Question
In: Statistics and Probability
The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet)...
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 suffice? Use alph = 0.01.
Weight, x
5910
5350
6500
5100
5850
4800
Variability in braking distance, y
1.79
1.99
1.91
1.55
1.68
1.50
Setup the hypotheis for the test
Idenfity the critical values. Round to three decimal places
Calculate the test statistic
Solutions
Expert Solution
| Weight X | Braking Distance Y | X * Y |
 |
 |
|
| 5910 | 1.79 | 10578.9 | 34928100 | 3.2041 | |
| 5350 | 1.99 | 10646.5 | 28622500 | 3.9601 | |
| 6500 | 1.91 | 12415 | 42250000 | 3.6481 | |
| 5100 | 1.55 | 7905 | 26010000 | 2.4025 | |
| 5850 | 1.68 | 9828 | 34222500 | 2.8224 | |
| 4800 | 1.5 | 7200 | 23040000 | 2.25 | |
| Total | 33510 | 10.42 | 58573.4 | 1.89E+08 | 18.2872 |
To Test :-
H0 :- 
H1 :- 
Test Statistic :-
t = 1.5951
Test Criteria :-
Reject null hypothesis if 
-4.6041 < 1.5951 < 4.6041
Result :- We fail to Reject null hypothesis
Decision based on P value
P - value = P ( t > 1.5951 ) = 0.1859
Reject null hypothesis if P value < 
level of significance
P - value = 0.1859 > 0.01 ,hence we fail to reject null
hypothesis
Conclusion :- We Accept H0
There is no linear correlation between two variables.
orchestra answered 2 years agoRelated Solutions
The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet)...
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 alpha =
0.01
Weight, x 5940 5390 6500 5100 5820 4800
Variability in braking distance, 1.74 1.92 1.93 1.61 1.69
1.50
y
Setup the hypothesis for the test
H0: p...
The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet)...
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 alpha=0.05
weight,X 5960, 5330, 6500, 5100, 5890, 4800 variability in 1.79,
1.95, 1.89, 1.55, 1.65, 1.50 breaking distance,Y set up the
hypothesis for the test H o: P=0 H a:...
The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet)...
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
alphaequals0.01. Weight, x 5930 5350 6500 5100 5870 4800
Variability in braking distance, y 1.71 1.95 1.93 1.65 1.68
1.50
The weights (in pounds) of six vehicles and the variability of their braking distances (in feet)...
The weights (in pounds) of
six
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
alphaαequals=0.01
Weight, x Variability in braking distance, y
5990 1.74
5320 1.99
6500 1.88
5100 1.63
5810 1.62
4800 1.5
set up the hypothesis for the test.
identify the critical...
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.
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 significane of alphaαequals=0.01
Weight, x
Variability in braking distance, y
5910
1.74
5330
1.93
6500
1.93
5100
1.64
5870
1.67
4800
1.5
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