Monthly rates of return on the shares of a particular common stock are independent of one another and normally distributed with a standard deviation of 1.7. A sample of 12 months is taken. a. Find the probability that the sample standard deviation is less than 2.5. - X - X b. Find the probability that the sample standard deviation is more than 1.2. Upper critical values for the chi-square distribution. Lower critical values for the chi-square distribution. Click the icon to view a table of lower critical values for the chi-square distribution. Click the icon to view a table of upper critical values for the chi-square distribution. PROBABILITY OF EXCEEDING THE CRITICAL VALUE PROBABILITY OF EXCEEDING THE CRITICAL VALUE 0.10 0.05 0.025 0.90 0.975 0.999 0.01 0.001 0.95 0.99 .000 .000 2.706 3.841 5.024 .635 10.828 .016 .004 .001 a. The probability is 211 .103 .051 .020 .002 4.605 5.991 7.378 9.210 13.816 584 352 216 .115 .024 6.251 7.815 9.348 11.345 16.266 1.064 .711 484 .297 .091 b. The probability is 7.779 9.488 11.143 13.277 18.467 1.610 1.145 831 .554 .210 9.236 11.070 12.833 15.086 20.515 2.204 1.635 1.237 .872 381 between 0.90 and 0.95. 10.645 12.592 14.449 16.812 22.458 2.833 2.167 1.690 1.23 598 12.017 14.067 16.013 18.475 24.322 3.490 2.733 2.180 1.646 857 between 0.99 and 0.999. FUNFOODVAGAWN- 13.362 15.507 17.535 20.090 26.125 4.168 3.325 2.700 2.088 1.152 19.023 27.877 10 4.865 2.558 1.479 14.684 16.919 21.666 3.940 3.247 greater than 0.999. .053 15.987 18.307 20.483 23.209 29.588 5.578 4.575 3.816 1.834 12 6.304 5.226 4.404 3.571 2.214 17.275 19.675 21.920 24.725 31.264 between 0.95 and 0.975. 13 7.042 5.892 5.009 4.107 2.617 18.549 21.026 23.337 26.217 32.910 14 7.790 6.571 5.629 .660 3.041 19.812 22.362 24.736 27.688 34.528 15 8.547 7.261 6.262 5.229 3.483 less than 0.90. 21.064 23.685 26.119 29.141 36.123 16 9.312 7.962 6.908 5.812 3.942 15 22.307 24.996 27.488 30.578 37.697 10.085 8.672 7.564 6.408 4.416 between 0.975 and 0.99. 16 23.542 26.296 28.845 32.000 39.252 18 10.865 9.390 8.231 7.015 4.905 17 24.769 27.587 30.191 33.409 40.790 11.651 10.117 8.907 7.633 5.407 18 25.989 28.869 31.526 34.805 42.312 12.443 10.851 9.591 8.260 5.921 8.897 19 27.204 30.144 32.852 36.191 43.820 13.240 11.591 10.283 6.447 9.542 6.983 28.412 31.410 34.170 37.566 45.315 14.041 12.338 10.982 13.091 11.689 10.19 7.529 29.615 32.671 35.479 38.932 46.797 14.848 15.659 13.848 12.401 10.856 8.085 30.813 33.924 36.781 40.289 18.268 16.473 14.611 13.120 11.524 8.649 32.007 35.172 38.076 41.638 49.728 17.292 15.379 13.844 12.198 9.222 33.196 36.415 39.364 42.980 51.179 18.114 16.151 14.573 12.879 9.803 34.382 37.652 40.646 44.314 52.620 18.939 16.928 15.308 13.565 10.391 35.563 38.885 41.923 45.642 54.052 19.768 17.708 16.047 14.256 10.986 36.741 40.113 43.195 46.963 55.476 20.599 18.493 16.79 14.95 11.589 17.916 8838 8 8 8 BAGBRAWNNB 37.916 41.337 44.461 48.278 56.892 29.05 26.509 24.433 22.16 39.087 45.722 58.30 29.70 24.674 42.557 49.588 37.689 34.764 32.357 60 46.459 43.188 10.482 37.485 31.738 40.256 43.773 46.979 50.892 59.703 70 55.329 51.739 18.758 45.442 39.036 51.805 55.758 59.342 63.691 73.402 80 64.278 60.391 57.153 53.540 46.520 63.167 67.505 71.420 76.154 86.661 90 73.291 69.126 65.647 61.75 54.155 74.397 79.082 83.298 88.379 99.607 100 82.358 77.929 74.222 70.065 61.918 85.527 90.531 95.023 100.425 112.317 0.90 0.95 0.975 0.99 0.999 96.578 101.879 106.629 112.329 124.839 107.565 113.145 118.136 124.116 137.208 Print Done Print Donebetween 0.95 and 0.975. less than 0.90. between 0.90 and 0.95. between 0.99 and 0.999. between 0.975 and 0.99. greater than 0.999