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 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
Solutions
Expert Solution
From the given data, the following Table is calculated:
| X | Y | XY | X2 | Y2 |
| 5930 | 1.71 | 10140.3 | 35164900 | 2.9241 |
| 5350 | 1.95 | 10432.5 | 28622500 | 3.8025 |
| 6500 | 1.93 | 12545 | 42250000 | 3.7249 |
| 5100 | 1.65 | 8415 | 26010000 | 2.7225 |
| 5870 | 1.68 | 9861.6 | 34456900 | 2.8224 |
| 4800 | 1.50 | 7200 | 23040000 | 2.25 |
| Total = 33550 | 10.42 | 58594.4 | 189544300 | 18.2464 |
H0: Null Hypothesis: 
= 0
HA: Alternative Hypothesis: 
0
Test statistic is given by:
= 0.01
ndf = n - 2 = 6 - 2 = 4
From Table, critical values of t = 
4.6041
Since the calculated value of t = 1.5356 is lessthan critical value of t = 4.6041, the difference is not significant. Fail to reject null hypothesis.
Conclusion:
We cannot conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface
orchestra answered 1 year 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 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...
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 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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