10.3 Statistics
1.050 1.303 1.684 2.021 3.307 3.551 40 0.681 0.851 2.123 2.42 2.704 2.971 Print 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 50 0.679 0.848 1.04 1.296 1.671 2.000 2099 2.390 2.660 2.915 3.232 3.460 60 70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 2.899 3.211 3.435 0.678 0.846 1.043 1.292 1.664 1.990 2088 2.374 2.639 2.887 3.195 3.416 50 3.402 0.677 0.846 1.042 1.291 1.662 1.987 2.084 2.36 2.632 2.878 3.183 100 0.677 0.845 1.042 1.290 1.660 1.984 2081 2.364 2.626 2.871 3.174 3.390 3.098 3.300 1000 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.291 0.674 0.842 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.090 16. To test Ho: H = 100 versus H, : u # 100, a simple random sample of size n = 20 is obtained from a population that is known to be normally distributed. Answer parts (a)-(e). 13 Click here to view the t-Distribution Area in Right Tail. (a) If x = 104.9 and s = 9.9, compute the test statistic. t= (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the o = 0.01 level of significance, determine the critical values. The critical value(s) is/are (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? O A. O B. O C. Q Q Q (d) Will the researcher reject the null hypothesis? O A. The researcher will reject the null hypothesis since the test statistic is in the rejection region. O B. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is in the rejection region. O C. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not in the rejection region. O D. The researcher will reject the null hypothesis since the test statistic is not in the rejection region. (e) Construct a 99% confidence interval to test the hypothesis. The confidence interval is ( (Round to two decimal places as needed.) Ho based on the confidence interval because the hypothesized value u = 100 (2) in the interval. (1) 13: t-Distribution Area in Right Tail t-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 1.000 1.376 1.963 31.599 0.81 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 5.841 7.453 10.215 12.924 0.765 0.978 1.250 1.638 2353 3.182 3.482 4.541 UAWNE 0.741 0.941 1.190 1.533 2132 2.776 2.999 3.747 4.604 5.598 7.173 8.610 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.89 6.869 0.727 5.959 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 0.71 0.896 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 4.297 4.781 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.587 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.58 4.14 4.025 4.437 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 11 1.356 2.17 2.303 2.681 3.055 3.428 3.930 4.318 0.695 0.873 1.083 1.782 13 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 3.326 3.787 4.140 14 14 0.692 0.868 1.076 1.345 1.761 2145 2.264 2.624 2.977 1.074 1.34 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 15 15 0.691 0.866 16 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 0.690 2.110 2.224 2.567 2.898 3.222 3.646 3.965 0.689 0.863 1.069 1.333 1.740 18 0.862 1.067 1.330 1.734 2.101 2.214 2.552 0.688 2.878 3.197 3.610 3.922 3.883 19 3.579 0.688 0.861 1.066 1.328 1.729 2093 2.205 2.539 2.861 3.174 3.850 20 20 2.845 3.153 3.552 0.687 0.860 1.064 1325 1.725 2.086 2.197 2.528 0.686 0.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 2.508 2.819 3.119 3.509 3.792 0.686 0.858 1.061 1.321 1.717 2.074 2.183 3.104 3.485 3.768 0.685 0.858 ..060 1.319 1.714 2.069 2.177 2.500 2.807 0.857 1.059 1.318 1.711 2064 2.172 2.492 2.797 3.091 3.467 3.74 0.685 1.708 2.167 3.078 3.450 3.725 0.684 0.856 1.058 1.316 2.060 2.485 2.787 3.435 3.707 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 2.052 2.158 2.473 2.771 3.057 3.421 3.690 0.684 0.855 1.057 1.314 1.703 0.683 0.855 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 0.683 0.854 3.030 3.646 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.385 0.682 0.853 1.054 1.309 1.696 2.040 2.144 2.453 2.744 3.022 3.375 3.633 3.622 0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449 2.738 3.015 3.365 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733 3.008 3.356 3.611 1.052 1.307 1.691 2.032 2.136 2.441 2.728 3.002 3.348 3.601 0.682 0.852 3.591 0.682 0.852 1.05 1.306 1.690 2.030 2.133 2.438 2.724 2.996 3.34 2.719 2.990 3.333 3.582 36 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2.434 2.715 2985 3.326 3.574 37 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.980 3.319 3.56 38 0.681 0.851 1.051 1.304 1.686 2.024 2.127 2.429 2.712 2.708 2976 3.313 3.558 39 39 0.681 0.851 1.050 1.304 1.685 2.023 2.125 2.426 40 3.551 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.261 3.496 50 0.679 0.849 1.047 1.299 1.670 2.009 2.109 2.403 2.678 2.937 2.000 2.099 2.390 2.660 2.915 3.232 3.460 60 0.679 0.848 1.045 1.296 1.671 2.899 3.211 3.435 70 0.678 0.847 1.04 1.294 1.667 1.994 2.093 2.381 2.648 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 0.677 0.846 1.042 1.291 1.662 1.987 2.084 2.368 2.632 2.878 3.183 3.402 3.174 3.390 100 100 0.677 0.845 1.042 1.290 1.660 1.984 2.081 2.364 2.626 2.871 1.037 1.282 1.646 1.962 2.056 2.330 2.581 2.813 3.098 3.300 1090 1000 0.675 0.842 2 807 3.090 3.291 0.674 0 812 1.036 1282 1.645 1 960 2 054 2.326 2.576 2.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df df 0.25 0.20 0.15 0.10
