A 95% confidence interval for the mean IQ of college students aged 20-25 years old was computed as (103, 110), based on a sample of 130 observations of IQ. The correct interpretation of this confidence interval is: We are 95% confident that the true mean IQ of college students is between 103 and 110 O 95% of individuals in the sample have IQs between 103 and 110 There is a 95% probability that the future sample mean IQ will be between 103 and 110 About 95% of future samples will have confidence intervals that contain the true mean
A 95% confidence interval for the mean IQ of college students aged 20-25 years old was computed as (103, 110), based on a sample of 130 observations of IQ. The correct interpretation of this confidence interval is: We are 95% confident that the true mean IQ of college students is between 103 and 110 O 95% of individuals in the sample have IQs between 103 and 110 There is a 95% probability that the future sample mean IQ will be between 103 and 110 About 95% of future samples will have confidence intervals that contain the true mean
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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table c is here if needed. circle your answer
Transcribed Image Text:A 95% confidence interval for the mean IQ of college students aged 20-25 years old was computed as
(103, 110), based on a sample of 130 observations of IQ. The correct interpretation of this confidence
interval is:
We are 95% confident that the true mean IQ of college students is between 103 and 110
O 95% of individuals in the sample have IQs between 103 and 110
There is a 95% probability that the future sample mean IQ will be between 103 and 110
About 95% of future samples will have confidence intervals that contain the true mean
Transcribed Image Text:TABLEC t distribution critical values
Confidence level c
Degrees
of freedom
50%
60%
70%
80%
90%
95%
96%
98%
99%
99.5%
99.8%
99.9%
1
2
3
4
1.963
1.386
1.250
3.078 6.314 12.710 15.890 31.820 63.660 127.300
4.849
1.000 1.376
0.816 1.061
0.765 0.978
0.741 0.941
0.727 0.920
0.718 0.906 1.134 1.440 1.943
0.711 0.896
0.706 0.889
318.300 636.600
31.600
12.920
8.610
6.869
5.959
5.408
1.886 2.920
1.638
2.353
1.533 2.132
4.303
3.182
2.776
2.571
6.965
4.541
3.747
3.365
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
22.330
10.210
7.173
5.893
5.208
14.090
7.453
5.598
3.482
2.999
2.757
2.612
2.517
1.190
1.156
1.476 2.015
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
4.773
4.317
4.029
3.833
3.690
3.581
6.
1.119
1.108
1.100
1.415 1.895
1.860
1.833
4.785
4.501
4.297
4.144
4.025
3.930
3.852
7
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
1.397
2.449
2.398
0.703 0.883
0.700 0.879 1.093 1.372 1.812
0.697 0.876 1.088 1.363 1.796
0.695 0.873 1.083
9
1.383
10
2.359
2.328
2.303
2.282
3.169
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
11
3.106
3.055
3.012
2.977
2.947
2.921
12
1.356 1.782
0.694 0.870 1.079 1.350 1.771
0.692 0.868 1.076 1.345 1.761
0.691 0.866 1.074 1.341
0.690 0.865
0.689 0.863
13
14
15
2.145
2.131
2.264
2.249
2.235
2.624
2.602
2.583
3.787
3.733
3.686
1.753
1.337 1.746
1.333 1.740
1.067 1.330 1.734
1.729
1.725
1.071
2.120
2.110
2.101
16
2.224
2.214
2.205
2.197
2.567
2.552
2.539
2.528
2.518
17
1.069
2.898
3.646
3.965
18
0.688 0.862
2.878
3.611
19
20
2.093
2.086
3.922
3.883
3.850
0.688 0.861
1.066
0.687 0.860 1.064 1.325
1.063
1.328
2.861
3.174
3.153
3.579
3.552
2.845
0.686 0.859
0.686 0.858 1.061
1.323
3.135
3.527
3.505
21
1.721
2.080
2.189
2.831
3.819
3.792
3.768
22
1.321
1.717
2.074
2.183
2.508
2.819
3.119
0.685 0.858 1.060 1.319 1.714
0.685 0.857 1.059 1.318 1.711
0.684 0.856 1.058 1.316 1.708
0.684 0.856 1.058 1.315 1.706
0.684 0.855 1.057 1.314 1.703
0.683 0.855
0.683 0.854 1.055 1.311
0.683 0.854 1.055 1.310 1.697
0.681 0.851
3.485
3.467
3.450
3.435
3.421
3.408
23
2.069
2.177
2.172
2.167
2.162
2.500
2.807
2.797
2.787
2.779
2.771
3.104
3.091
3.078
3.067
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.423
2.403
24
2.064
3.745
3.725
3.707
3.690
3.674
25
26
2.060
2.056
27
2.052
2.158
3.057
3.047
3.038
28
1.056 1.313 1.701
2.048
2.045
2.042
2.021
2.154
2.763
2.756
2.750
2.704
2.678
2.660
2.639
29
1.699
2.150
3.396
3.659
30
40
2.147
2.123
3.030
2.971
3.385
3.646
3.551
1.050
1.303
1.684
1.676
3.307
50
0.679 0.849 1.047 1.299
0.679 0.848 1.045 1.296 1.671
0.678 0.846 1.043 1.292 1.664
0.677 0.845 1.042 1.290 1.660
0.675 0.842 1.037 1.282 1.646
0.674 0.841
2.009
2.109
2.937
3.261
3.496
3.460
3.416
3.390
3.300
3.291
60
2.000
2.099
2.390
2.915
3.232
80
1.990
2.088
2.374
2.364
2.330
2.326
2.887
3.195
2.626
2.581
2.576
100
1.984
2.081
2.056
2.054
2.871
2.813
2.807
3.174
3.098
3.091
1000
1.962
1.960
1.036
1.282
1.645
One-sided P
.25
.20
.15
.10
.05
.025
.02
.01
.005
.001
.0025
.005
.0005
Two-sided P
.50
.40
30
.20
.10
.05
.04
.02
.01
.002
.001
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