The weights (in pounds) of 6 vehicles and the variability of their braking dista
ID: 3291864 • Letter: T
Question
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? Usealphaequals=0.05
a)Set up the hypothesis for the test
Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice.
Calculate the test statistic.
what is your conclusion
Weight, x Variability in braking distance, y 5960 1.72 5320 1.95 6500 1.95 5100 1.62 5840 1.64 4800 1.5a)Set up the hypothesis for the test
Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice.
Calculate the test statistic.
what is your conclusion
Explanation / Answer
Null hypothesis H0: Rho=0 versus alternative Ha: Rho not equals zero
Sample size n=6
degree of freedom =n-2=6-2=4
Correlation coefficiention calculated using excel =correl() function is r=0.6060
Test statistic t= r*sqrt(n-2)/sqrt(1-r*r) = 0.6060*sqrt(4)/sqrt(1-0.6060*0.6060)=1.5236
Critical t=+/-2.7764 at 5% level and 4 degree of freedom
As calculated t<2.7764, we do not reject the null hypthesis and conclude that correlation is not significant
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