Question

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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 com Weight, x 5990 5330 6500 5100 5850 4800 Variability in braking distance, y 1.78 1.99 1.861.57 1.63 1.50 Click here to view a table of critical values for Student's t-distribution Setup the hypothesis for the test. Ho:P 7° Hap Vo 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 values are -to and to OB. The critical value is . Calculate the test statistic. t=1? (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. is not is not

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Answer 1

- Given Data, weight (x) 5990 5330 6500 5100 5850 4800 Vasrike ility 11.78 1.99 1.86 11.57 1.63 11.50 braking distance Hoip so There is no significance congelation weight and variability in braking between the wee vehicle distance on a day surface Hai Pto There is a significance weight and variability cogerelation between in baraking distance ney in boraking distance on a day salace, 6). Coritical value Degree of freedom, DF = 6-2 =4 probabidiby level = 0.01 I critical value tool= 4.604 | Test statistic we know that no

where, cogrelation coefficient, or 0.5171 l Now, from the congelatia coefficient] calculatoa 0.5171 I-0.51714 Top Posts _0.5171 0.7326 Ez _0.5171 0.4279 het beste 1.2084 = 1.209 1.209 Decision - Reject Ho, if to the on t<Exp o no The test statistic value (1.209) is less than the critical value (4.604). There no is evidence to reject the nudd hypothesis at 0.01 level of significance Conclusion de S EE . These is not enough evidence at the 14. level of significance to conclude that there is not a significance dinead connection between vehicles and variability in boglina distance on day suppface