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 5920 5340 6500 5100 5850 4800 1.79 1.93 1.91 1.64 1.69 1.50 Click here to view a table of critical values for Student's t-distribution. ..... Setup tne nypotnesis TOr tne test. Ho: p Ha: p 2 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.) A. The critical values are - to = and to = O B. The critical value is 0.01 Calculate the test statistic. t= 0.001 (Round three decimal places as needed.) What is your conclusion? is a significant linear correlation between vehicle weight and variability There is not enough evidence at the 1% level of significance to conclude that there in braking distance on a dry surface.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Can you please check my work

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
5920
5340
6500
5100
5850
4800
1.79
1.93
1.91
1.64
1.69
1.50
Click here to view a table of critical values for Student's t-distribution.
Setup the nypotnesis for tne test.
Ho: p
< 0
Ha: P 2 0
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.)
O A. The critical values are - to =
and to =
%3D
B. The critical value is 0.01
Calculate the test statistic.
t = 0.001 (Round to three decimal places as needed.)
What is your conclusion?
is
a significant linear correlation between vehicle weight and variability
There is not enough evidence at the 1% level of significance to conclude that there
in braking distance on a dry surface.
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 5920 5340 6500 5100 5850 4800 1.79 1.93 1.91 1.64 1.69 1.50 Click here to view a table of critical values for Student's t-distribution. Setup the nypotnesis for tne test. Ho: p < 0 Ha: P 2 0 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.) O A. The critical values are - to = and to = %3D B. The critical value is 0.01 Calculate the test statistic. t = 0.001 (Round to three decimal places as needed.) What is your conclusion? is a significant linear correlation between vehicle weight and variability There is not enough evidence at the 1% level of significance to conclude that there in braking distance on a dry surface.
Data Table
Level of
confidence, c
One tail, a
0.50
0.80
0.90
0.95
0.98
0.99
0.25
0.10
0.05
0.025
0.01
d.f.
Two tails, a
0.50
0.005
0.20
0.10
0.05
0.02
6.314 12.706 31.821 63.657
1
0.01
1.000
3.078
0.816
1.886
2.920
4.303
6.965
9.925
3
0.765
1.638
2.353
3.182
4.541
5.841
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
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
8
0.706
1.397
1.860
2.306
2.896
3.355
0.703
1.383
1.833
2.262
2.821
3.250
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
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
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
Print
Done
Transcribed Image Text:Data Table Level of confidence, c One tail, a 0.50 0.80 0.90 0.95 0.98 0.99 0.25 0.10 0.05 0.025 0.01 d.f. Two tails, a 0.50 0.005 0.20 0.10 0.05 0.02 6.314 12.706 31.821 63.657 1 0.01 1.000 3.078 0.816 1.886 2.920 4.303 6.965 9.925 3 0.765 1.638 2.353 3.182 4.541 5.841 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 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 8 0.706 1.397 1.860 2.306 2.896 3.355 0.703 1.383 1.833 2.262 2.821 3.250 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 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 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 Print Done
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman