Question

(15 points) The t statistic for a test of Ho : 4 = 47 Ha: u > 47 based on n = 17 observations has the value t = 1.61. (a) What are the degrees of freedom for this statistic? 16 (b) Using the appropriate table in your formula packet, bound the p-value as closely as possible: <p-value <

Answer 1

T- value lies between 1.337 and 1.746

df 05 0.25 0.10 0.05 0.025 0.010 0.005 1 1 2 3 4 5 6 7 8 9 10 0 1.000 0 0.816 0 0.765 0 0.741 0 0.727 0 0.718 0 0.711 0 0.706 0 0.703 0 0.700 0.697 0 0.695 0 0.694 0 0.692 0 0.691 0 0.690 0.689 0 0.688 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1356 1.350 1.345 1341 1.337 1333 1330 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1753. 1.746 1.740 1.734 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2101 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2,602 2.583 2.567 2552 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 11 0 12 13 14 15 16 17 18 0

so p- value bound must between 0.05 and 0.10