A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Mean StDev SE Mean Variable 95.0% CI AGEWED 26970 22.530 4.712 0.029 (22.474, 22.586) Click the icon to view the table of critical t-values. (a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval. x= 22.530 (Type an integer or a decimal. Do not round.) E= 0.056 (Type an integer or a decimal. Do not round.) (b) Interpret the confidence interval. A. One can be 95% confident that the mean age of people when first married is between 22.474 and 22.586 years. O B. There is a 95% probability that the mean age of people when first married is between 22.474 and 22.586 years. O C. There is a 95% probability that the mean age of people when first married is 22.530 years. O D. One can be 95% confident that the mean age of people when first married is 22.530 years. (c) Verify the results by computing a 95% confidence interval with the information provided. Begin with the lower bound. 4.712 (Round to three decimal places as needed.)
A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Mean StDev SE Mean Variable 95.0% CI AGEWED 26970 22.530 4.712 0.029 (22.474, 22.586) Click the icon to view the table of critical t-values. (a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval. x= 22.530 (Type an integer or a decimal. Do not round.) E= 0.056 (Type an integer or a decimal. Do not round.) (b) Interpret the confidence interval. A. One can be 95% confident that the mean age of people when first married is between 22.474 and 22.586 years. O B. There is a 95% probability that the mean age of people when first married is between 22.474 and 22.586 years. O C. There is a 95% probability that the mean age of people when first married is 22.530 years. O D. One can be 95% confident that the mean age of people when first married is 22.530 years. (c) Verify the results by computing a 95% confidence interval with the information provided. Begin with the lower bound. 4.712 (Round to three decimal places as needed.)
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:A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below.
One-Sample T: AGEWED
Mean StDev SE Mean
Variable
95.0% CI
AGEWED
26970 22.530
4.712
0.029 (22.474, 22.586)
Click the icon to view the table of critical t-values.
(a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval.
x= 22.530 (Type an integer or a decimal. Do not round.)
E= 0.056 (Type an integer or a decimal. Do not round.)
(b) Interpret the confidence interval.
A. One can be 95% confident that the mean age of people when first married is between 22.474 and 22.586 years.
B. There is a 95% probability that the mean age of people when first married is between 22.474 and 22.586 years.
C. There is a 95% probability that the mean age of people when first married is 22.530 years.
D. One can be 95% confident that the mean age of people when first married is 22.530 years.
(c) Verify the results by computing a 95% confidence interval with the information provided.
Begin with the lower bound.
4.712
(Round to three decimal places as needed.)
Transcribed Image Text:Table of Critical t-Values
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
0.00
1.376
1.061
0.978
1.963
1.386
1.250
1.190
1.156
3.078
15.894
4.849
3.482
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
1
1.000
0.816
0.765
0.741
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
127.321
14.089
7.453
5.598
4.773
318.309 636.6
22.327
10.215
7173
5.893
2
31.5
1.886
1.638
1.533
1.476
12.9
8.6
6.8
2.999
2.757
4
0.941
0.920
2.776
5
0.727
2.571
0.718
0.711
0.706
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.612
2.517
2.449
2.398
2.359
5.9
5.4
5.0
3.707
3.499
0.906
0.896
0.889
0.883
1.134
1.119
1.108
1.100
1.093
2.447
2.365
2.306
2.262
2.228
3.143
2.998
2.896
2.821
2.764
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
4.144
7
0.703
0.700
3.355
3.250
3.169
4.7
10
0.879
4.5
1.796
1.782
0.876
0.873
0.870
0.868
0.866
1.363
1.356
1.350
1.345
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
11
12
13
14
15
3.497
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
0.697
0.695
0.694
0.692
0.691
1.088
1.083
1.079
1.076
1.771
1.761
1.753
3.012
2.977
2.947
4.4
4.3
4.2
4.1-
4.0
1.074
1.341
1.337
1.333
1.330
1.328
1.325
2.583
2.567
2.552
2.539
2.528
2.921
2.898
3.252
3.222
3.197
3.174
3.153
0.690
0.689
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
2.235
2.224
2.214
2.205
2.197
3.686
16
17
18
19
20
0.688
0.688
0.687
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.878
2.861
2.845
3.646
3.610
3.579
3.552
4.0
3.9
3.9
3.8
3.8
0.686
0.686
0.685
0.685
0.684
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
3.8
3.7
3.7
3.7-
3.7
2.831
3.135
3.119
3.104
3.091
3.078
3.527
21
22
23
24
25
0.859
0.858
0.858
0.857
0.856
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
2.819
2.807
2.797
2.787
3.505
3.485
3.467
3.450
0.856
0.855
0.855
1.058
1.057
1.056
2.056
2.052
2.162
2.158
2.154
2.479
2.473
2.467
3.067
3.057
3.047
3.7
3.6
3.6
3.435
26
27
28
0.684
0.684
0.683
1.315
1.314
1.313
1.706
1.703
1.701
2.779
2.771
2.763
3.421
3.408
2.048
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