Answer Happy

A random sample of 12 shearing pins is taken in a study of the Rockwell hardness of the pin head. Measurements on the Rockwell hardness are made for each of the 12, yielding an average value of 45.50 with a sample standard deviation of 1.3. Construct a 99% tolerance interval containing 95% of the measurements. Click the icon to view the table of tolerance factors for normal distributions. The tolerance interval is to. (Round to three decimal places as needed.) C

A random sample of 20 tablets of buffered aspirin contains, on average, 324.75 mg of aspirin per tablet, with a standard deviation of 0.5 mg. Find the 95% tolerance limits that will contain 99% of the tablet contents for this brand of buffered aspirin. Assume that the aspirin content is normally distributed. Click the icon to view the table of tolerance factors for normal distributions. The tolerance interval is to (Round to three decimal places as needed.)

Tolerance Factors for Normal Distributions Tolerance Factors for Normal Distributions Two-Sided Intervals Y=0.05 1-a n 0.90 0.95 0.99 2 32.019 37.674 48.430 8.380 9.916 12.861 4 5.369 6.370 8.299 5 4.275 5.079 6.634 6 3.712 4.414 5.775 7 3.369 4.007 5.248 3.136 3.732 4.891 9 2.967 3.532 4.631 10 2.839 3.379 4.433 11 2.737 3.259 4.277 12 2.655 3.162 4.150 13 2.587 3.081 4.044 14 2.529 3.012 3.955 15 2.480 2.954 3.878 16 2.437 2.903 3.812 17 2.400 2.858 3.754 18 2.366 2.819 3.702 19 2.337 2.784 3.656 20 2.310 2.752 3.615 25 2.208 2.631 3.457 2.140 2.549 3.350 2.090 2.490 3.272 40 2.052 2.445 3.213 45 2.021 2.408 3.165 50 1.996 2.379 3.126 60 1.958 2.333 3.066 70 1.929 2.299 3.021 80 1.907 2.272 2.986 90 1.889 2.251 2.958 100 1.874 2.233 2.934 150 1.825 2.175 2.859 200 1.798 2.143 2.816 250 1.780 2.121 2.788 300 1.767 2.106 2.767 1.645 1.960 2.576 0.90 0.95 0.99 30 35 ∞ n 1-a 7= 0.05 7=0.01 7= 0.05 1-a 1-a 0.90 3.870 3.345 3.279 4.307 0.95 0.99 0.90 0.95 0.99 160.193 188.491 242.300 20.581 26.260 37.094 18.930 22.401 29.055 6.156 7.656 10.553 9.398 11.150 14.527 4.162 5.144 7.042 6.612 7.855 10.260 3.407 4.203 5.741 5.337 6.345 8.301 3.006 3.708 5.062 4.613 5.488 7.187 2.756 3.400 4.642 4.147 4.936 6.468 2.582 3.187 4.354 3.822 4.550 5.966 2.454 3.031 4.143 3.582 4.265 5.594 2.355 2.911 3.981 3.397 4.045 5.308 2.275 2.815 3.852 3.250 5.079 2.210 2.736 3.747 3.130 3.727 4.893 2.155 2.671 3.659 3.029 3.608 4.737 2.109 2.615 3.585 2.945 3.507 4.605 2.068 2.566 3.520 2.872 3.421 4.492 2.033 2.524 3.464 2.808 4.393 2.002 2.486 3.414 1.974 2.453 3.370 1.949 2.423 3.331 1.926 2.396 3.295 1.838 2.292 3.158 1.777 2.220 3.064 1.732 2.167 2.995 1.697 2.126 2.941 1.669 2.092 2.898 1.646 2.065 2.863 1.609 2.022 2.807 1.581 1.990 2.765 1.559 1.965 2.733 1.542 1.944 2.706 1.527 1.927 2.684 1.478 1.870 2.611 1.450 1.837 2.570 1.431 1.815 2.542 1.417 1.800 2.522 1.282 1.645 2.326 0.90 0.95 0.99 2.753 2.703 3.221 4.230 2.659 3.168 4.161 2.494 2.972 3.904 2.385 2.841 3.733 2.306 2.748 3.611 2.247 2.677 3.518 2.200 2.621 3.444 2.162 2.576 3.385 2.103 2.506 3.293 2.060 2.454 3.225 2.026 2.414 3.173 1.999 2.382 3.130 1.977 2.355 3.096 1.905 2.270 2.983 1.865 2.222 2.921 1.839 2.191 2.880 1.820 2.169 2.850 1.645 1.960 2.576 0.90 0.95 0.99 1-a 7= 0.01 Two-Sided Intervals One-Sided Intervals 1 - a 7= 0.05 Y = = 0.01 1- - α 0.90 0.95 103.029 131.426 13.995 17.170 7.380 9.083 5.362 6.578 4.411 5.406 3.859 4.728 3.497 4.285 3.241 3.972 3.048 3.738 2.898 3.556 2.777 3.410 2.677 3.290 2.593 3.189 2.522 3.102 1.524 1.496 1.891 1.476 1.868 1.282 1.645 0.90 0.95 1-a 7= 0.01 0.99 185.617 23.896 12.387 8.939 One-Sided Intervals 7.335 6.412 5.812 2.460 3.028 2.405 2.963 2.357 2.905 2.314 2.854 3.892 2.276 2.808 3.832 2.129 2.633 3.601 3.447 2.030 2.516 1.957 2.430 3.334 1.902 2.364 3.249 1.857 2.312 3.180 1.821 2.269 1.764 2.202 1.722 2.153 3.125 3.038 2.974 2.924 1.688 2.114 1.661 2.082 2.883 1.639 2.056 2.850 2.741 1.566 1.971 1.923 2.679 2.638 2.608 2.326 0.99 5.389 5.074 4.829 4.633 4.472 4.337 4.222 4.123 4.037 3.960