a. What is the number of degrees of freedom that should be used for finding the critical value tu/2? df =O (Type a whole number.) %3D

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below.
TInterval
(13.046,22.15)
x = 17.598
Sx = 16.01712719
n = 50
Click the icon to view a t distribution table.
a. What is the number of degrees of freedom that should be used for finding the critical value t/2?
Critical t values
df =
(Type a whole number.)
t Distribution: Critical t Values
Left tail
Area In One Tall
0.005
0.01
0.025
0.05
0.10
Degrees of
Area In Two Talls
Degrees of
Freedom
0.01
0.02
0.05
0.10
0.20
Freedom
1
63.657
31.821
12.706
6.314
3.078
1
9.925
6.965
4.303
2.920
1.886
3
5.841
4.541
3.182
2.353
1.638
3
4
4.604
3.747
2.776
2.132
1.533
4
4.032
3.365
2.571
2.015
1.476
6
3.707
3.143
2.447
1.943
1.440
6
7
3.499
2.998
2.365
1.895
1.415
7
3.355
2.896
2.306
1.860
1.397
Critical t value
3.250
2.821
2.262
1.833
1.383
(negat ive)
10
3.169
2.764
2.228
1.812
1.372
10
11
3.106
2.718
2.201
1.796
1.363
11
12
3.055
2.681
2.179
1.782
1.356
12
13
3.012
2.650
2.160
1.771
1.350
13
14
2.977
2.624
2.145
1.761
1.345
14
Right tail
2.947
15
2.602
2.131
1.753
1.341
15
16
2.921
2.583
2.120
1.746
1.337
16
17
2.898
2.567
2.110
1.740
1.333
17
18
2.878
2.552
2.101
1.734
1.330
18
Transcribed Image Text:Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. TInterval (13.046,22.15) x = 17.598 Sx = 16.01712719 n = 50 Click the icon to view a t distribution table. a. What is the number of degrees of freedom that should be used for finding the critical value t/2? Critical t values df = (Type a whole number.) t Distribution: Critical t Values Left tail Area In One Tall 0.005 0.01 0.025 0.05 0.10 Degrees of Area In Two Talls Degrees of Freedom 0.01 0.02 0.05 0.10 0.20 Freedom 1 63.657 31.821 12.706 6.314 3.078 1 9.925 6.965 4.303 2.920 1.886 3 5.841 4.541 3.182 2.353 1.638 3 4 4.604 3.747 2.776 2.132 1.533 4 4.032 3.365 2.571 2.015 1.476 6 3.707 3.143 2.447 1.943 1.440 6 7 3.499 2.998 2.365 1.895 1.415 7 3.355 2.896 2.306 1.860 1.397 Critical t value 3.250 2.821 2.262 1.833 1.383 (negat ive) 10 3.169 2.764 2.228 1.812 1.372 10 11 3.106 2.718 2.201 1.796 1.363 11 12 3.055 2.681 2.179 1.782 1.356 12 13 3.012 2.650 2.160 1.771 1.350 13 14 2.977 2.624 2.145 1.761 1.345 14 Right tail 2.947 15 2.602 2.131 1.753 1.341 15 16 2.921 2.583 2.120 1.746 1.337 16 17 2.898 2.567 2.110 1.740 1.333 17 18 2.878 2.552 2.101 1.734 1.330 18
18
2.878
2.552
2.101
1.734
1.330
18
19
2.861
2.539
2.093
1.729
1.328
19
20
2.845
2.528
2.086
1.725
1.325
20
21
2.831
2.518
2.080
1.721
1.323
21
22
2.819
2.508
2.074
1.717
1.321
22
23
2.807
2.500
2.069
1.714
1.319
23
24
2.797
2.492
2.064
1.711
1.318
24
25
2.787
2.485
2.060
1.708
1.316
25
26
2.779
2.479
2.056
1.706
1.315
26
Critical tvalue
27
2.771
2.473
2.052
1.703
1.314
27
(positive)
28
2.763
2.467
2.048
1.701
1.313
28
29
2.756
2.462
2.045
1.699
1.311
29
30
2.750
2.457
2.042
1.697
1.310
30
31
2.744
2.453
2.040
1.696
1.300
31
32
2.738
2.449
2.037
1.804
1.309
32
33
2.733
2.445
2.035
1.602
1.308
33
34
2.728
2.441
2.032
1.691
1.307
34
Two tails
35
2.724
2.438
2.030
1.090
1.306
35
36
2.719
2.434
2.028
1.688
1.306
36
37
2.715
2.431
2.026
1.687
1.305
37
38
2.712
2.429
2.024
1.686
1.304
38
39
2.708
2.426
2.023
1.685
1.304
39
40
2.704
2.423
2.021
1.684
1.303
40
45
2.690
2.412
2.014
1.679
1.301
45
50
2.678
2.403
2.009
1.676
1.299
50
a/2
a/2
60
2.660
2.390
2.000
1.671
1.296
60
70
2.648
2.381
1.994
1.667
1.294
70
80
2.639
2.374
1.990
1.664
1.292
80
1 007
1 AR2
1 001
Transcribed Image Text:18 2.878 2.552 2.101 1.734 1.330 18 19 2.861 2.539 2.093 1.729 1.328 19 20 2.845 2.528 2.086 1.725 1.325 20 21 2.831 2.518 2.080 1.721 1.323 21 22 2.819 2.508 2.074 1.717 1.321 22 23 2.807 2.500 2.069 1.714 1.319 23 24 2.797 2.492 2.064 1.711 1.318 24 25 2.787 2.485 2.060 1.708 1.316 25 26 2.779 2.479 2.056 1.706 1.315 26 Critical tvalue 27 2.771 2.473 2.052 1.703 1.314 27 (positive) 28 2.763 2.467 2.048 1.701 1.313 28 29 2.756 2.462 2.045 1.699 1.311 29 30 2.750 2.457 2.042 1.697 1.310 30 31 2.744 2.453 2.040 1.696 1.300 31 32 2.738 2.449 2.037 1.804 1.309 32 33 2.733 2.445 2.035 1.602 1.308 33 34 2.728 2.441 2.032 1.691 1.307 34 Two tails 35 2.724 2.438 2.030 1.090 1.306 35 36 2.719 2.434 2.028 1.688 1.306 36 37 2.715 2.431 2.026 1.687 1.305 37 38 2.712 2.429 2.024 1.686 1.304 38 39 2.708 2.426 2.023 1.685 1.304 39 40 2.704 2.423 2.021 1.684 1.303 40 45 2.690 2.412 2.014 1.679 1.301 45 50 2.678 2.403 2.009 1.676 1.299 50 a/2 a/2 60 2.660 2.390 2.000 1.671 1.296 60 70 2.648 2.381 1.994 1.667 1.294 70 80 2.639 2.374 1.990 1.664 1.292 80 1 007 1 AR2 1 001
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