10.5

Date: 07/28/22 Course: Math 12 Summer 2022 46544 Assignment: 10.5 11. Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.004 inch. Determine whether these 1.676 1.679 1.67 randomly selected golf balls conform to this requirement at the a = 0.10 level of significance. Assume that the population is normally distributed. 1.679 1.684 1.68 Click the icon to view the chi-square distribution table. 1.679 1.682 1.68 1.676 1.677 1.68 What are the correct hypotheses for this test? Ho: G 0.004 versus Hy: 0.004 (Type integers or decimals. Do not round.) Find the sample standard deviation. S = (Round to five decimal places as needed.) Use s to calculate the value of the test statistic. XO= (Round to two decimal places as needed.) Identify the critical value(s) for this test. The critical value is (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the correct conclusion at the a = 0.10 level of significance? Since the test statistic is (1) than the critical value, (2) the null hypothesis. There (3) sufficient evidence to conclude that these golf balls conform to the requirement at the 0.10 level of significance 1: Chi-square distribution table Chi-Square (x ) Distribution Degrees of Area to the Right of Critical Value Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 0.001 0.004 0.016 2.706 3.841 5.024 6.635 1879 0.010 0.020 0.061 0.103 0.211 4.605 5991 7.378 9.210 10.597 0.072 0.115 0.216 0.352 0.58 6.251 7815 9.348 11.345 12.838 0.207 0297 0.484 0.711 1.064 7.779 9 48 11.143 13.27 4.860 0.412 0.554 0.831 1.145 1.610 9.236 11.070 12.833 15.086 16.750 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 0.989 1.690 2.167 2.833 12.017 14.90 7 16.013 18.475 20 278 1.344 1.646 2.180 2.733 3.490 13.362 15.507 12535 20.090 21.955 1.735 2.088 2.700 3.325 4.168 14.684 15 087 16.919 19.023 21.66 23589 2156 2.558 3.247 3.940 4.865 18.307 20.483 23 20 25.188 2603 3.063 3.816 4.575 5.578 1727 19.675 21.92 24.725 26.757 3074 3.571 4.404 5.226 6.304 18.549 21.026 23.337 26 21 28.300 3565 4.107 5.009 5.892 7042 19.81 22.362 24.736 27688 29.819 4 075 4 660 5.620 6.571 7.790 21.064 23.685 26.119 29 141 31.319 4 601 5.229 6.262 7261 8.547 2.30 24.996 27.488 30578 32.801 $142 5.812 6.908 7962 9.312 23.54 26.296 28.84 3200 34.257 5.697 6 408 7564 8.672 10.085 24 769 27587 30.19 33.409 35.718 6.265 7015 8.231 9.390 10.865 25.989 28.869 31.526 34.805 37156 6.844 7633 8.907 10.117 11.651 27.204 30.144 32.85 36.19 38.582 7.434 8.260 9.591 10.851 12.443 28.412 31.410 34.170 37566 39.997 8.034 8.897 10.28 11.59 13.240 29.615 32.671 35.479 38.932 41.401 8.643 9 542 10.98 12.338 14.041 30.813 33.924 36.781 40.289 42.796 9.260 10.196 11.689 13.091 14.848 $2.00 35.172 38.076 41638 44.181 9.88 10 856 12.401 13.848 15.659 83.19 36 415 39.36 42980 45.559 10.520 11.524 13.120 14.611 16.473 34.382 37652 40.646 44.314 46.928 11.160 12198 13.844 15.379 17292 5 56 38 885 41.923 45.642 48.290 11808 14.573 16.151 18114 36.741 40.113 43.195 46.963 49 645 12.461 13.565 15.308 6.928 18.939 37.916 41.337 44.461 48.278 50993 13.12 14.256 16.047 17.708 19,768 39.087 42557 15,722 49.588 52.336 13.787 14.953 16.791 18.493 20.599 40.256 43.773 46.979 50.892 53.672 20.70 24.43 26.50 29.051 $1.80 55.758 59 34 6369 66.766 27991 29.707 32.357 34.764 37689 63.16 67.505 71.420 76.154 79 490 35 53 37485 40.48 43.188 46.459 74.39 79.082 83.29 88.379 91.952 43275 45.442 48.758 51.739 35.329 85.52 90.531 95.023 00.425 104 215 51.17 53.540 57153 60.391 64.278 96.578 101.879 105.629 112.329 116.321 5919 61.754 65.647 73.291 107.565 113.145 118.136 124.116 128.299 100 67.328 70.065 74.222 77929 82.358 118.498 124.342 129.561 135 807 140.169 Left tail Right tail -Area = 1-a Two tails - 2 The area to the Xi-. The area to the Xi-s The area to the right right of this right of this of this value is. value is a. value is 1-a The area to the right of this value is 1 - (1) O greater (2) O reject (3) O is O less O do not reject O is not