The accompanying table contains two samples that were collected as matched pairs. Complete parts (a) and (b) below. Click the icon to view the data table. Click the icon to view a portion of the Student's t-Distribution table. a) Construct a 95% confidence interval to estimate the difference in means between the populations from which Sample 1 and 2 were drawn. The difference is defined as Sample 1-Sample 2. UCLa LCL = X (Round to two decimal places as needed.) More Info Pair Sample 1 Sample 2 n

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What conclusions can be made based on these results?

 

THe interval ____ include zero, so there ____ enough evidence to conclude that there is a difference in means between the populations from which sample 1 and 2 were dra

The accompanying table contains two samples that were collected as matched pairs. Complete parts (a) and (b) below.
Click the icon to view the data table.
Click the icon to view a portion of the Student's t-Distribution table.
C
a) Construct a 95% confidence interval to estimate the difference in means between the populations from which Sample 1 and 2 were drawn. The difference is defined as Sample 1 - Sample 2.
UCL =
LCLa =
(Round to two decimal places as needed.)
More Info
Pair
1
2
3
4
5
6
7
Sample 1
4
3
6
6
Print
8
2
Sample 2
9
5
7
10
8
10
Done
D
X
Probabilities under the t-distribution Curve
D
1 Tail
2 Tail
Conf Lev
d.f.
1
2
T
3
.
4
5
6
7
8
9
9
10
11
12
13
15
16
17
18
19
20
21
22
23
24
25
26
0.200 0.100 0.050
0.400 0.200 0.100
0.600 0.800 0.900
3.078 6.314
0.920 1.476
1.886 2.920
1.638 2.353
1.533 2.132
2.015
0.906 1.440 1.943
1.415 1.895
1.397 1.860
1.833
1.812
1.796
0.873 1.356 1.782
0.896
0.889
0.883 1.383
0.879 1.372
0.876 1.363
0.870 1.350 1.771
0.866 1.341 1.753
0.865 1.337 1.746
0.863 1.333 1.740
0.862 1.330
0.861 1.328
0.860 1.325
0.000
0.859
20
0.858 1.321
1.319
0.858
0.857
0.856
0.856
1.376
1.061
0.978
0.941
0.025 0.010
0.050 0.020
0.950 0.980
12.706 31.821
4.303 6.965
3.182 4.541
2.776 3.747
2.571 3.365
2.447 3.143
2.365 2.998
2.306 2.896
2.262 2.821
2.228 2.764
2.201 2.718
2.179 2.681
2.160 2.650
2.131 2.602
2.120 2.583
2.110 2.567
1.734 2.101 2.552
1.729 2.093 2.539
20
1.725
1.323 1.721
1.717
1.714
2.086 2.528
W
2.080 2.518
2.074 2.508
2.069 2.500
1.318 1.711
2.064 2.492
1.316 1.708
2.060 2.485
2.056 2.479
1.315 1.706
0.005
0.010
0.990
63.657
9.925
5.841
4.604
4.032
3.707
3,499
3.355
3.250
3.169
3.106
3.055
3.012
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
Transcribed Image Text:The accompanying table contains two samples that were collected as matched pairs. Complete parts (a) and (b) below. Click the icon to view the data table. Click the icon to view a portion of the Student's t-Distribution table. C a) Construct a 95% confidence interval to estimate the difference in means between the populations from which Sample 1 and 2 were drawn. The difference is defined as Sample 1 - Sample 2. UCL = LCLa = (Round to two decimal places as needed.) More Info Pair 1 2 3 4 5 6 7 Sample 1 4 3 6 6 Print 8 2 Sample 2 9 5 7 10 8 10 Done D X Probabilities under the t-distribution Curve D 1 Tail 2 Tail Conf Lev d.f. 1 2 T 3 . 4 5 6 7 8 9 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 0.200 0.100 0.050 0.400 0.200 0.100 0.600 0.800 0.900 3.078 6.314 0.920 1.476 1.886 2.920 1.638 2.353 1.533 2.132 2.015 0.906 1.440 1.943 1.415 1.895 1.397 1.860 1.833 1.812 1.796 0.873 1.356 1.782 0.896 0.889 0.883 1.383 0.879 1.372 0.876 1.363 0.870 1.350 1.771 0.866 1.341 1.753 0.865 1.337 1.746 0.863 1.333 1.740 0.862 1.330 0.861 1.328 0.860 1.325 0.000 0.859 20 0.858 1.321 1.319 0.858 0.857 0.856 0.856 1.376 1.061 0.978 0.941 0.025 0.010 0.050 0.020 0.950 0.980 12.706 31.821 4.303 6.965 3.182 4.541 2.776 3.747 2.571 3.365 2.447 3.143 2.365 2.998 2.306 2.896 2.262 2.821 2.228 2.764 2.201 2.718 2.179 2.681 2.160 2.650 2.131 2.602 2.120 2.583 2.110 2.567 1.734 2.101 2.552 1.729 2.093 2.539 20 1.725 1.323 1.721 1.717 1.714 2.086 2.528 W 2.080 2.518 2.074 2.508 2.069 2.500 1.318 1.711 2.064 2.492 1.316 1.708 2.060 2.485 2.056 2.479 1.315 1.706 0.005 0.010 0.990 63.657 9.925 5.841 4.604 4.032 3.707 3,499 3.355 3.250 3.169 3.106 3.055 3.012 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779
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