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A manufacturer of colored candies states that 13​% of the candies in a bag should be​ brown, 14​% ​yellow, 13​% ​red, 24​% ​blue, 20​% ​orange, and 16​% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at α=0.05 level of significance. Using the level of significance α=0.05​, test whether the color distribution is the same.   color brown yellow red blue orange  green frequency 63 64 52 63 82 65 claimed proportion 0.13 0.14 0.13 0.24 0.20 0.16

A manufacturer of colored candies states that 13​% of the candies in a bag should be​ brown, 14​% ​yellow, 13​% ​red, 24​% ​blue, 20​% ​orange, and 16​% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at α=0.05 level of significance. Using the level of significance α=0.05​, test whether the color distribution is the same.   color brown yellow red blue orange  green frequency 63 64 52 63 82 65 claimed proportion 0.13 0.14 0.13 0.24 0.20 0.16

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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A manufacturer of colored candies states that 13​% of the candies in a bag should be​ brown, 14​% ​yellow, 13​% ​red, 24​% ​blue, 20​% ​orange, and 16​% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at α=0.05 level of significance. Using the level of significance α=0.05​, test whether the color distribution is the same.

 

color brown yellow red blue orange  green
frequency 63 64 52 63 82 65
claimed proportion 0.13 0.14 0.13 0.24 0.20 0.16
A 2 Degrees of freedom 34567 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1|-- 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 B 0.995 0.01 0.072 0.207 0.412 0.676 0.989 1.344 1.735 2.156 2.603 3.074 3.565 4.075 4.601 5.142 5.697 6.265 6.844 7.434 8.034 8.643 C 0.99 D 0.975 0.001 0.051 E 0.95 0.004 0.103 0.216 0.352 0.484 0.711 0.831 1.145 1.237 1.635 1.69 2.18 2.7 3.247 2.167 2.733 3.325 3.94 4.575 3.816 4.404 5.226 5.009 5.892 5.629 6.571 6.262 7.261 6.908 7.962 7.564 8.672 8.231 9.39 8.907 10.117 10.851 11.591 12.338 0.02 0.115 0.297 0.554 0.872 1.239 1.646 2.088 2.558 3.053 3.571 4.107 4.66 5.229 5.812 6.408 7.015 7.633 8.26 9.591 8.897 10.283 9.542 10.982 F J 0.005 0.9 0.016 0.211 0.1 2.706 4.605 0.584 6.251 0.01 6.635 7.879 9.21 10.597 11.345 12.838 14.86 16.75 18.548 20.278 21.955 23.589 25.188 H | 0.05 0.025 3.841 5.024 5.991 7.378 7.815 9.348 1.064 7.779 9.488 11.143 13.277 1.61 9.236 11.07 12.833 15.086 2.204 10.645 12.592 14.449 16.812 2.833 12.017 14.067 16.013 18.475 3.49 13.362 15.507 17.535 20.09 4.168 14.684 16.919 19.023 21.666 4.865 15.987 18.307 20.483 23.209 5.578 17.275 19.675 21.92 24.725 18.549 21.026 23.337 26.217 19.812 22.362 24.736 27.688 7.79 21.064 23.685 26.119 29.141 8.547 22.307 24.996 27.488 30.578 9.312 23.542 26.296 28.845 32 34.267 10.085 24.769 27.587 30.191 33.409 35.718 10.865 25.989 28.869 31.526 34.805 37.156 11.651 27.204 30.144 32.852 36.191 38.582 12.443 28.412 31.41 34.17 37.566 39.997 13.24 29.615 32.671 35.479 38.932 41.401 14.041 30.813 33.924 36.781 40.289 42.796 26.757 28.3 6.304 7.042 29.819 31.319 32.801 G ㅇㅈ L M N O ▶
Transcribed Image Text:A 2 Degrees of freedom 34567 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1|-- 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 B 0.995 0.01 0.072 0.207 0.412 0.676 0.989 1.344 1.735 2.156 2.603 3.074 3.565 4.075 4.601 5.142 5.697 6.265 6.844 7.434 8.034 8.643 C 0.99 D 0.975 0.001 0.051 E 0.95 0.004 0.103 0.216 0.352 0.484 0.711 0.831 1.145 1.237 1.635 1.69 2.18 2.7 3.247 2.167 2.733 3.325 3.94 4.575 3.816 4.404 5.226 5.009 5.892 5.629 6.571 6.262 7.261 6.908 7.962 7.564 8.672 8.231 9.39 8.907 10.117 10.851 11.591 12.338 0.02 0.115 0.297 0.554 0.872 1.239 1.646 2.088 2.558 3.053 3.571 4.107 4.66 5.229 5.812 6.408 7.015 7.633 8.26 9.591 8.897 10.283 9.542 10.982 F J 0.005 0.9 0.016 0.211 0.1 2.706 4.605 0.584 6.251 0.01 6.635 7.879 9.21 10.597 11.345 12.838 14.86 16.75 18.548 20.278 21.955 23.589 25.188 H | 0.05 0.025 3.841 5.024 5.991 7.378 7.815 9.348 1.064 7.779 9.488 11.143 13.277 1.61 9.236 11.07 12.833 15.086 2.204 10.645 12.592 14.449 16.812 2.833 12.017 14.067 16.013 18.475 3.49 13.362 15.507 17.535 20.09 4.168 14.684 16.919 19.023 21.666 4.865 15.987 18.307 20.483 23.209 5.578 17.275 19.675 21.92 24.725 18.549 21.026 23.337 26.217 19.812 22.362 24.736 27.688 7.79 21.064 23.685 26.119 29.141 8.547 22.307 24.996 27.488 30.578 9.312 23.542 26.296 28.845 32 34.267 10.085 24.769 27.587 30.191 33.409 35.718 10.865 25.989 28.869 31.526 34.805 37.156 11.651 27.204 30.144 32.852 36.191 38.582 12.443 28.412 31.41 34.17 37.566 39.997 13.24 29.615 32.671 35.479 38.932 41.401 14.041 30.813 33.924 36.781 40.289 42.796 26.757 28.3 6.304 7.042 29.819 31.319 32.801 G ㅇㅈ L M N O ▶
25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 9.26 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 44.181 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42.98 45.559 10.52 11.524 13.12 14.611 16.473 34.382 37.652 40.646 44.314 46.928 11.16 12.198 13.844 15.379 17.292 35.563 38.885 41.923 45.642 48.29 11.808 12.879 14.573 16.151 18.114 36.741 40.113 43.195 46.963 49.645 12.461 13.565 15.308 16.928 18.939 37.916 41.337 44.461 48.278 50.993 13.121 14.256 16.047 17.708 19.768 39.087 42.557 45.722 49.588 52.336 13.787 14.953 16.791 18.493 20.599 40.256 43.773 46.979 50.892 53.672 20.707 22.164 24.433 26.509 29.051 51.805 55.758 59.342 63.691 66.766 27.991 29.707 32.357 34.764 37.689 63.167 67.505 71.42 76.154 79.49 35.534 37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379 91.952 43.275 45.442 48.758 51.739 55.329 85.527 90.531 95.023 100.425 104.215 51.172 53.54 57.153 60.391 64.278 96.578 101.879 106.629 112.329 116.321 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 124.116 128.299 67.328 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 140.169
Transcribed Image Text:25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 9.26 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 44.181 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42.98 45.559 10.52 11.524 13.12 14.611 16.473 34.382 37.652 40.646 44.314 46.928 11.16 12.198 13.844 15.379 17.292 35.563 38.885 41.923 45.642 48.29 11.808 12.879 14.573 16.151 18.114 36.741 40.113 43.195 46.963 49.645 12.461 13.565 15.308 16.928 18.939 37.916 41.337 44.461 48.278 50.993 13.121 14.256 16.047 17.708 19.768 39.087 42.557 45.722 49.588 52.336 13.787 14.953 16.791 18.493 20.599 40.256 43.773 46.979 50.892 53.672 20.707 22.164 24.433 26.509 29.051 51.805 55.758 59.342 63.691 66.766 27.991 29.707 32.357 34.764 37.689 63.167 67.505 71.42 76.154 79.49 35.534 37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379 91.952 43.275 45.442 48.758 51.739 55.329 85.527 90.531 95.023 100.425 104.215 51.172 53.54 57.153 60.391 64.278 96.578 101.879 106.629 112.329 116.321 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 124.116 128.299 67.328 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 140.169
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