A simple random sample of size n is drawn. The sample mean, x, is found to be 17.9, and the sample standard deviation, s, is found to be 4.7. 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 35. Lower bound: Upper bound: (Use ascending order. Round to two decimal places as needed)

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t-Distribution Critical Values Table
Degrees of
Freedom 0.25
STKIE MAANS SERRA
13
14
15
16
18
19
20
0.718 0.906 1.134
0.711 0.896 1.119
0.706 0.889 1.108
0.703 0.883 1.100
0.700 0.879 1.093
0.697
right tail
0.20 0.15 0.10
1.000 1.376 1.963 3,078 6.314
-0.816 1061 1.386
2.920
1.886
0.765
1.250
0.978
2.353
1.638
0.741
0.727 0.920
2.132
1.190
0.941
1.156
2.015
0.695
0.694
0.692
0.691
0.690
0.689
0.688
0.688
0.687
0.876
0.873
0.870
0.868
0.866
***
1.533
1.476
1.440
1.415
1.397
1.383
1.372
r-Distribution
Area in Right Tail
0.05 0.025 0.028
12.706 15.894
4.303 4.849
3.182
3.482
2.776
2.999
2.571
2.757
0.865 1.071
1.337
0.863
1.069
1.333
0.862
1.067
1.330
0.861
1.066 1.328
0.860 1064
1.325
1.943
1.805
1.860
1.833
1812
1.088
1.363 1.796
1.083
1.356
1.782
1.350
1.079
1.771
1.076
1.345
1.761
1074
1.341
1.753
1.746
1.740
1.734
1.729
1.725
2.447
2.612
2.365
2.517
2.306
2.449
2.262
2.398
2.228 2.359
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
2.120
2.235
2.110 2.224
2.101
2.214
2.093
2.205
2.086
2.197
0.01
31.821
6.965
63.657 127321
9.925 14.089
4.541 5.841 7.453
3.747
4.604
5.598
3.365
4.032
4.773
3.143
2.098
2.896
2.821
2.764
0.005 0.025 0.0010 04.06
0.0005
2.583
2.567
2.552
2.530
2.528
3.707
3.499
3.355
3.250
3.169
2.718
3.106
2.681 3.055
2.650
3.012
2.624
2.977.
2.947
2.602
2.021
2.896
2.878
2.861
2845
4.317
4.029
3.833
3.600
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
318.309
22.327
10.215
7173
5.893
5.208
4.785
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
636.619
31.509
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
0
Transcribed Image Text:t-Distribution Critical Values Table Degrees of Freedom 0.25 STKIE MAANS SERRA 13 14 15 16 18 19 20 0.718 0.906 1.134 0.711 0.896 1.119 0.706 0.889 1.108 0.703 0.883 1.100 0.700 0.879 1.093 0.697 right tail 0.20 0.15 0.10 1.000 1.376 1.963 3,078 6.314 -0.816 1061 1.386 2.920 1.886 0.765 1.250 0.978 2.353 1.638 0.741 0.727 0.920 2.132 1.190 0.941 1.156 2.015 0.695 0.694 0.692 0.691 0.690 0.689 0.688 0.688 0.687 0.876 0.873 0.870 0.868 0.866 *** 1.533 1.476 1.440 1.415 1.397 1.383 1.372 r-Distribution Area in Right Tail 0.05 0.025 0.028 12.706 15.894 4.303 4.849 3.182 3.482 2.776 2.999 2.571 2.757 0.865 1.071 1.337 0.863 1.069 1.333 0.862 1.067 1.330 0.861 1.066 1.328 0.860 1064 1.325 1.943 1.805 1.860 1.833 1812 1.088 1.363 1.796 1.083 1.356 1.782 1.350 1.079 1.771 1.076 1.345 1.761 1074 1.341 1.753 1.746 1.740 1.734 1.729 1.725 2.447 2.612 2.365 2.517 2.306 2.449 2.262 2.398 2.228 2.359 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.120 2.235 2.110 2.224 2.101 2.214 2.093 2.205 2.086 2.197 0.01 31.821 6.965 63.657 127321 9.925 14.089 4.541 5.841 7.453 3.747 4.604 5.598 3.365 4.032 4.773 3.143 2.098 2.896 2.821 2.764 0.005 0.025 0.0010 04.06 0.0005 2.583 2.567 2.552 2.530 2.528 3.707 3.499 3.355 3.250 3.169 2.718 3.106 2.681 3.055 2.650 3.012 2.624 2.977. 2.947 2.602 2.021 2.896 2.878 2.861 2845 4.317 4.029 3.833 3.600 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 318.309 22.327 10.215 7173 5.893 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.610 3.579 3.552 636.619 31.509 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 0
A simple random sample of size n is drawn. The sample mean, x, is found to be 17.9, and the sample standard deviation, s, is found to be 4.7.
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 95% confidence interval about u if the sample size, n, is 35.
μ
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 17.9, and the sample standard deviation, s, is found to be 4.7. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. μ Lower bound: Upper bound: (Use ascending order. Round to two decimal places as needed)
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