The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use a = 0.01. Weight, x Variability in braking distance, y m Click here to view a table of critical values for Student's t-distribution. 5950 5330 6500 5100 5820 4800 D 1.73 1.92 1.95 1.61 1.65 1.50 Setup the hypothesis for th Data Table Ho: p = 0 Ha:p 0 Identify the critical value(s) (Round to three decimal pla choice. Level of confidence, c One tall, a Two talls, a 0.50 0.80 0.90 0.95 0.98 0.99 0.05 0.005 0.025 0.05 6.314 12.706 31.821 63.657 4.303 0.25 0.50 1.000 0.01 0.02 0.10 The critical values are - to d.f. 0.20 0.10 0.01 3.078 O B. The critical value is 0.816 0.765 0.741 0.727 0.718 1.886 2.920 6.965 9.925 2.353 2.132 3.182 2.776 4.541 3.747 1.638 5.841 Calculate the test statistic, 1.533 4.604 3.365 3.143 1.476 2.015 2.571 4.032 (Round to three de 1.440 1.943 3.707 2.447 0.711 1.415 1.895 2.365 2.998 3.499 0.706 1.397 1.860 2.306 2.896 3.355 1.383 1.372 1.833 1.812 2.821 2.764 2.718 3.250 3.169 9. 2.262 0.703 0.700 10 2.228 11 0.697 1.363 1.796 2.201 3.106 3.055 3.012 12 0.695 1.356 1.782 2.179 2.681 2.650 2.624 13 0.694 1.350 1.771 2.160 2.977 1.345 1.341 1.337 2.145 0.692 0.691 0.690 0.689 14 1.761 1.753 1.746 2.131 2.120 2.947 2.921 2.602 15 16 2.583 17 1.333 1.740 2.110 2.567 2.898 2.552 2.539 2.528 18 0.688 1.330 1.734 2.101 2.878 1.328 1.325 1.729 1.725 2.093 2.086 2.861 2.845 0.688 19 20 0.687 2.080 2.074 2.518 2.508 2.831 21 22 0.686 0.686 0.685 1.323 1.321 1.319 1.721 1.717 1.714 2.819 2.500 2.492 2.485 2.479 23 2.069 2.807 24 0.685 1.318 1.711 2.064 2.797 25 26 0.684 0.684 0.684 1.316 1.315 1.708 1.706 2.060 2.056 2.787 2.779 1.703 1.701 1.699 27 1.314 2.052 2.473 2.771 2.048 2.467 2.763 0.683 0.683 0.674 28 1.313 29 1.311 2.045 2.462 2.756 1.282 1.645 1.960 2.326 2.576 00 Print Done 23456
The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use a = 0.01. Weight, x Variability in braking distance, y m Click here to view a table of critical values for Student's t-distribution. 5950 5330 6500 5100 5820 4800 D 1.73 1.92 1.95 1.61 1.65 1.50 Setup the hypothesis for th Data Table Ho: p = 0 Ha:p 0 Identify the critical value(s) (Round to three decimal pla choice. Level of confidence, c One tall, a Two talls, a 0.50 0.80 0.90 0.95 0.98 0.99 0.05 0.005 0.025 0.05 6.314 12.706 31.821 63.657 4.303 0.25 0.50 1.000 0.01 0.02 0.10 The critical values are - to d.f. 0.20 0.10 0.01 3.078 O B. The critical value is 0.816 0.765 0.741 0.727 0.718 1.886 2.920 6.965 9.925 2.353 2.132 3.182 2.776 4.541 3.747 1.638 5.841 Calculate the test statistic, 1.533 4.604 3.365 3.143 1.476 2.015 2.571 4.032 (Round to three de 1.440 1.943 3.707 2.447 0.711 1.415 1.895 2.365 2.998 3.499 0.706 1.397 1.860 2.306 2.896 3.355 1.383 1.372 1.833 1.812 2.821 2.764 2.718 3.250 3.169 9. 2.262 0.703 0.700 10 2.228 11 0.697 1.363 1.796 2.201 3.106 3.055 3.012 12 0.695 1.356 1.782 2.179 2.681 2.650 2.624 13 0.694 1.350 1.771 2.160 2.977 1.345 1.341 1.337 2.145 0.692 0.691 0.690 0.689 14 1.761 1.753 1.746 2.131 2.120 2.947 2.921 2.602 15 16 2.583 17 1.333 1.740 2.110 2.567 2.898 2.552 2.539 2.528 18 0.688 1.330 1.734 2.101 2.878 1.328 1.325 1.729 1.725 2.093 2.086 2.861 2.845 0.688 19 20 0.687 2.080 2.074 2.518 2.508 2.831 21 22 0.686 0.686 0.685 1.323 1.321 1.319 1.721 1.717 1.714 2.819 2.500 2.492 2.485 2.479 23 2.069 2.807 24 0.685 1.318 1.711 2.064 2.797 25 26 0.684 0.684 0.684 1.316 1.315 1.708 1.706 2.060 2.056 2.787 2.779 1.703 1.701 1.699 27 1.314 2.052 2.473 2.771 2.048 2.467 2.763 0.683 0.683 0.674 28 1.313 29 1.311 2.045 2.462 2.756 1.282 1.645 1.960 2.326 2.576 00 Print Done 23456
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Question
Transcribed Image Text:The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are
shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in
braking distance on a dry surface? Use a =0.01.
Weight, x
Varlabillty in braklng
distance, y
Click here to view a table of critical values for Student's t-distribution.
5950
5330
6500
5100
5820
4800
1.73
1.92
1.95
1.61
1.65
1.50
Setup the hypothesis for the
i Data Table
Ho P = 0
Ha p 0
Identify the critical value(s)
(Round to three decimal pla
choice.
Level of
confidence, c
One tall, oa
Two talls, a
0.98
0.01
0.02
6.314 12.706 31.821 63.657
6,965
4.541
3,747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
0.80
0.10
0.20
3.078
0.50
0.90
0.95
0.99
0.005
0.01
0.25
0.05
0.025
A The critical values are - to
d.f.
0.50
0.10
0.05
1.000
0.816
B The critical value is
9.925
1.886
0.765 1.638
0,7411.533
2.920
2.353
4.303
3.182
2.776
2.571
5.841
4.604
4.032
3.707
Calculate the test statistic.
2.132
0.727
1.476
2.015
(Round to three de
0.718 1.440
0.711
0.706
0.703
0.700
1.943
1.895
2.447
9.
7.
t3=
2.365
3.499
1.415
1.397
3.355
3,250
3.169
3.106
1.860
2.306
1.383 1.833 2.262
1.372 1.812 2.228
0.697 1.363 1.796 2.201
1.782
1.350 1.771
1.761
1.753
6.
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2,681
2.650
2.624
1356
2.179
0,695
0.694
0.692
0.691 1.341
0.6901.337 1.746
0.689 1.333
0.688
0.688
0,687
0.686
0.686
0.685 1.319
0.685
0.684
0.684
0.684
0.683
0.683
0.674
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
1.714 2.069 2.500
2.064
2.060
2.056
2.052
2.048
2.045
1.345
1.740
1.734
1.729
1.325 1.725
1.721
1.717
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
1,330
1.328
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
1.323
1.321
1.711
1.708
1.706
1.703
1.701
1.699
2.492
2.485
2.479
2.473
2.467
2.462
2.326
1.318
1.316
1.315
1.314
1.313
1.311
1.282
29
1.645
1.960
2.576
Print
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