Find the 98% confidence interval for the difference between the means of the two populations

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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Question
28
1.313
1.701
2.048
2.467
2.763
3.408
29
1.311
1.699
2.045
2.462
2.756
3.396
30
1.310
1.697
2.042
2.457
2.750
3.385
40
1.303
1.684
2.021
2.423
2.704
3.307
60
1.296
1.671
2.000
2.390
2.660
3.232
100
1.290
1.660
1.984
2.364
2.626
3.174
00
1.282
1.645
1.960
2.326
2.576
3.090
PROBABILITY OF EXCEEDING THE CRITICAL VALUE
0.10
0.05
0.025
0.01
0.005
0.001
Transcribed Image Text:28 1.313 1.701 2.048 2.467 2.763 3.408 29 1.311 1.699 2.045 2.462 2.756 3.396 30 1.310 1.697 2.042 2.457 2.750 3.385 40 1.303 1.684 2.021 2.423 2.704 3.307 60 1.296 1.671 2.000 2.390 2.660 3.232 100 1.290 1.660 1.984 2.364 2.626 3.174 00 1.282 1.645 1.960 2.326 2.576 3.090 PROBABILITY OF EXCEEDING THE CRITICAL VALUE 0.10 0.05 0.025 0.01 0.005 0.001
A dependent random sample from two normally distributed populations gives the results shown below. Complete parts a and b below.
n = 18
= 22.9
Sa = 2.2
Student's t distribution
Click the icon to view the Student's t distribution table.
0.10
0.05
0.025
0.01
0.005
0.001
a. Find the 98% confidence interval for the difference between the means of the two populations.
1
3.078
6.314
12.706
31.821
63.657
318.313
1.886
2.920
4.303
6.965
9.925
22.327
The 98% confident interval is from a lower limit of
to an upper limit of
1.638
2.353
3.182
4.541
5.841
10.215
(Round to one decimal place as needed.)
4
1.533
2.132
2.776
3.747
4.604
7.173
1.476
2.015
2.571
3.365
4.032
5.893
1.440
1.943
2.447
3.143
3.707
5.208
7
1.415
1.895
2.365
2.998
3.499
4.782
8
1.397
1.860
2.306
2.896
3.355
4.499
1.383
1.833
2.262
2.821
3.250
4.296
10
1.372
1.812
2.228
2.764
3.169
4.143
11
1.363
1.796
2.201
2.718
3.106
4.024
12
1.356
1.782
2.179
2.681
3.055
3.929
13
1.350
1.771
2.160
2.650
3.012
3.852
14
1.345
1.761
2.145
2.624
2.977
3.787
15
1.341
1.753
2.131
2.602
2.947
3.733
16
1.337
1.746
2.120
2.583
2.921
3.686
17
1.333
1.740
2.110
2.567
2.898
3.646
18
1.330
1.734
2.101
2.552
2.878
3.610
19
1.328
1.729
2.093
2.539
2.861
3.579
20
1.325
1.725
2.086
2.528
2.845
3.552
21
1.323
1.721
2.080
2.518
2.831
3.527
22
1.321
1.717
2.074
2.508
2.819
3.505
23
1.319
1.714
2.069
2.500
2.807
3.485
24
1.318
1.711
2.064
2.492
2.797
3.467
25
1.316
1.708
2.060
2.485
2.787
3.450
26
1.315
1.706
2.056
2.479
2.779
3.435
27
1.314
1.703
2.052
2.473
2.771
3.421
28
1.313
1.701
2.048
2.467
2.763
3.408
Transcribed Image Text:A dependent random sample from two normally distributed populations gives the results shown below. Complete parts a and b below. n = 18 = 22.9 Sa = 2.2 Student's t distribution Click the icon to view the Student's t distribution table. 0.10 0.05 0.025 0.01 0.005 0.001 a. Find the 98% confidence interval for the difference between the means of the two populations. 1 3.078 6.314 12.706 31.821 63.657 318.313 1.886 2.920 4.303 6.965 9.925 22.327 The 98% confident interval is from a lower limit of to an upper limit of 1.638 2.353 3.182 4.541 5.841 10.215 (Round to one decimal place as needed.) 4 1.533 2.132 2.776 3.747 4.604 7.173 1.476 2.015 2.571 3.365 4.032 5.893 1.440 1.943 2.447 3.143 3.707 5.208 7 1.415 1.895 2.365 2.998 3.499 4.782 8 1.397 1.860 2.306 2.896 3.355 4.499 1.383 1.833 2.262 2.821 3.250 4.296 10 1.372 1.812 2.228 2.764 3.169 4.143 11 1.363 1.796 2.201 2.718 3.106 4.024 12 1.356 1.782 2.179 2.681 3.055 3.929 13 1.350 1.771 2.160 2.650 3.012 3.852 14 1.345 1.761 2.145 2.624 2.977 3.787 15 1.341 1.753 2.131 2.602 2.947 3.733 16 1.337 1.746 2.120 2.583 2.921 3.686 17 1.333 1.740 2.110 2.567 2.898 3.646 18 1.330 1.734 2.101 2.552 2.878 3.610 19 1.328 1.729 2.093 2.539 2.861 3.579 20 1.325 1.725 2.086 2.528 2.845 3.552 21 1.323 1.721 2.080 2.518 2.831 3.527 22 1.321 1.717 2.074 2.508 2.819 3.505 23 1.319 1.714 2.069 2.500 2.807 3.485 24 1.318 1.711 2.064 2.492 2.797 3.467 25 1.316 1.708 2.060 2.485 2.787 3.450 26 1.315 1.706 2.056 2.479 2.779 3.435 27 1.314 1.703 2.052 2.473 2.771 3.421 28 1.313 1.701 2.048 2.467 2.763 3.408
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