A simple random sample of size n is drawn. The sample mean, x, is found to be 17.7, 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. (a) Construct a 95% confidence interval about μ if the sample size, n, is 34. Lower bound: ; Upper bound: (Use ascending order. Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Related questions
Question
10/9/23, 10:40 AM
df
4
5
SOUHABHS 25%28 58332 85838523355558
0.05
1.963 3.078 6.314
0.816 1.061 1.386 1.886 2.920
0.765 0.978 1.250 1.638 2.353
0.741 0.941 1.190 1.533 2.132
0.727 0.920 1.156 1.476 2.015
0.906 1.134 1.440 1.943
1.119 1.415 1.895
1.108 1.397 1.860
6 0.718
7 0.711
0.896
0.889
12.706
4.303
3.182
2.776
2.571
2.447 2.612 3.143 3.707
2.365 2.517 2.998 3.499
2.306 2.449 2.896 3.355
2.262 2.398 2.821 3.250
2.228 2.359 2.764 3.169
2.201 2.328 2.718 3.106
2.179 2.303 2.681 3.055
2.160 2.282 2.650 3.012
2.145 2.264 2.624 2.977
2.131 2.249 2.602 2.947
2.120
2.235
2.110 2.224
2.101 2.214 2.552 2.878
2.205 2.539 2.861
2.197 2.528 2.845
2.921
2.583
2.567 2.898
2.831
2.819
2.807
2.492 2.797
ervoo
8 0.706
9 0.703 0.883 1.100 1.383 1.833
10 0.700
0.879 1.093
1.372 1.812
11 0.697 0.876 1.088 1.363 1.796
12 0.695 0.873 1.083 1.356 1.782
13 0.694 0.870 1.079 1.350 1.771
14 0.692 0.868 1.076 1.345 1.761
15 0.691 0.866 1.074 1.341 1.753
16 0.690
0.865
1.071 1.337 1.746
17 0.689 0.863 1.069 1.333 1.740
18 0.688
0.862 1.067 1.330 1.734
19 0.688
0.861 1.066 1.328 1.729 2.093
20 0.687 0.860 1.064 1.325 1.725 2.086
21 0.686 0.859 1.063 1.323 1.721 2.080
22 0.686 0.858 1.061 1.321 1.717 2.074
0.685 0.858 1.060 1.319 1.714 2.069
24 0.685 0.857 1.059 1.318 1.711 2.064
0.684 0.856 1.058 1.316 1.708 2.060
2.485 2.787
26 0.684 0.856 1.058 1.315 1.706
2.056
2.162 2.479
2.779
27 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771
0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763
29 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756
30 0.683 0.854 1.055 1.310 1.697 2.042
2.147 2.457
2.750
31 0.682 0.853 1.054 1.309 1.696 2.040
2.144 2.453
0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449
0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733
0.682 0.852 1.052 1.307 1.691 2.032
0.682 0.852 1.052 1.306 1.690 2.030
36 0.681
0.852
1.052 1.306 1.688 2.028 2.131 2.434 2.719
2.990
37 0.681 0.851 1.051 1.305 1.687
2.026 2.129 2.431
2.715 2.985
0.681 0.851 1.051 1.304 1.686 2.024 2.127 2.429 2.712 2.980
39 0.681 0.851 1.050 1.304 1.685 2.023 2.125
2.426 2.708
40 0.681 0.851 1.050
1.303 1.684
2.021
2.123
2.423
50 0.679 0.849 1.047 1.299 1.676 2.009 2.109
60 0.679 0.848 1.045 1.296 1.671 2.000 2.099
70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648
80 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639
90 0.677 0.846 1.042 1.291 1.662 1.987 2.084 2.368 2.632
100 0.677 0.845
1.042 1.290 1.660 1.984 2.081 2.364 2.626
1000 0.675 0.842
1.037 1.282 1.646 1.962 2.056 2.330 2.581
Z
0.674 0.842 1.036 1.282 1.645 1.960 2.054 2.326 2.576
2.744
2.738
3.008
3.002
2.136 2.441 2.728
2.133 2.438 2.724
2.996
2.976
2.704 2.971
2.403
2.678
2.390
2.660
df
0.25
34
1 1.000 1.376
2
0.20
-Area in
right tail
0.25
0.15
0.20
0.15
0.10
0.10
Table VI
t-Distribution
Area in Right Tail
0.025
0.05
0.025
0.02
0.01
2.189 2.518
2.183 2.508
2.177 2.500
2.172
2.167
0.02
15.894 31.821
4.849 6.965
3.482 4.541 5.841
2.999 3.747 4.604
2.757 3.365 4.032
Area in Right Tail
Table of t-Distribution Areas
0.005 0.0025
0.0005
63.657 127.321 318.309 636.619
9.925 14.089 22.327 31.599
7.453 10.215 12.924
5.598
7.173
8.610
4.773
5.893
6.869
0.01
0.005
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
3.104
3.091
3.078
3.022
3.015
0.001
2.871
2.813
2.807
5.208
4.785
4.501
0.0025
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.067 3.435
3.057
3.421
3.047
3.038
3.030
3.579
3.552
3.527
3.505
3.485
3.467
3.450
3.408
3.396
3.385
3.375
3.365
3.356
3.348
3.340
3.333
3.326
3.319
2.937
2.915
2.899
2.887
3.195
2.878 3.183
3.313
3.307
3.261
3.232
3.211
3.174
3.098
3.090
0.001
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.768
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.633
3.622
3.611
3.601
3.591
3.582
3.574
3.566
3.558
3.551
3.496
3.460
3.435
3.416
3.402
3.390
3.300
3.291
0.0005
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Transcribed Image Text:10/9/23, 10:40 AM df 4 5 SOUHABHS 25%28 58332 85838523355558 0.05 1.963 3.078 6.314 0.816 1.061 1.386 1.886 2.920 0.765 0.978 1.250 1.638 2.353 0.741 0.941 1.190 1.533 2.132 0.727 0.920 1.156 1.476 2.015 0.906 1.134 1.440 1.943 1.119 1.415 1.895 1.108 1.397 1.860 6 0.718 7 0.711 0.896 0.889 12.706 4.303 3.182 2.776 2.571 2.447 2.612 3.143 3.707 2.365 2.517 2.998 3.499 2.306 2.449 2.896 3.355 2.262 2.398 2.821 3.250 2.228 2.359 2.764 3.169 2.201 2.328 2.718 3.106 2.179 2.303 2.681 3.055 2.160 2.282 2.650 3.012 2.145 2.264 2.624 2.977 2.131 2.249 2.602 2.947 2.120 2.235 2.110 2.224 2.101 2.214 2.552 2.878 2.205 2.539 2.861 2.197 2.528 2.845 2.921 2.583 2.567 2.898 2.831 2.819 2.807 2.492 2.797 ervoo 8 0.706 9 0.703 0.883 1.100 1.383 1.833 10 0.700 0.879 1.093 1.372 1.812 11 0.697 0.876 1.088 1.363 1.796 12 0.695 0.873 1.083 1.356 1.782 13 0.694 0.870 1.079 1.350 1.771 14 0.692 0.868 1.076 1.345 1.761 15 0.691 0.866 1.074 1.341 1.753 16 0.690 0.865 1.071 1.337 1.746 17 0.689 0.863 1.069 1.333 1.740 18 0.688 0.862 1.067 1.330 1.734 19 0.688 0.861 1.066 1.328 1.729 2.093 20 0.687 0.860 1.064 1.325 1.725 2.086 21 0.686 0.859 1.063 1.323 1.721 2.080 22 0.686 0.858 1.061 1.321 1.717 2.074 0.685 0.858 1.060 1.319 1.714 2.069 24 0.685 0.857 1.059 1.318 1.711 2.064 0.684 0.856 1.058 1.316 1.708 2.060 2.485 2.787 26 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 27 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 29 0.683 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 30 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 31 0.682 0.853 1.054 1.309 1.696 2.040 2.144 2.453 0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733 0.682 0.852 1.052 1.307 1.691 2.032 0.682 0.852 1.052 1.306 1.690 2.030 36 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2.434 2.719 2.990 37 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.715 2.985 0.681 0.851 1.051 1.304 1.686 2.024 2.127 2.429 2.712 2.980 39 0.681 0.851 1.050 1.304 1.685 2.023 2.125 2.426 2.708 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 60 0.679 0.848 1.045 1.296 1.671 2.000 2.099 70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 80 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 90 0.677 0.846 1.042 1.291 1.662 1.987 2.084 2.368 2.632 100 0.677 0.845 1.042 1.290 1.660 1.984 2.081 2.364 2.626 1000 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.330 2.581 Z 0.674 0.842 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.744 2.738 3.008 3.002 2.136 2.441 2.728 2.133 2.438 2.724 2.996 2.976 2.704 2.971 2.403 2.678 2.390 2.660 df 0.25 34 1 1.000 1.376 2 0.20 -Area in right tail 0.25 0.15 0.20 0.15 0.10 0.10 Table VI t-Distribution Area in Right Tail 0.025 0.05 0.025 0.02 0.01 2.189 2.518 2.183 2.508 2.177 2.500 2.172 2.167 0.02 15.894 31.821 4.849 6.965 3.482 4.541 5.841 2.999 3.747 4.604 2.757 3.365 4.032 Area in Right Tail Table of t-Distribution Areas 0.005 0.0025 0.0005 63.657 127.321 318.309 636.619 9.925 14.089 22.327 31.599 7.453 10.215 12.924 5.598 7.173 8.610 4.773 5.893 6.869 0.01 0.005 4.317 4.029 3.833 3.690 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.104 3.091 3.078 3.022 3.015 0.001 2.871 2.813 2.807 5.208 4.785 4.501 0.0025 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.610 3.067 3.435 3.057 3.421 3.047 3.038 3.030 3.579 3.552 3.527 3.505 3.485 3.467 3.450 3.408 3.396 3.385 3.375 3.365 3.356 3.348 3.340 3.333 3.326 3.319 2.937 2.915 2.899 2.887 3.195 2.878 3.183 3.313 3.307 3.261 3.232 3.211 3.174 3.098 3.090 0.001 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.582 3.574 3.566 3.558 3.551 3.496 3.460 3.435 3.416 3.402 3.390 3.300 3.291 0.0005 https://mylab.pearson.com/Student/PlayerHomework.aspx?homeworkId=661266309&questionId=49&flushed=false&cId=7616404&back-DoAssignments.aspx 1/1
A simple random sample of size n is drawn. The sample mean, x, is found to be 17.7, 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.
(a) Construct a 95% confidence interval about µ if the sample size, n, is 34.
Lower bound:; Upper bound:
(Use ascending order. Round to two decimal places as needed.)
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 17.7, 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. (a) Construct a 95% confidence interval about µ if the sample size, n, is 34. Lower bound:; Upper bound: (Use ascending order. Round to two decimal places as needed.)
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Follow-up Question
K
A simple random sample of size n is drawn. The sample mean, x, is found to be 17.7, 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.
(a) Construct a 95% confidence interval about μ if the sample size, n, is 34.
Lower bound: 16.27; Upper bound: 19.13
(Use ascending order. Round to two decimal places as needed.)
(b) Construct a 95% confidence interval about u if the sample size, n, is 61.
Lower bound: 16.65; Upper bound: 18.75
(Use ascending order. Round to two decimal places as needed.)
How does increasing the sample size affect the margin of error, E?
A. The margin of error increases.
OB. The margin of error does not change.
OC. The margin of error decreases.
Transcribed Image Text:K A simple random sample of size n is drawn. The sample mean, x, is found to be 17.7, 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. (a) Construct a 95% confidence interval about μ if the sample size, n, is 34. Lower bound: 16.27; Upper bound: 19.13 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 61. Lower bound: 16.65; Upper bound: 18.75 (Use ascending order. Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? A. The margin of error increases. OB. The margin of error does not change. OC. The margin of error decreases.
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Follow-up Question
A simple random sample of size n is drawn. The sample mean, x, is found to be 17.7, 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.
(a) Construct a 95% confidence interval about µ if the sample size, n, is 34.
Lower bound: 16.27; Upper bound: 19.13
(Use ascending order. Round to two decimal places as needed.)
(b) Construct a 95% confidence interval about μ if the sample size, n, is 61.
Lower bound:; Upper bound:
(Use ascending order. Round to two decimal places as needed.)
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 17.7, 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. (a) Construct a 95% confidence interval about µ if the sample size, n, is 34. Lower bound: 16.27; Upper bound: 19.13 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about μ if the sample size, n, is 61. Lower bound:; Upper bound: (Use ascending order. Round to two decimal places as needed.)
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