PURPOSE: To demonstrate your understanding of the recent concepts covered in the course. By analyzing the data in this problem set, you will have to apply what we have learned in class and calculate various statistics based on the questions asked. By completing this problem set, you will gain a more sophisticated understanding of statistics and how they are applied. SKILLS ASSESSED: * Applying knowledge of material from Chapters 11-13. * Calculating appropriate statistics for the questions asked. TASK: 1. Open the Problem Set #3, Attempt #2 file under the Quizzes tab in Brightspace 2. Answer the questions on Brightspace for the Problem Set #3 quiz. (Although there may be some slight wording changes, | have provided the questions for the problem set below for your convenience. However, you will only submit your answers on Brightspace, so there is no need to complete the responses on this page.) CRITERIA FOR SUCCESS: Each question is worth the number of points indicated next to it. These points will be posted on the Quiz in Brightspace for PS #3. I. A researcher 1s interested in understanding if perfume affects how attractive a person is perceived to be. To examine this phenomenon, the research randomly assigns the participants to rate the attractiveness of an individual from one of three groups: no perfume, a small amount of perfume, and a large amount of perfume. Below are the ratings to how attractive the participants find the individual: NO Perfume A SMALL Amount of Perfume A LARGE Amount of Perfume 5 4 2 3 2 3 6 0 5 4 1 4 5 2 Run the appropriate test to determine if the amount of perfume affects the wearer's level of attractiveness. Be sure to calculate an effect size for this result as well. II. A researcher wants to know if hair color is associated with intelligence. To this end, the researcher recruits 21 blonds and 15 brunettes. The researcher then assesses each person's intelligence and comes up with the following results. In the blond group, there are 9 with below-average intelligence, 8 with average intelligence, and 4 with above-average intelligence. In the brunette group, there are 2 with below-average intelligence, 6 with average intelligence, and 7 with above-average intelligence. Analyze the data with the appropriate test to see if hair color is associated with intelligence. Be sure to calculate an effect size for this result as well. NEEDED MATERIALS Values for Studentized Range Statistic (q,) Alpha = 0.05 k--> 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 15 20 17.969 26.976 32.819 37.082 40.408 43.119 45.397 47.357 49.071 50.592 51.957 53.194 54.323 55.361 56.320 57.212 58.044 58.824 59.558 6.085 8.331 9.798 10.881 11.734 12.435 13.027 13.539 13.988 14.389 14.749 15.076 15.375 15.650 15.905 16.143 16.365 16.573 16.769 4.501 5.910 6.825 7.502 8.037 8478 8.852 9.177 9.462 9.717 9.946 10.155 10.346 10.522 10.686 10.838 10.980 11.114 11.240 3.926 5.040 5.757 6.287 6.706 7.053 7.347 7.602 7.826 8.027 8.208 8.373 8524 B8.664 8.733 8914 9.027 9133 9.233 4.602 5218 5.673 6.033 6.330 6.582 6.801 6.995 7.167 7.323 7466 7596 7.716 7.828 7.932 8.030 8.122 8.208 3.460 4.335 4.896 5.305 5.628 5.895 6.122 6.319 6.493 6.649 6.789 6.917 7.034 7.143 7244 7.338 7426 7.508 7.586 3.344 4165 4.681 5.060 5.359 5606 5.815 5.997 6.158 6.302 6.431 6.550 6658 6.759 6.852 6.939 7.020 7.097 7.169 3.261 4.041 4529 4.886 5.167 5.399 5.596 5.767 5.91B 6.053 6.175 6.287 6.389 6.483 6.571 6.653 6.729 6.B01 6.869 3.199 3.948 4415 4.755 5.024 5244 5432 5.595 5738 5.867 5.983 6.089 6186 6.276 6.359 6437 6.510 6.579 6.643 3.877 4.327 4.654 4912 5.124 5.304 5.460 5598 5.722 5.833 5935 6.028 6.114 6.194 6.269 6.339 6.405 6.467| 11) 3.113 3.820 4.256 4.574 4.823 5.028 5.202 5.353 5.486 5.605 5.713 5.811 55901 5984 6.062 6.134 6.202 6.265 6.325 12| 3.081 3.773 4.199 4.508 4.750 4550 5.119 5.265 5.395 5.510 5.615 5710 5797 5878 5.953 6.023 6.085 6.151 6.209 13| 3.055 3.734 4.151 4.453 4.690 4384 5.049 5.192 5318 5431 5533 5625 5711 5789 5.862 5931 5995 6.055 6.112 ; 14| 3.033 3.701 4.111 4.407 4.639 4.829 4.990 5.130 5.253 5.364 5463 5.554 5637 5.714 5.785 5.852 5915 5973 6.029 | 15| 3.014 3.673 4.076 4.367 4.595 4.782 4.340 5.077 5.198 5.306 5.403 5452 5574 5.649 5.719 5785 5.846 5.904 5.958 | 16| 2.998 3.649 4.046 4.333 4.557 4.741 4.896 5.031 5150 5256 5.352 5.439 5519 5593 5.662 5726 5.786 5.843 5.896 17| 2.984 3.628 4.020 4.303 4.524 4705 4.858 4.991 5108 5.212 5.306 5.392 5471 5.544 5.612 5.675 5.734 5.790 5.842 18| 2971 3.609 3.997 4.276 4.494 4673 4.824 4955 5.071 5173 5.266 5351 5429 5.501 5.567 5.629 5.688 5.743 5.794 | 18| 2960 3593 3977 4.253 4468 4645 4794 4924 5037 5139 5231 5314 5391 5462 5528 5589 5.647 5701 5.752 20| 2950 3.578 3958 4.232 4.445 4620 4.768 4.895 5008 5108 5.199 5282 5357 5427 5492 5553 5.610 5.663 5.714 | 21 2,941 3.565 3.942 4.213 4.424 4597 4743 4.870 4981 5081 5170 5252 5327 539 5460 5520 5576 5629 5.679 | 22| 2.933 3.553 3.927 4.19% 4.405 4577 4.722 4.847 4.957 5.056 5.144 5.225 5.299 5.368 5.431 5431 5546 5.599 5.648 23| 2926 3.542 3914 4.180 4.388 4.558 4.702 4.826 4.935 5.033 5.121 5.201 5.274 5.342 5.405 5464 5.519 5.571 5.620 | 24| 2919 3.532 3901 4.166 4.373 4541 4684 4807 4915 5.012 5099 5179 5251 5.319 5381 5439 5454 5545 5.594 | 25| 2913 3.523 3.890 4.153 4.358 4.526 4.667 4.789 4.897 4.993 5.079 5.158 5230 5.297 5.359 5417 5471 5522 5.570 a = W 0N O W B W N w o i w 5 w & 2