A simple random sample of size n is drawn. The sample mean, x, is found to be 18.5, and the sample standard deviation, s, is found to be 4.9. 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. Lower bound: 16.82; Upper bound: 20.18 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 51. Lower bound:: Upper bound: (Use ascending order. Round to two decimal places as needed.). B

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Solve for B

A simple random sample of size n is drawn. The sample mean, x, is found to be 18.5, and the sample standard deviation, s, is found to be 4.9.
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.
p
Lower bound: 16.82; Upper bound: 20.18
(Use ascending order. Round to two decimal places as needed.)
(b) Construct a 95% confidence interval about p if the sample size, n, is 51.
Lower bound: Upper bound:
(Use ascending order. Round to two decimal places as needed.)
DACICKI
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 18.5, and the sample standard deviation, s, is found to be 4.9. 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. p Lower bound: 16.82; Upper bound: 20.18 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about p if the sample size, n, is 51. Lower bound: Upper bound: (Use ascending order. Round to two decimal places as needed.) DACICKI
Table of Critical t-Values
df
1234 I
5
8
10
11
12
13
14
15
0.25
Area in
right tail
0.718
0.711
0.706
0.703
0.700
0.20
1.000 1.376
1.061
0.816
0.765 0.978
0.741
0.941
0.727
0.920
0.906
0.896
0.889
0.883
0.879
0.15
0.10
1.963
3.078
1.386 1.886
1.250
1.190
1.156
0.697 0.876
0.695
0.873
1.083
(.694
0.870
1.079
0.692
0.868 1.076
0.691
0.866
1.074
0.690
0.865
1.071
0.05
-Distribution
Area in Right Tail
0.025
1.638 2.353
1.533
2.132
2.015
1.476
1.134 1.440
1.943
1.119
1.415
1895
1.108
1860
1.397
1.100
1.383
1.833
1093
1.372 1.812
1.345
1.341
1.337
12.706
6.314
2.920
1088 1.363
1.796
1.356
1.782
1.771
1.350
1.761
1.753
1.746
4.303
3.182
2.776
2.571
2.365
2.306
2.262
2.228
2201
2.179
2.160
2.145
2.131
2.120
0.02
2612
15.894
31.821
6.965
4.849
4.541
3.482
2.999
2.757
LIST
2 449
2.398
2.359
0.01
12.328
2.303
0282
0.005
3.143
2.998
2.896
2.821
2.764
63.657
9.925
5.841
4.604
3.747
3.365
4.032
3.707
3409
3.355
3.250
3.169
2.718
3.106
2.681
3.055
2.650 3.012
2.264
2.624
2.249
2.602
2.583
2.335
2.977
2.947
2.921
27
0.0025
127.321
14.089
7.453
5.598
4.773
4317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
0.001
318.309
22.327
10.215
7.173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
0.0005
636.619
31.599
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
JP
12345 crxag
7
10
11
12
13
15
16
Transcribed Image Text:Table of Critical t-Values df 1234 I 5 8 10 11 12 13 14 15 0.25 Area in right tail 0.718 0.711 0.706 0.703 0.700 0.20 1.000 1.376 1.061 0.816 0.765 0.978 0.741 0.941 0.727 0.920 0.906 0.896 0.889 0.883 0.879 0.15 0.10 1.963 3.078 1.386 1.886 1.250 1.190 1.156 0.697 0.876 0.695 0.873 1.083 (.694 0.870 1.079 0.692 0.868 1.076 0.691 0.866 1.074 0.690 0.865 1.071 0.05 -Distribution Area in Right Tail 0.025 1.638 2.353 1.533 2.132 2.015 1.476 1.134 1.440 1.943 1.119 1.415 1895 1.108 1860 1.397 1.100 1.383 1.833 1093 1.372 1.812 1.345 1.341 1.337 12.706 6.314 2.920 1088 1.363 1.796 1.356 1.782 1.771 1.350 1.761 1.753 1.746 4.303 3.182 2.776 2.571 2.365 2.306 2.262 2.228 2201 2.179 2.160 2.145 2.131 2.120 0.02 2612 15.894 31.821 6.965 4.849 4.541 3.482 2.999 2.757 LIST 2 449 2.398 2.359 0.01 12.328 2.303 0282 0.005 3.143 2.998 2.896 2.821 2.764 63.657 9.925 5.841 4.604 3.747 3.365 4.032 3.707 3409 3.355 3.250 3.169 2.718 3.106 2.681 3.055 2.650 3.012 2.264 2.624 2.249 2.602 2.583 2.335 2.977 2.947 2.921 27 0.0025 127.321 14.089 7.453 5.598 4.773 4317 4.029 3.833 3.690 3.581 3.497 3.428 3.372 3.326 3.286 3.252 0.001 318.309 22.327 10.215 7.173 5.893 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 JP 12345 crxag 7 10 11 12 13 15 16
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