Question:
Willoughby, Porter, Belsito, and Yearsley (1999) investigated the effectiveness of special study strategies among elementary school children for the task of learning factual information about unfamiliar animals. Their study included three grade levels and three treatment conditions. Summary information for only the fourth and sixth graders in the keyword strategy condition is presented in this exercise. The mean memory test performance of the 15 fourth graders was 8.20, with SS equal to 102.06. The mean memory test performance of the 15 sixth graders was 10.73, with SS equal to 168.57. Was there a significant difference between the memory performance of the fourth and sixth graders? Follow the steps below to answer this question. Designate the fourth graders as group 1 and the sixth graders as group 2.
1. Calculate the degrees of freedom.
2. Use Table B in Appendix C of your textbook to identify the critical t value for a two-tailed test with alpha equal to .05.
3. Calculate the pooled variance estimate.
4. Calculate the estimated standard error.
5. Calculate observed t.
6. Present the statistical decision.
7. Present a verbal summary of the results.
Transcribed Image Text:
Table B CRITICAL VALUES OF t -fant tont tert Two-tailed or Nondirectional Test One-tailed or Directional Test LEVEL OF SIGNIFICANCE LEVEL OF SIGNIFICANCE p> 05 p<.05 p<.01 p<.001 p> 05 p< 05 p<.01 p<.001 .05 .01* 001 .05 .01 31.821 6.965 4.541 3.747 3.365 .001 318.31 1 2 3 12.706 4.303 63.657 636.62 31.598 12.924 6.314 2.920 2.353 2.132 2 3 3.182 2.776 2.571 9.925 5.841 4.604 4.032 22.326 10.213 7.173 5.893 8.610 5 6.869 2,015 1.943 1.895 3.143 2998 2.896 2.821 2.764 5.208 4.785 4.501 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 3.707 3.499 3.355 5.959 5.408 5.041 4,781 4.587 7 8 1.860 1.833 1.812 3.250 4.297 10 3. 169 10 4,144 11 12 13 3.106 3.055 3.012 2.977 4.437 4.318 11 1.796 2.718 2.681 2.650 2.624 2.602 4.025 3.930 3.852 3.787 12 1.782 1.771 14 15 4.221 4.140 4.073 13 14 15 1.761 2.947 1.753 3.733 16 17 18 19 20 2.120 2.110 2.101 2.093 2.921 2.898 2.878 2.861 2.845 4.015 3.965 3.922 3.883 3.850 16 3.686 17 18 19 20 1.746 1.740 1.734 1.729 1.725 2.583 2.567 2.552 2.539 2.528 3.646 3.610 3.579 3.552 2.086 21 22 23 24 2.080 2074 2.069 2.064 2.060 2.831 3.819 3.792 3.767 21 22 23 24 1.721 1.717 1.714 2.518 2.508 2.819 2.807 2.797 2.787 2.500 2.492 2.485 3.527 3.506 3.485 3.467 3.450 3.745 3.725 1.711 1.708 25 25 26 27 2.056 2.052 2.048 2.045 2.042 2.779 2.771 2.763 2.756 3.707 3.690 26 27 1.706 2479 3.435 3.421 3.408 1.703 1.701 1.699 1.697 2473 28 29 30 3.674 3.659 3.646 28 29 30 2.467 2462 3.395 3.385 2.750 2.457 40 60 120 2.021 2.000 1.980 2.704 3.551 3.460 3373 3291 40 1.684 1.671 1.658 1.645 2.423 2.390 2.358 2.326 3.307 2,660 2.617 2.576 60 120 3.232 3. 180 3.090 1.960