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 5940 5380 6500 5100 5830 4800 Variability in 1.76 1.99 1.89 1.59 1.66 1.50 braking distance, y Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P = 0 Ha: P0 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.) OA. The critical value is OB. The critical values are -to = and to =. Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? There surface. enough evidence at the 1% level of significance to conclude that there a significant linear correlation between vehicle weight and variability in braking distance on a dry

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
5940 5380
6500 5100 5830 4800
Variability in
1.76
1.99
1.89 1.59 1.66
1.50
braking distance, y
Click here to view a table of critical values for Student's t-distribution.
Setup the hypothesis for the test.
Ho: P = 0
Ha: P0
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.)
OA. The critical value is.
OB. The critical values are - to =
and to =.
Calculate the test statistic.
t= (Round to three decimal places as needed.)
What is your conclusion?
There
surface.
enough evidence at the 1% level of significance to conclude that there
a significant linear correlation between vehicle weight and variability in braking distance on a dry
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 5940 5380 6500 5100 5830 4800 Variability in 1.76 1.99 1.89 1.59 1.66 1.50 braking distance, y Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P = 0 Ha: P0 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.) OA. The critical value is. OB. The critical values are - to = and to =. Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? There surface. enough evidence at the 1% level of significance to conclude that there a significant linear correlation between vehicle weight and variability in braking distance on a dry
d.f.
1
2
3
4
6
7
8
9
2355NESC
10
11
12
13
14
15
17
18
19
20
21
22
Level of
confidence, c
One tail, a
Two tails, a
0.50
0.25
0.50
0.80
0.90
0.95 0.98
0.99
0.10
0.05
0.025
0.01 0.005
0.20 0.10 0.05
0.02
0.01
1.000
3.078 6.314 12.706 31.821 63.657
0.816 1.886 2.920 4.303
6.965
9.925
0.765
1.638 2.353 3.182
4.541
5.841
0.741
1.533 2.132 2.776
3.747 4.604
2.571
3.365
4.032
1.943 2.447
3.143
3.707
1.895 2.365
2.998
3.499
1.415
1.397 1.860 2.306 2.896
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
0.727
0.718 1.440
0.711
0.706
0.703
1.383
1.833 2.262
2.821
0.700
1.372 1.812 2.228 2.764
2.718
0.697 1.363 1.796 2.201
0.695 1.356 1.782 2.179
2.681
0.694
1.350
1.771 2.160
2.650
2.624
0.692 1.345 1.761 2.145
0.691 1.341 1.753 2.131
2.602
0.690 1.337 1.746 2.120 2.583
2.567
2.552
2.093 2.539
0.689 1.333 1.740 2.110
0.688 1.330 1.734 2.101
0.688 1.328 1.729
0.687 1.325 1.725 2.086 2.528
0.686 1.323 1.721 2.080
0.686 1.321 1.717 2.074
2.518
2.508
1.476 2.015
Transcribed Image Text:d.f. 1 2 3 4 6 7 8 9 2355NESC 10 11 12 13 14 15 17 18 19 20 21 22 Level of confidence, c One tail, a Two tails, a 0.50 0.25 0.50 0.80 0.90 0.95 0.98 0.99 0.10 0.05 0.025 0.01 0.005 0.20 0.10 0.05 0.02 0.01 1.000 3.078 6.314 12.706 31.821 63.657 0.816 1.886 2.920 4.303 6.965 9.925 0.765 1.638 2.353 3.182 4.541 5.841 0.741 1.533 2.132 2.776 3.747 4.604 2.571 3.365 4.032 1.943 2.447 3.143 3.707 1.895 2.365 2.998 3.499 1.415 1.397 1.860 2.306 2.896 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 0.727 0.718 1.440 0.711 0.706 0.703 1.383 1.833 2.262 2.821 0.700 1.372 1.812 2.228 2.764 2.718 0.697 1.363 1.796 2.201 0.695 1.356 1.782 2.179 2.681 0.694 1.350 1.771 2.160 2.650 2.624 0.692 1.345 1.761 2.145 0.691 1.341 1.753 2.131 2.602 0.690 1.337 1.746 2.120 2.583 2.567 2.552 2.093 2.539 0.689 1.333 1.740 2.110 0.688 1.330 1.734 2.101 0.688 1.328 1.729 0.687 1.325 1.725 2.086 2.528 0.686 1.323 1.721 2.080 0.686 1.321 1.717 2.074 2.518 2.508 1.476 2.015
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