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 5980 5330 6500| 5100 5830 4800 abikgance. y 1.69 1.50 O Data Table 1.76 1.92 1.89 1,64

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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
5980
5330
6500
5100
5830
4800
1.76
1.92
1.89
1.64
1.69
1.50
Data Table
E Click here to view a table of critical values for Student's t-distribution.
Setup the hypothesis for the test.
Level of
Но P
0.50
confidence, c
One tail, a
0.80
0.90
0.95
0.98
0.99
0.25
0.10
0.05
0.025
0.01
0.005
Ha: P
d.f.
Two tails, a
0.50
0.20
0.10
0.05
0.02
0.01
1
1.000
3.078
6.314 12.706 31.821 63.657
Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice.
(Round to three decimal places as needed.)
2
0.816
1.886
2.920
4.303
6.965
9.925
0.765
1.638
2.353
3.182
4.541
5.841
A. The critical values are
to =
and to =
4
0.741
1.533
2.132
2.776
3.747
4.604
0.727
1.476
2.015
2.571
3.365
4.032
O B. The critical value is
6
0.718
1.440
1.943
2.447
3.143
3.707
7
0.711
1.415
1.895
2.365
2.998
3.499
Calculate the test statistic.
0.706
1.397
1.860
2.306
2.896
3.355
0.703
1.383
1.833
2.262
2.821
3.250
t=
(Round to three decimal places as needed.)
10
0.700
1.372
1.812
2.228
2.764
3.169
11
0.697
1.363
1.796
2.201
2.718
3.106
What is your conclusion?
12
0.695
1.356
1.782
2.179
2.681
3.055
13
0.694
1.350
1.771
2.160
2.650
3.012
There
V enough evidence at the 1% level of significance to conclude that there
V a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.
14
0.692
1.345
1.761
2.145
2.624
2.977
15
0.691
1.341
1.753
2.131
2.602
2.947
16
0.690
1.337
1.746
2.120
2.583
2.921
17
0.689
1.333
1.740
2.110
2.567
2.898
18
0.688
1.330
1.734
2.101
2.552
2.878
19
0.688
1.328
1.729
2.093
2.539
2.861
20
0.687
1.325
1.725
2.086
2.528
2.845
21
0.686
1.323
1.721
2.080
2.518
2.831
22
0.686
1.321
1.717
2.074
2.508
2.819
23
0.685
1.319
1.714
2.069
2.500
2.807
24
0.685
1.318
1.711
2.064
2.492
2.797
25
0.684
1.316
1.708
2.060
2.485
2.787
26
0.684
1.315
1.706
2.056
2.479
2.779
27
0.684
1.314
1.703
2.052
2.473
2.771
28
0.683
1.313
1.701
2.048
2.467
2.763
29
0.683
1.311
1.699
2.045
2.462
2.756
0.674
1.282
1.645
1.960
2.326
2.576
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 Variability in braking distance, y 5980 5330 6500 5100 5830 4800 1.76 1.92 1.89 1.64 1.69 1.50 Data Table E Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Level of Но P 0.50 confidence, c One tail, a 0.80 0.90 0.95 0.98 0.99 0.25 0.10 0.05 0.025 0.01 0.005 Ha: P d.f. Two tails, a 0.50 0.20 0.10 0.05 0.02 0.01 1 1.000 3.078 6.314 12.706 31.821 63.657 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) 2 0.816 1.886 2.920 4.303 6.965 9.925 0.765 1.638 2.353 3.182 4.541 5.841 A. The critical values are to = and to = 4 0.741 1.533 2.132 2.776 3.747 4.604 0.727 1.476 2.015 2.571 3.365 4.032 O B. The critical value is 6 0.718 1.440 1.943 2.447 3.143 3.707 7 0.711 1.415 1.895 2.365 2.998 3.499 Calculate the test statistic. 0.706 1.397 1.860 2.306 2.896 3.355 0.703 1.383 1.833 2.262 2.821 3.250 t= (Round to three decimal places as needed.) 10 0.700 1.372 1.812 2.228 2.764 3.169 11 0.697 1.363 1.796 2.201 2.718 3.106 What is your conclusion? 12 0.695 1.356 1.782 2.179 2.681 3.055 13 0.694 1.350 1.771 2.160 2.650 3.012 There V enough evidence at the 1% level of significance to conclude that there V a significant linear correlation between vehicle weight and variability in braking distance on a dry surface. 14 0.692 1.345 1.761 2.145 2.624 2.977 15 0.691 1.341 1.753 2.131 2.602 2.947 16 0.690 1.337 1.746 2.120 2.583 2.921 17 0.689 1.333 1.740 2.110 2.567 2.898 18 0.688 1.330 1.734 2.101 2.552 2.878 19 0.688 1.328 1.729 2.093 2.539 2.861 20 0.687 1.325 1.725 2.086 2.528 2.845 21 0.686 1.323 1.721 2.080 2.518 2.831 22 0.686 1.321 1.717 2.074 2.508 2.819 23 0.685 1.319 1.714 2.069 2.500 2.807 24 0.685 1.318 1.711 2.064 2.492 2.797 25 0.684 1.316 1.708 2.060 2.485 2.787 26 0.684 1.315 1.706 2.056 2.479 2.779 27 0.684 1.314 1.703 2.052 2.473 2.771 28 0.683 1.313 1.701 2.048 2.467 2.763 29 0.683 1.311 1.699 2.045 2.462 2.756 0.674 1.282 1.645 1.960 2.326 2.576
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