Question: Section 4 - Hypothesis Test: (Using stat crunch) Using the p-value method, conduct a formal hypothesis test of the claim that, the mean FEV1 measurement
Section 4 - Hypothesis Test: (Using stat crunch)
Using the p-value method, conduct a formal hypothesis test of the claim that, the mean FEV1 measurement for children ages 3 to 19, is greater than 2.545. Use = 0.01. Include the following in your written summary of the results: a. Your null and alternate hypotheses in the proper format using standard notation. b. The type of distribution you used ( or normal). c. The p-value and its logical relationship to ( or >). d. Your decision regarding the null hypothesis: reject or fail to reject. e. A statement interpreting your decision: reject/fail to reject (or support/fail to support) the original claim that the mean FEV1 measurement for children ages 3 to 19 is greater than 2.545. Note: Section 4 only applies to FEV1. There is no hypothesis test related to Age.
| Age | FEV1 |
| 9 | 2.259 |
| 8 | 2.531 |
| 15 | 2.887 |
| 11 | 2.578 |
| 10 | 3.329 |
| 11 | 3.847 |
| 10 | 2.813 |
| 15 | 2.278 |
| 9 | 2.65 |
| 10 | 2.561 |
| 5 | 2.017 |
| 11 | 3.058 |
| 7 | 1.72 |
| 8 | 2.631 |
| 7 | 1.649 |
| 8 | 1.744 |
| 9 | 2.85 |
| 11 | 3.774 |
| 13 | 3.078 |
| 12 | 2.304 |
| 9 | 3 |
| 7 | 1.415 |
| 10 | 2.175 |
| 14 | 3.074 |
| 11 | 2.957 |
| 7 | 1.253 |
| 9 | 2.57 |
| 13 | 3.141 |
| 13 | 3.193 |
| 14 | 2.276 |
| 12 | 2.913 |
| 14 | 4.683 |
| 17 | 5.638 |
| 11 | 3.011 |
| 12 | 3.001 |
| 4 | 1.004 |
| 8 | 1.429 |
| 15 | 3.122 |
| 13 | 3.745 |
| 8 | 2.335 |
| 8 | 2.341 |
| 10 | 3.048 |
| 7 | 2.55 |
| 9 | 1.773 |
| 11 | 2.827 |
| 8 | 2.639 |
| 10 | 2.356 |
| 14 | 3.78 |
| 11 | 3.369 |
| 10 | 2.201 |
| 10 | 2.358 |
| 10 | 2.481 |
| 15 | 4.279 |
| 12 | 2.556 |
| 8 | 2.336 |
| 11 | 2.123 |
| 5 | 1.536 |
| 8 | 2.258 |
| 10 | 3.166 |
| 11 | 2.081 |
| 6 | 2.262 |
| 9 | 2.32 |
| 11 | 2.822 |
| 9 | 2.851 |
| 5 | 1.589 |
| 7 | 2.056 |
| 16 | 2.903 |
| 5 | 1.092 |
| 6 | 1.527 |
| 5 | 2.115 |
| 9 | 2.457 |
| 13 | 2.434 |
| 9 | 1.886 |
| 10 | 2.365 |
| 9 | 2.048 |
| 9 | 3.016 |
| 9 | 3.135 |
| 9 | 2.119 |
| 9 | 1.754 |
| 14 | 4.309 |
| 14 | 3.395 |
| 8 | 1.844 |
| 12 | 2.841 |
| 12 | 3.835 |
| 9 | 2.717 |
| 6 | 1.523 |
| 15 | 3.004 |
| 9 | 3.029 |
| 11 | 2.501 |
| 5 | 1.858 |
| 17 | 3.406 |
| 12 | 2.332 |
| 15 | 3.33 |
| 10 | 3.038 |
| 11 | 3.111 |
| 6 | 1.634 |
| 6 | 1.572 |
| 12 | 2.868 |
| 7 | 1.612 |
| 12 | 2.822 |
| 8 | 2.435 |
| 14 | 2.891 |
| 13 | 3.984 |
| 5 | 1.282 |
| 4 | 1.102 |
| 12 | 2.241 |
| 16 | 2.795 |
| 10 | 2.246 |
| 9 | 2.076 |
| 12 | 3.751 |
| 9 | 1.969 |
| 11 | 3.022 |
| 10 | 3.456 |
| 14 | 4.842 |
| 8 | 2.328 |
| 11 | 2.993 |
| 10 | 2.387 |
| 8 | 1.547 |
| 9 | 2.463 |
| 6 | 1.672 |
| 6 | 1.423 |
| 4 | 1.577 |
| 11 | 4.13 |
| 18 | 4.404 |
| 10 | 2.341 |
| 14 | 3.436 |
| 15 | 4.5 |
| 7 | 1.682 |
| 9 | 2.487 |
| 8 | 1.897 |
| 8 | 2.069 |
| 6 | 1.481 |
| 15 | 4.506 |
| 11 | 2.354 |
| 7 | 1.495 |
| 13 | 4.448 |
| 11 | 3.32 |
| 10 | 3.09 |
| 7 | 2.158 |
| 10 | 3.111 |
| 8 | 2.358 |
| 8 | 1.698 |
| 11 | 2.563 |
| 7 | 1.461 |
| 14 | 2.997 |
| 8 | 2.144 |
| 10 | 2.642 |
| 10 | 2.608 |
| 5 | 1.776 |
| 8 | 2.382 |
| 12 | 3.082 |
| 8 | 2.303 |
| 12 | 5.224 |
| 14 | 3.806 |
| 6 | 1.536 |
| 11 | 2.562 |
| 9 | 2.871 |
| 10 | 2.545 |
| 7 | 2.084 |
| 13 | 3.147 |
| 12 | 3.501 |
| 8 | 2.015 |
| 3 | 1.072 |
| 7 | 1.75 |
| 12 | 3.222 |
| 17 | 3.96 |
| 9 | 2.964 |
| 16 | 4.504 |
| 7 | 2.111 |
| 13 | 2.819 |
| 11 | 3.236 |
| 11 | 2.659 |
| 17 | 3.5 |
| 7 | 2.419 |
| 10 | 2.838 |
| 11 | 3.078 |
| 13 | 3.297 |
| 11 | 1.694 |
| 11 | 4.324 |
| 8 | 2.665 |
| 15 | 2.635 |
| 12 | 3.279 |
| 11 | 3.069 |
| 10 | 3.05 |
| 8 | 2.118 |
| 8 | 1.94 |
| 8 | 1.953 |
| 10 | 2.094 |
| 7 | 1.609 |
| 9 | 2.352 |
| 8 | 2.288 |
| 8 | 2.135 |
| 12 | 2.714 |
| 10 | 2.287 |
| 13 | 3.331 |
| 5 | 1.808 |
| 10 | 3.795 |
| 15 | 2.264 |
| 6 | 1.348 |
| 8 | 1.703 |
| 6 | 1.535 |
| 12 | 2.579 |
| 10 | 2.292 |
| 8 | 1.759 |
| 8 | 1.512 |
| 9 | 1.895 |
| 11 | 3.47 |
| 9 | 1.855 |
| 13 | 3.255 |
| 9 | 3.556 |
| 19 | 3.345 |
| 11 | 2.887 |
| 10 | 3.251 |
| 5 | 1.4 |
| 9 | 2.069 |
| 10 | 1.858 |
| 8 | 1.987 |
| 7 | 1.742 |
| 7 | 1.829 |
| 12 | 2.759 |
| 15 | 3.727 |
| 8 | 1.697 |
| 8 | 2.458 |
| 16 | 4.07 |
| 11 | 2.988 |
| 10 | 1.665 |
| 11 | 2.463 |
| 10 | 3.132 |
| 6 | 1.979 |
| 8 | 1.657 |
| 11 | 3.206 |
| 8 | 2.732 |
| 9 | 3.004 |
| 10 | 3.127 |
| 11 | 2.866 |
| 8 | 2.293 |
| 9 | 2.076 |
| 11 | 4.637 |
| 10 | 2.352 |
| 6 | 1.919 |
| 12 | 3.231 |
| 13 | 2.677 |
| 9 | 2.529 |
| 11 | 2.17 |
| 13 | 3.208 |
| 7 | 1.473 |
| 8 | 1.78 |
| 10 | 2.673 |
| 7 | 1.165 |
| 10 | 3.354 |
| 7 | 1.826 |
| 9 | 1.953 |
| 8 | 2.673 |
| 7 | 1.796 |
| 12 | 3.791 |
| 11 | 3.587 |
| 8 | 2.211 |
| 7 | 1.658 |
| 9 | 2.797 |
| 6 | 1.602 |
| 9 | 2.659 |
| 13 | 3.056 |
| 8 | 2.09 |
| 8 | 2.069 |
| 11 | 2.606 |
| 10 | 3.498 |
| 11 | 4.073 |
| 8 | 2.071 |
| 11 | 3.583 |
| 9 | 2.56 |
| 5 | 1.256 |
| 10 | 2.975 |
| 6 | 1.691 |
| 11 | 2.894 |
| 8 | 2.175 |
| 9 | 3.681 |
| 10 | 2.25 |
| 13 | 4.225 |
| 10 | 2.364 |
| 10 | 3.007 |
| 16 | 3.688 |
| 14 | 4.271 |
| 12 | 2.971 |
| 9 | 1.912 |
| 7 | 2.535 |
| 9 | 2.571 |
| 11 | 2.928 |
| 11 | 2.633 |
| 8 | 1.523 |
| 8 | 1.735 |
| 11 | 3.515 |
| 7 | 1.603 |
| 10 | 3.2 |
| 12 | 2.569 |
| 17 | 4.724 |
| 11 | 3.681 |
| 7 | 1.631 |
| 12 | 4.393 |
| 10 | 2.504 |
| 15 | 3.985 |
| 7 | 2.366 |
| 8 | 1.872 |
| 18 | 4.086 |
| 6 | 1.415 |
| 19 | 3.519 |
| 9 | 2.13 |
| 7 | 2.578 |
| 11 | 2.884 |
| 12 | 3.924 |
| 6 | 1.796 |
| 7 | 1.611 |
| 8 | 2.004 |
| 8 | 1.794 |
| 8 | 1.562 |
| 10 | 3.11 |
| 9 | 3.114 |
| 11 | 2.362 |
| 12 | 3.079 |
| 13 | 4.756 |
| 8 | 1.335 |
| 9 | 2.592 |
| 13 | 2.976 |
| 9 | 1.716 |
| 9 | 2.457 |
| 16 | 2.981 |
| 11 | 4.593 |
| 4 | 0.839 |
| 13 | 3.086 |
| 8 | 1.931 |
| 9 | 2.348 |
| 8 | 2.42 |
| 12 | 3.035 |
| 10 | 2.1 |
| 5 | 1.552 |
| 5 | 1.755 |
| 9 | 2.455 |
| 10 | 2.864 |
| 11 | 3.654 |
| 4 | 1.789 |
| 13 | 3.577 |
| 13 | 2.704 |
| 12 | 2.417 |
| 13 | 2.599 |
| 9 | 2.574 |
| 7 | 1.917 |
| 7 | 1.935 |
| 9 | 2.46 |
| 11 | 3.169 |
| 5 | 1.343 |
| 12 | 2.347 |
| 14 | 2.538 |
| 10 | 2.216 |
| 10 | 2.72 |
| 6 | 1.747 |
| 7 | 2.219 |
| 8 | 2.305 |
| 9 | 2.798 |
| 11 | 3.28 |
| 7 | 2.135 |
| 10 | 2.25 |
| 12 | 2.889 |
| 9 | 1.708 |
| 9 | 1.591 |
| 4 | 1.569 |
| 15 | 3.211 |
| 7 | 1.698 |
| 6 | 1.431 |
| 11 | 2.14 |
| 13 | 3.06 |
| 6 | 1.338 |
| 12 | 2.751 |
| 13 | 3.785 |
| 6 | 1.718 |
| 8 | 2.709 |
| 12 | 4.08 |
| 13 | 4.877 |
| 11 | 2.386 |
| 9 | 2.166 |
| 10 | 3.305 |
| 10 | 3.35 |
| 10 | 1.823 |
| 15 | 3.799 |
| 9 | 1.942 |
| 7 | 2.002 |
| 9 | 2.604 |
| 7 | 2.564 |
| 8 | 2.123 |
| 11 | 3.977 |
| 9 | 2.725 |
| 7 | 1.37 |
| 7 | 2.095 |
| 11 | 3.411 |
| 9 | 2.164 |
| 11 | 2.542 |
| 10 | 2.688 |
| 8 | 2.145 |
| 5 | 1.452 |
| 13 | 3.906 |
| 10 | 1.937 |
| 5 | 0.791 |
| 7 | 1.789 |
| 8 | 2.503 |
| 9 | 3.223 |
| 9 | 2.165 |
| 9 | 1.933 |
| 7 | 1.69 |
| 7 | 1.827 |
| 12 | 2.384 |
| 18 | 3.082 |
| 4 | 1.418 |
| 9 | 2.1 |
| 11 | 2.812 |
| 12 | 3.082 |
| 11 | 3.49 |
| 14 | 3.741 |
| 11 | 2.974 |
| 11 | 3.247 |
| 9 | 2.833 |
| 11 | 2.417 |
| 18 | 2.906 |
| 9 | 2.631 |
| 10 | 4.591 |
| 3 | 1.404 |
| 10 | 3.489 |
| 5 | 1.146 |
| 8 | 2.927 |
| 10 | 2.435 |
| 6 | 1.878 |
| 11 | 3.258 |
| 16 | 4.27 |
| 14 | 4.763 |
| 11 | 3.023 |
| 11 | 2.754 |
| 11 | 3.171 |
| 11 | 3.102 |
| 15 | 3.731 |
| 13 | 4.045 |
| 13 | 4.305 |
| 11 | 3.108 |
| 8 | 2.631 |
| 11 | 2.689 |
| 13 | 3.297 |
| 13 | 3.089 |
| 11 | 3.223 |
| 8 | 1.292 |
| 9 | 2.485 |
| 10 | 1.858 |
| 9 | 2.688 |
| 16 | 4.872 |
| 8 | 2.354 |
| 16 | 2.608 |
| 8 | 2.333 |
| 9 | 2.182 |
| 10 | 2.691 |
| 9 | 2.301 |
| 12 | 2.866 |
| 8 | 2.681 |
| 13 | 2.646 |
| 11 | 3.12 |
| 8 | 1.999 |
| 13 | 3.549 |
| 12 | 4.831 |
| 12 | 3.53 |
| 9 | 2.196 |
| 9 | 1.606 |
| 8 | 2.993 |
| 12 | 2.499 |
| 10 | 2.592 |
| 6 | 1.624 |
| 8 | 2.98 |
| 12 | 2.935 |
| 6 | 1.715 |
| 9 | 2.973 |
| 8 | 1.556 |
| 6 | 2.102 |
| 9 | 2.04 |
| 14 | 3.169 |
| 5 | 1.612 |
| 10 | 2.696 |
| 8 | 2.226 |
| 11 | 3.515 |
| 7 | 1.932 |
| 9 | 3.239 |
| 14 | 3.957 |
| 10 | 2.855 |
| 6 | 1.826 |
| 8 | 1.991 |
| 13 | 4.789 |
| 12 | 3.692 |
| 12 | 2.605 |
| 10 | 2.568 |
| 5 | 1.359 |
| 8 | 1.624 |
| 4 | 0.796 |
| 13 | 2.531 |
| 12 | 3.341 |
| 8 | 2.5 |
| 8 | 2.481 |
| 14 | 3.428 |
| 7 | 1.726 |
| 11 | 2.387 |
| 10 | 2.581 |
| 12 | 2.752 |
| 6 | 1.427 |
| 9 | 2.056 |
| 11 | 2.665 |
| 13 | 3.994 |
| 8 | 1.344 |
| 12 | 3.343 |
| 9 | 2.126 |
| 11 | 3.104 |
| 6 | 1.666 |
| 12 | 4.72 |
| 9 | 2.42 |
| 9 | 2.893 |
| 9 | 2.042 |
| 14 | 3.585 |
| 11 | 4.065 |
| 11 | 2.318 |
| 9 | 1.947 |
| 12 | 4.073 |
| 10 | 2.891 |
| 7 | 1.877 |
| 9 | 2.923 |
| 9 | 2.135 |
| 13 | 5.083 |
| 11 | 3.339 |
| 6 | 1.697 |
| 11 | 2.498 |
| 11 | 2.491 |
| 13 | 2.216 |
| 11 | 3.222 |
| 8 | 1.962 |
| 7 | 2.093 |
| 9 | 1.751 |
| 8 | 2.016 |
| 10 | 2.862 |
| 12 | 3.058 |
| 6 | 1.338 |
| 18 | 2.853 |
| 11 | 4.007 |
| 6 | 1.713 |
| 11 | 2.458 |
| 17 | 3.082 |
| 14 | 3.68 |
| 10 | 2.391 |
| 10 | 3.203 |
| 8 | 2.01 |
| 9 | 2.988 |
| 7 | 2.22 |
| 8 | 2.187 |
| 11 | 3.845 |
| 11 | 3.425 |
| 9 | 1.869 |
| 4 | 1.389 |
| 16 | 4.299 |
| 8 | 1.675 |
| 10 | 1.458 |
| 10 | 1.811 |
| 19 | 5.102 |
| 7 | 1.79 |
| 9 | 2.246 |
| 9 | 2.09 |
| 11 | 2.524 |
| 9 | 3.042 |
| 16 | 3.387 |
| 7 | 2.371 |
| 11 | 2.346 |
| 18 | 4.22 |
| 7 | 1.92 |
| 12 | 2.752 |
| 11 | 3.596 |
| 9 | 2.715 |
| 10 | 2.646 |
| 9 | 2.23 |
| 16 | 3.645 |
| 8 | 1.724 |
| 12 | 4.203 |
| 7 | 1.905 |
| 8 | 2.193 |
| 9 | 2.588 |
| 11 | 2.953 |
| 15 | 2.198 |
| 11 | 2.785 |
| 6 | 2.104 |
| 13 | 3.816 |
| 13 | 2.449 |
| 12 | 3.529 |
| 13 | 4.336 |
| 13 | 3.887 |
| 12 | 3.186 |
| 8 | 2.215 |
| 10 | 3.086 |
| 15 | 5.793 |
| 7 | 1.64 |
| 10 | 2.77 |
| 14 | 2.236 |
| 6 | 1.343 |
| 9 | 1.558 |
| 10 | 2.52 |
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