Reference no: EM132845902

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=0.05.

?Weight, x

5980
5350
6500
5100
5860
4800

Variability in braking? distance, y

1.75
1.96
1.95
1.64
1.62
1.50

A. Setup the hypothesis for the test.

(Is this right?)
H0?: ρ = 0
Ha?: ρ ≠ 0

B. Identify the critical? value(s). ?(Round to three decimal places)

The critical values are -t0= ____ and t0=_____

C. Calculate the test statistic.

t= ________

(Round to three decimal places as? needed.)

What is your? conclusion?

There (is, is not) enough evidence at the 5?% level of significance to conclude that there (is, is not) a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.