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 α=0.01. ​Weight, x 5930 5390 6500 5100 5890 4800   Variability in braking​ distance, y 1.76 1.95 1.91 1.62 1.64 1.50   1.Setup the hypothesis for the test. Choose a or b H0​: ρ ▼  A.less than or equals≤ b.less than< c.equals= d.greater than> e.greater than or equals≥ f.not equals≠ 0 Ha​: ρ ▼ A. less than or equals≤ b.less than< c.equals= d.greater than> e.greater than or equals≥ f.not equals≠ 0   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.) Fill the correct answer A. The critical value is=   B. The critical values are  −t0=    and  t0=.   Calculate the test statistic.   t= ​(Round to three decimal places as​ needed.)     3.What is your​ conclusion? Choose A or B? There ▼  (A)is not  (B)is enough evidence at the 1​% level of significance to conclude that there ▼  (A)is not (B)is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.

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ISBN:9781119256830
Author:Amos Gilat
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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
α=0.01.
​Weight, x
5930
5390
6500
5100
5890
4800
 
Variability in braking​ distance, y
1.76
1.95
1.91
1.62
1.64
1.50

 

1.Setup the hypothesis for the test.
Choose a or b
H0​:
ρ
 A.less than or equals≤
b.less than<
c.equals=
d.greater than>
e.greater than or equals≥
f.not equals≠
0
Ha​:
ρ
A. less than or equals≤
b.less than<
c.equals=
d.greater than>
e.greater than or equals≥
f.not equals≠
0
 
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.)
Fill the correct answer
A.
The critical value is=
 
B.
The critical values are  −t0=    and  t0=.
 
Calculate the test statistic.
 
t=
​(Round to three decimal places as​ needed.)
 
 
3.What is your​ conclusion?
Choose A or B?
There
▼ 
(A)is not 
(B)is
enough evidence at the
1​%
level of significance to conclude that there
 (A)is not
(B)is
a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.
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