In a random sample of 35 forty-year old Americans, the mean savings amount was $17500 with a standard deviation of $2000. a) The 95% confidence interval for mean amount in the account of 40 year old Americans is ($16813, $18187). Show how to calculate this confidence interval. Put appropriate numbers the formula. No need to actually do the arithmetic since answer is already given to you. b) Find the margin of error. Probabilities in the right tall of the distribution 0.10 3.078 1.886 0.15 1.963 1.386 1.250 1.190 1.156 1.134 1.119 1.108 1.100 0.05 0.025 6.314 12.706 15.895 31.821 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 0.01| 0.005 0.001 0.0005 63.657 318 309 636.619 9.925 22.327 10.215 7.173 5.893 5.208 4.785 4.501 4.297 0.25 1.000 0.816 3 df 0.02 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.849 0.765 0.741 0.727 0.718 0.711 0.706 9. 1.638 3.482 5.841 1.533 1.476 1.440 1.415 1.397 1.383 2.999 2.757 2.612 2.517 2.449 2.398 4.604 4.032 3.707 3.499 3.355 3.250 0.703 456
In a random sample of 35 forty-year old Americans, the mean savings amount was $17500 with a standard deviation of $2000. a) The 95% confidence interval for mean amount in the account of 40 year old Americans is ($16813, $18187). Show how to calculate this confidence interval. Put appropriate numbers the formula. No need to actually do the arithmetic since answer is already given to you. b) Find the margin of error. Probabilities in the right tall of the distribution 0.10 3.078 1.886 0.15 1.963 1.386 1.250 1.190 1.156 1.134 1.119 1.108 1.100 0.05 0.025 6.314 12.706 15.895 31.821 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 0.01| 0.005 0.001 0.0005 63.657 318 309 636.619 9.925 22.327 10.215 7.173 5.893 5.208 4.785 4.501 4.297 0.25 1.000 0.816 3 df 0.02 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.849 0.765 0.741 0.727 0.718 0.711 0.706 9. 1.638 3.482 5.841 1.533 1.476 1.440 1.415 1.397 1.383 2.999 2.757 2.612 2.517 2.449 2.398 4.604 4.032 3.707 3.499 3.355 3.250 0.703 456
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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Transcribed Image Text:In a random sample of 35 forty-year old Americans, the mean savings amount was $17500 with a
standard deviation of $2000.
a) The 95% confidence interval for mean amount in the account of 40 year old Americans is
($16813, $18187). Show how to calculate this confidence interval. Put appropriate numbers in
the formula. No need to actually do the arithmetic since answer is already given to you.
b) Find the margin of error.
Probabilities in the right tail of the distribution
0.10
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
0.05 0.025
12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
0.01| 0.005 0.001 0.0005
63.657 318.309 636.619
31.599
12.924
8.610
6.869
5.959
5.408
0.25
0.15
1.963
1.386
1.250
1.190
1.156
1.134
1.119
0.02
15.895
4.849
3.482
2.999
2.757
2.612
2.517
dr
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1
31.821
6.965
1.000
0.816
0.765
0.741
0.727
0.718
0.711
9.925 22.327
10.215
7.173
5.893
3
5.841
4.541
3.747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.921
5.208
4.785
8
0.706
1.108
1.100
5.041
4.781
4.587
2.449
2.398
2.359
2.328
2.303
2.282
2.264
2.249
2.235
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
0.703
0.700
0.697
0.695
1.093
1.088
1.083
1.079
1.076
1.074
1.071
1.069
1.067
1.066
1.064
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
10
1.812
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
1.796
2.201
2.179
2.160
2.145
2.131
2.120
11
1.782
1.771
12
13
2.650
2.624
2.602
2.583
0.694
0.692
14
15
16
0.691
0.690
0.689
1.761
1.753
1.746
17
1.740
2.110
2.224
2.567
2.898
1.734
1.729
1.725
2.214
2.20S
2.197
2.552
2.539
2.5281
18
0.688
0.688
0.687
2.101
2,093
2.086|
2.878
2.861
2.845
1.330
19
1.328
20
1.325
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