0 0 0.0005 1 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.82 63.657127.321 318

Question

0 0 0.0005 1 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.82 63.657127.321 318.309 636.619 2 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14089 22.327 31.599 3 0.765 0.978 1.250 1.638 2.353 3.182 3.482 54 5.841 0.741 0.941 .190 1.533 2.132 2.776 2.999 3.7474.604 5.598 7.173 5 0.727 0.920 1.156 1.476 2.015 2.57 2.757 3.365 4.032 6 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 7 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 10 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.7643.169 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.83.055 13 0.694 0.870 1.079 1.350 77 2.160 2.282 2.650 3.012 14 0.692 0.868 1.076 1345 1.76 2.145 2.264 2.624 2.977 3.326 15 0.691 0.866 1.074 1.34 1.753 2.13 2.249 2.602 2.947 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 18 0.688 0.862 1.067 1.330 734 2.101 2.214 2.552 2.878 3.197 3.610 19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845

Explanation / Answer

here sample size=n=20, sample mean=17.44 and sample standard deviation(sd)=s=7.71

(1-alpha)*100% confidence interval for population mean=sample mean±t(alpha/2,n-1)*sd/sqrt(n)

99% confidence interval for population mean=17.44±t(0.01/2, 20-1)*7.71/sqrt(20)

=17.44±2.861*7.71/sqrt(20)=17.44±4.93=(12.51, 22.37)

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