound: 114.4 (Use ascending order. Round to one decimal place as needed.) How does increasing the sample size affect the margin of error, E? O A. As the sample size increases, the margin of error decreases. O B. As the sample size increases, the margin of error stays the same. O C. As the sample size increases, the margin of error increases.
Lower bound: 103.6 ; Upper bound: 114.4 (Use ascending order. Round to one decimal place as needed.) How does increasing the sample size affect the margin of error, E? O A. As the sample size increases, the margin of error decreases. O B. As the sample size increases, the margin of error stays the same. O C. As the sample size increases, the margin of error increases.
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
Question 2 Part B
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
1.376
1.061
0.978
0.941
0.920
63.657
9.925
5,841
4.604
127.321
1.000
0.816
3
1.963
1.386
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
31.821
6.965
4.541
3.747
3.365
318.309
22.327
10.215
7.173
5.893
636.619
31.599
12.924
8.610
6.869
2
14.089
0.765
0.741
3.482
2.999
2.757
1.250
7.453
1.190
1.156
5.598
4.773
0.727
4.032
3.707
3.499
3.355
3.250
3.169
5.208
4.785
4.501
4.297
0.718
0.711
1.134
1.119
1.108
1.100
1.093
2.612
2.517
0.906
0.896
0.889
0.883
0.879
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
4.317
4.029
5.959
5.408
8
0.706
2.449
3,833
5.041
0.703
2.398
2.359
3.690
3.581
9
4.781
10
0.700
2.764
4.144
4.587
0.876
0.873
1.363
1.356
1.350
1.345
1.341
2.201
2.179
11
12
13
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
3.497
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
0.697
4.437
4.318
4.221
1.088
1.796
1.083
1.782
1.771
1.761
1.753
0.695
0.694
0.870
1.079
2.160
0.692
0.691
0.868
0.866
2.145
2.131
14
1.076
4.140
15
1.074
2.947
4.073
2.120
2.110
2.101
2.093
2.086
3.252
3.222
3.197
3.174
3.153
16
0.690
0.865
1.071
1.337
1.333
1.330
1.328
1.325
1.746
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
3.686
0.689
0.688
0.688
0.687
1.069
1.067
1.066
1.064
1.740
1.734
1.729
1.725
2,898
2.878
2.861
2.845
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
17
0.863
0.862
0.861
0.860
18
19
20
0.686
0.859
0.858
0.858
0.857
0.856
1.721
1.717
1.714
1.711
1.708
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.527
3.505
3.485
3.467
3.450
21
1.063
1.323
2.080
1.061
1.060
1.059
1.058
2.189
2.183
2.177
2.172
2.167
3.819
3.792
3.768
3.745
3.725
1.321
2.074
2.069
2.064
2.060
22
0.686
23
0.685
0.685
0.684
1.319
1.318
1.316
3.104
24
25
3.091
3.078
26
27
28
29
30
0.684
0.684
0.683
0.683
0.683
1.706
1.703
1.701
1.699
2.779
2.771
2.763
2.756
2.750
3.707
3.690
3.674
3.659
3.646
0.856
0.855
1.058
1.057
0.855 1.056
0.854 1.055
0.854
1.315
1.314
1.313
1.311
1.310
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
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
1.055
1.697
0.853
0.853
0.682
0.682
0.682
1.054
1.054
1.053
1.052
1.052
1.696
1.694
1.692
1.691
1.690
2.453
2.449
2.445
2.441
2.438
31
1.309
1.309
1.308
1.307
1.306
2.040
32
33
34
35
0.853
0.852
0.852
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
0.682
3.601
0.682
3.591
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.051
1.050
1.050
1.688
1.687
1.686
1.685
1.684
2.434
2.431
2.429
3.333
3.326
3.319
3.313
3.307
36
0.681
0.681
0.681
0.681
0.681
1.306
1.305
1.304
1.304
1.303
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.719
2.715
2.712
2.708
2.704
2.990
3.582
37
38
39
2.985
2.980
2.976
2.971
3.574
2.125
2.123
3.566
3.558
3.551
2.426
40
2.423
0.679
0.679
1.047
1.045
1.044
2.678
2.660
2.648
2.639
1.299
1.296
2.009
2.000
1.994
1.990
2.109
2.099
2.093
2.088
2.937
3.261
3.232
3.211
3.195
50
0.849
0.848
0.847
0.846
1.676
1.671
1.667
1.664
2.403
2.390
2.381
2.374
3.496
3.460
3.435
3.416
60
2.915
70
0.678
0.678
1.294
1.292
2.899
80
1.043
2.887
Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about u if the sample size, n, is 17.
(b) Construct a 98% confidence interval about u if the sample size, n, is 22.
(c) Construct a 99% confidence interval about u if the sample size, n, is 17.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 98% confidence interval about u if the sample size, n, is 17.
Lower bound: 102.7 ; Upper bound: 115.3
(Use ascending order. Round to one decimal place as needed.)
(b) Construct a 98% confidence interval about u if the sample size, n, is 22.
Lower bound: 103.6 ; Upper bound: 114.4
(Use ascending order. Round to one decimal place as needed.)
How does increasing the sample size affect the margin of error, E?
A. As the sample size increases, the margin of error decreases.
B. As the sample size increases, the margin of error stays the same.
O C. As the sample size increases, the margin of error increases.
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