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 a = 0.01. Weight, x 5940 5350 6500 5100 5820 4800 Variability in 1.73 1.97 1.87 1.56 1.68 1.50 braking distance, y B: 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 fill in any answer boxes within your choice. (Round to three decimal places as needed.) O A. The critical value is B. The critical values are - to = and to = Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion?

Answer 1

S.No х Y (y-7) 1 2 3 4 5 6 Total 5940 5350 6500 5100 5820 4800 33510 1.73 1.97 1.87 1.56 1.68 1.5 (x-x)? 126025.0000 55225.0000 837225.0000 235225.0000 55225.0000 616225.0000 1925150.0000 0.00 0.06 0.02 0.03 0.00 0.05 0.1607 (x-x)(y-7) 4.1417 -59.1417 138.7750 76.7917 -9.0083 171.3917 322.9500 10.31 Mean 5585.000 1.7183 SSX SSY SXY

a)

null hypothesis: Ho:           ρ'=		0
Alternate Hypothesis: Ha: ρ≠		0

0.01 level,two tail test and n-2= 4 df, critical -t0=-4.604 and to =4.604

correlation r='Sxy/(√Sxx*Syy) =		0.5807
test stat t=	r*(√(n-2)/(1-r2))=	1.426

there is not sufficient evidence,....that there is a significant linear,,,,,,,,,,