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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 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 = 0.05. Weight, X 5920 5330 6500 5100 5880 4800 Variability in 1.96 1.59 1.62 braking distance, y 1.78 1.94 1.50 ck here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P Vo Ha: P 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 =. 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 5% level of significance to conclude that there a significant linear correlation between vehicle weight and variability in braking distance on a dry surface.- X Data table Level of confidence, c 0.50 0.80 0.90 0.95 0.98 0.99 One tail, or 0.25 0.10 0.05 0.025 0.01 0.005 d.f. Two tails, or 0.50 0.20 0.10 0.05 0.02 0.01 1.000 3.078 6.314 12.706 31.821 63.657 0.816 1.886 2.920 4.303 6.965 9.925 0.765 1.638 2.353 3.182 4.541 5.841 0.741 1.533 2.132 2.776 3.747 4.604 0.727 1.476 2.015 2.571 3.365 4.032 0.718 1.440 1.943 2.447 3.143 3.707 0.711 1.415 1.895 2.365 2.998 3.499 0.706 1.397 1.860 2.306 2.896 3.355 0.703 1.383 1.833 2.262 2.821 3.250 0.700 1.372 1.812 2.228 2.764 3.169 0.697 1.363 1.796 2.201 2.718 3.106 0.695 1.356 1.782 2.179 2.681 3.055 0.694 1.350 1.771 2.160 2.650 3.012 14 0.692 1.345 1.761 2.145 2.624 2.977 15 0.691 1.341 1.753 2.131 2.602 2.947 16 0.690 1.337 1.746 2.120 2.583 2.921 17 0.689 1.333 1.740 2.110 2.567 2.898 18 0.688 1.330 1.734 2.101 2.552 2.878 19 0.688 1.328 1.729 2.093 2.539 2.861 20 0.687 1.325 1.725 2.086 2.528 2.845 21 0.686 1.323 1.721 2.080 2.518 2.831 22 0.686 1.321 1.717 2.074 2.508 2.819 23 0.685 1.319 1.714 2.069 2.500 2.807 24 0.685 1.318 1.711 2.064 2.492 2.797 25 0.684 1.316 1.708 2.060 2.485 2.787 26 0.684 1.315 1.706 2.056 2.479 2.779 27 0.684 1.314 1.703 2.052 2.473 2.771 28 0.683 1.313 1.701 2.048 2.467 2.763 29 0.683 1.311 1.699 2.045 2.462 2.756 0.674 1.282 1.645 1.960 2.326 2.576 Print Done
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