The weights (in pounds) of eight vehicles and the variabilities of their braking distances (in feet) when stopping on a wet surface are shown in the table. At a = 0.05, is there enough evidence to conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a wet surface? Weight, x 5990 5380 6500 5100 5880 4800 5500 Variability, y 2.93 2.40 4.02 1.84 2.81 2.53 2.35 5870 2.70 Setup the hypothesis for the test. Ho P=0 Ha P 0 Calculate the test statistic. t= (Round to two decimal places as needed.) Calculate the P-value. P-value (Round to three decimal places as needed.) What is your conclusion? the null hypothesis. There enough evidence at the 5% level of significance to conclude that there a significant linear correlation between vehicle weight and variability in braking distance on a wet 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 2CYU
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The weights (in pounds) of eight vehicles and the variabilities of their braking distances (in feet) when stopping on a wet surface are shown in the table. At a = 0.05, is there enough evidence to conclude that
there is a significant linear correlation between vehicle weight and variability in braking distance on a wet surface?
Weight, x
5990 5380
6500 5100 5880
4800
5500
Variability, y
2.93 2.40
4.02
1.84 2.81 2.53 2.35
5870
2.70
Setup the hypothesis for the test.
Ho P=0
Ha P 0
Calculate the test statistic.
t= (Round to two decimal places as needed.)
Calculate the P-value.
P-value (Round to three decimal places as needed.)
What is your conclusion?
the null hypothesis. There
enough evidence at the 5% level of significance to conclude that there
a significant linear correlation between vehicle weight and variability in braking
distance on a wet surface.
Transcribed Image Text:The weights (in pounds) of eight vehicles and the variabilities of their braking distances (in feet) when stopping on a wet surface are shown in the table. At a = 0.05, is there enough evidence to conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a wet surface? Weight, x 5990 5380 6500 5100 5880 4800 5500 Variability, y 2.93 2.40 4.02 1.84 2.81 2.53 2.35 5870 2.70 Setup the hypothesis for the test. Ho P=0 Ha P 0 Calculate the test statistic. t= (Round to two decimal places as needed.) Calculate the P-value. P-value (Round to three decimal places as needed.) What is your conclusion? the null hypothesis. There enough evidence at the 5% level of significance to conclude that there a significant linear correlation between vehicle weight and variability in braking distance on a wet surface.
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