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Given the following data, calculate SM1-M2-- **ROUND AND REPORT YOUR ANSWER TO TWO DECIMAL PLACES!!** Non-depressed: M₁= 24, SS₁ = 178 Depressed: M₂ = 12, SS₂=122

Given the following data, calculate SM1-M2-- **ROUND AND REPORT YOUR ANSWER TO TWO DECIMAL PLACES!!** Non-depressed: M₁= 24, SS₁ = 178 Depressed: M₂ = 12, SS₂=122

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Independent Samples t-test: s²p = (SS₁ + SS₂)/(df₁ + df₂) SM1-M2 Vs²p/n₁ + s²p/n₂ (x₁ - X₂) SM1-M2 df=(n₁-1)+(n₂-1) Formulas vou may need Given the following data, calculate SM1-M2-- Related Samples t-test: Sp=So/√n D S5 Non-depressed: M₁= 24, SS₁ = 178 Depressed: M₂ = 12, SS₂-122 Dr. Smith believes being raised by a depressed parent alters optimism. To test their hypothesis, Dr. Smith has two groups of students (five non-depressed and five depressed) take a measure of optimism and analyzes their scores. **ROUND AND REPORT YOUR ANSWER TO TWO DECIMAL PLACES!!** t = df = n -1 wwwww
Transcribed Image Text:Independent Samples t-test: s²p = (SS₁ + SS₂)/(df₁ + df₂) SM1-M2 Vs²p/n₁ + s²p/n₂ (x₁ - X₂) SM1-M2 df=(n₁-1)+(n₂-1) Formulas vou may need Given the following data, calculate SM1-M2-- Related Samples t-test: Sp=So/√n D S5 Non-depressed: M₁= 24, SS₁ = 178 Depressed: M₂ = 12, SS₂-122 Dr. Smith believes being raised by a depressed parent alters optimism. To test their hypothesis, Dr. Smith has two groups of students (five non-depressed and five depressed) take a measure of optimism and analyzes their scores. **ROUND AND REPORT YOUR ANSWER TO TWO DECIMAL PLACES!!** t = df = n -1 wwwww
TABLE A.3 Critical Values for the Student's t Distribution df 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 60 120 00 .10 .20 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.303 1.296 1.289 1.282 .05 .10 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.684 1.671 1.658 1.645 Level of Significance for One-Tailed Test .025 .01 Level of Significance for Two-Tailed Test .02 31.821 6.965 4.541 .05 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.021 2.000 1.980 1.960 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.423 2.390 2.358 2.326 .005 VENTER .01 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.660 2.617 2.576 .0005 .001 636.619 31.598 12.941 8.610 6.859 5.959 5.405 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.767 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.551 3.460 3.373 3.291 SOURCE: Lehman, R. S. (1995) Statistics in the Behavioral Sciences: A Conceptual Introduction. Pacific Grove, CA: Brooks/Cole Publishing. Reprinted by permission of the author.
Transcribed Image Text:TABLE A.3 Critical Values for the Student's t Distribution df 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 60 120 00 .10 .20 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.303 1.296 1.289 1.282 .05 .10 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.684 1.671 1.658 1.645 Level of Significance for One-Tailed Test .025 .01 Level of Significance for Two-Tailed Test .02 31.821 6.965 4.541 .05 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.021 2.000 1.980 1.960 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.423 2.390 2.358 2.326 .005 VENTER .01 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.704 2.660 2.617 2.576 .0005 .001 636.619 31.598 12.941 8.610 6.859 5.959 5.405 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.767 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.551 3.460 3.373 3.291 SOURCE: Lehman, R. S. (1995) Statistics in the Behavioral Sciences: A Conceptual Introduction. Pacific Grove, CA: Brooks/Cole Publishing. Reprinted by permission of the author.
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