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? Use level of significance = 0.05

WEIGHT, X	5960	5350	6500	5100	5830	4800
VARIABILITY IN BRAKING DISTANCE, Y	1.72	1.99	1.86	1.62	1.61	1.50

H0: p = 0

Ha: p ≠ 0

1. What are the critical value(s)? Select the correct option and round to 3 decimal places if needed.

a) The critical values are -t0 = __ and t0 = _

b) The critical value is __

2. Fill in the blanks

a) There (IS/ISN'T) enough evidence at the 5% level to conclude that there (IS/ISN'T) a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.

Answer 1