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 5930 5330 6500 5100 5810 4800 Variability in braking distance, y 1.77 1.95 1.86 1.57 1.61 1.50 Setup the hypothesis for the test. choose H0: ρ ▼ less than or equals≤ less than< equals= greater than> greater than or equals≥ not equals≠ 0 Ha: ρ ▼ less than or equals≤ less than< equals= greater than> greater than or equals≥ not equals≠ 0 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) A. The critical value is nothing. B. The critical values are −t0= and t0=. Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? choose a or b There ▼ A.is b.is not enough evidence at the 5% level of significance to conclude that there ▼ A.is not B.is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The weights (in pounds) of

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	5930	5330	6500	5100	5810	4800
Variability in braking distance, y	1.77	1.95	1.86	1.57	1.61	1.50

Setup the hypothesis for the test.

choose

H0:

▼

less than or equals≤

less than<

equals=

greater than>

greater than or equals≥

not equals≠

Ha:

▼

less than or equals≤

less than<

equals=

greater than>

greater than or equals≥

not equals≠

Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice.

(Round to three decimal places as needed.)

The critical value is

nothing.

The critical values are

−t0=

and

t0=.

Calculate the test statistic.

(Round to three decimal places as needed.)

What is your conclusion?

choose a or b

There

▼

A.is

b.is not

enough evidence at the

level of significance to conclude that there

▼

A.is not

B.is

a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.

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