Consider a random sample of seven college students at a particular university (n = 7), where H is the number of hours of study on the day prior to the final exam. H (3, 3, 5, 6, 7, 8, 10} Suppose that a professor claims that the typical college student studies more than 4 hours on the day prior to the final exam. Assume that the population distribution for hours of study is normally distributed. A. B. C. What is the null hypothesis? What is the alternative hypothesis? Can you reject the null hypothesis at the 10-percent level of significance? Can you reject the null hypothesis at the 5-percent level of significance? Use the critical value approach. You can use R to look up critical values, 1 but you must show all of your calculations and explain. Use R, however, to check your work. What is the 95-percent confidence interval for hours of study? Provide a written interpretation of what your 95-percent confidence interval implies. df 1 2 3 5 6 7 8 9 10 t Area in right tail 0.25 0.20 0.15 0.10 0.05 1.000 1.376 1.963 3.078 6.314 0.816 1.061 1.386 1.886 2.920 0.765 0.978 1.250 1.638 2.353 0.741 0.941 1.190 1.533 2.132 1.156 1.476 2.015 1.134 1.440 1.943 0.727 0.920 0.718 0.906 0.711 0.896 1.119 1.415 1.895 0.706 0.889 1.108 1.397 1.860 0.703 0.883 1.100 1.383 1.833 0.700 0.879 1.093 1.372 1.812 0.697 0.876 1.088 1.363 1.796 2.201 0.695 0.873 1.083 1.356 1.782 1.350 1.771 1.345 1.761 1.341 1.753 11 12 13 0.694 0.870 1.079 14 0.692 0.868 1.076 15 0.691 0.866 1.074 16 0.690 0.865 1.071 17 0.689 0.863 1.069 18 0.688 0.862 1.067 19 0.688 0.861 1.066 20 0.687 0.860 1.064 1.337 1.746 1.333 1.740 1.330 1.734 1.328 1.729 1.325 1.725 TABLE III t-Distribution Area In Right Tail 0.025 0.02 0.01 12.706 15.894 31.821 4.303 4.849 3.182 3.482 4.541 2.776 2.999 3.747 2.571 2.757 3.365 21 0.686 0.859 1.063 1.323 1.721 22 0.686 0.858 1.061 1.321 1.717 23 0.685 0.858 1.060 1.319 1.714 24 0.685 0.857 1.059 1.318 1.711 25 0.684 0.856 1.058 1.316 1.708 2.447 2.365 2.306 2.262 2.228 2.120 2.110 2.101 2.093 2.086 2.612 2.517 2.449 2.398 2.359 2.080 2.074 2.069 2.064 2.060 2.328 2.718 2.179 2.303 2.681 2.282 2.650 2.160 2.145 2.264 2.624 2.131 2.249 2.602 0.005 63.657 6.965 9.925 5.841 4.604 4.032 2.189 2.183 2.177 3.143 2.998 2.896 2.821 2.764 2.235 2.583 2.224 2.567 2.214 2.552 2.205 2.539 2.197 2.528 2.172 2.167 2.518 2.508 2.500 2.492 2.485 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 2.861 2.845 2.831 2.819 2.807 2.797 2.787