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 ar n braking distance on a dry surface? Use a = 0.001. Weight, x Jariability in praking distance, y E Click here to view a table of critical values for Student's t-distribution. 5960 5350 6500 5100 5860 4800 0 1.75 1.99 1.92 1.56 1.68 1.50 Setup the hypothesis for the test. Ho: p = H:p * 0 dentify 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.) O A. The critical values are - to= and to = O B. The critical value is. Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? There V enough evidence at the 1% level of significance to conclude that there V a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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 variabi
in braking distance on a dry surface? Use a = 0.01.
Weight, x
Variability in
braking distance, y
5960
5350
6500
5100
5860
4800
1.75
1.99
1.92
1.56
.68
1.50
Click here to view a table of critical values for Student's t-distribution.
Setup the hypothesis for the test.
Ho: P = 0
Ha: p # 0
Identify the critical value(s). Select the correct choice below and
(Round to three decimal places as needed.)
in any answer
within your choice.
O A. The critical values are - to =
and to
O B. The critical value is
Calculate the test statistic.
t =
(Round to three decimal places as needed.)
What is your conclusion?
There
enough evidence at the 1% level of significance to conclude that there
a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.
Transcribed Image Text: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 variabi in braking distance on a dry surface? Use a = 0.01. Weight, x Variability in braking distance, y 5960 5350 6500 5100 5860 4800 1.75 1.99 1.92 1.56 .68 1.50 Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P = 0 Ha: p # 0 Identify the critical value(s). Select the correct choice below and (Round to three decimal places as needed.) in any answer within your choice. O A. The critical values are - to = and to O B. The critical value is Calculate the test statistic. t = (Round to three decimal places as needed.) What is your conclusion? There enough evidence at the 1% level of significance to conclude that there a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.
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