Question

TABLE B. 2 THE \( \boldsymbol{t} \) DISTRIBUTION Table entries are values of \( t \) corresponding to proportions in one tail or in two tails combined. Two talls combined \begin{tabular}{|c|c|c|c|c|c|c|} \hline & \multicolumn{6}{|c|}{ Proportion in One Tail } \\ \hline & 0.25 & 0.10 & 0.05 & 0.025 & 0.01 & 0.005 \\ \hline \multirow[b]{2}{*}{\( d f \)} & \multicolumn{5}{|c|}{ Proportion in Two Tails Combined } & \\ \hline & 0.50 & 0.20 & 0.10 & 0.05 & 0.02 & 0.01 \\ \hline 1 & 1.000 & 3.078 & 6.314 & 12.706 & 31.821 & 63.657 \\ \hline 2 & 0.816 & 1.886 & 2.920 & 4.303 & 6.965 & 9.925 \\ \hline 3 & 0.765 & 1.638 & 2.353 & 3.182 & 4.541 & 5.841 \\ \hline 4 & 0.741 & 1.533 & 2.132 & 2.776 & 3.747 & 4.604 \\ \hline 5 & 0.727 & 1.476 & 2.015 & 2.571 & 3.365 & 4.032 \\ \hline 6 & 0.718 & 1.440 & 1.943 & 2.447 & 3.143 & 3.707 \\ \hline 7 & 0.711 & 1.415 & 1.895 & 2.365 & 2.998 & 3.499 \\ \hline 8 & 0.706 & 1.397 & 1.860 & 2.306 & 2.896 & 3.355 \\ \hline 9 & 0.703 & 1.383 & 1.833 & 2.262 & 2.821 & 3.250 \\ \hline 10 & 0.700 & 1.372 & 1.812 & 2.228 & 2.764 & 3.169 \\ \hline 11 & 0.697 & 1.363 & 1.796 & 2.201 & 2.718 & 3.106 \\ \hline 12 & 0.695 & 1.356 & 1.782 & 2.179 & 2.681 & 3.055 \\ \hline 13 & 0.694 & 1.350 & 1.771 & 2.160 & 2.650 & 3.012 \\ \hline 14 & 0.692 & 1.345 & 1.761 & 2.145 & 2.624 & 2.977 \\ \hline 15 & 0.691 & 1.341 & 1.753 & 2.131 & 2.602 & 2.947 \\ \hline 16 & 0.690 & 1.337 & 1.746 & 2.120 & 2.583 & \begin{tabular}{l} 2.941 \\ 2.921 \end{tabular} \\ \hline 17 & 0.689 & 1.333 & 1.740 & 2.110 & 2.567 & 2.898 \\ \hline 18 & 0.688 & 1.330 & 1.734 & 2.101 & 2.552 & 2.878 \\ \hline 19 & 0.688 & 1.328 & 1.729 & 2.093 & 2.539 & 2.861 \\ \hline 20 & 0.687 & 1.325 & 1.725 & 2.086 & 2.528 & 2.845 \\ \hline 21 & 0.686 & 1.323 & 1.721 & 2.080 & \begin{tabular}{l} 2.520 \\ 2.518 \end{tabular} & 2.831 \\ \hline 22 & 0.686 & 1.321 & 1.717 & 2.074 & 2.508 & 2.819 \\ \hline 23 & 0.685 & 1.319 & 1.714 & 2.069 & 2.500 & 2.807 \\ \hline 24 & 0.685 & 1.318 & 1.711 & 2.064 & 2.492 & 2.797 \\ \hline 25 & 0.684 & 1.316 & 1.708 & 2.060 & 2.485 & 2.787 \\ \hline 26 & 0.684 & 1.315 & 1.706 & 2.056 & \begin{tabular}{l} 2.479 \\ 2.479 \end{tabular} & 2.779 \\ \hline 27 & 0.684 & 1.314 & 1.703 & 2.052 & 2.473 & 2.771 \\ \hline 28 & 0.683 & 1.313 & 1.701 & 2.048 & 2.467 & 2.763 \\ \hline 29 & 0.683 & 1.311 & 1.699 & 2.045 & 2.462 & 2.756 \\ \hline 30 & \begin{tabular}{l} 0.683 \\ \end{tabular} & 1.310 & 1.697 & 2.042 & \begin{tabular}{l} 2.457 \\ 2.457 \end{tabular} & 2.750 \\ \hline 40 & \begin{tabular}{l} 0.081 \\ 0.681 \end{tabular} & 1.303 & 1.684 & 2.021 & 2.423 & 2.704 \\ \hline 60 & 0.679 & 1.296 & 1.671 & 2.000 & 2.390 & 2.660 \\ \hline 120 & 0.677 & 1.289 & 1.658 & 1.980 & 2.358 & 2.617 \\ \hline\( \infty \) & 0.674 & 1.282 & 1.645 & 1.960 & 2.326 & 2.576 \\ \hline \end{tabular} Table III of R. A. Fisher and F. Yates, Statistical Tables for Biological, Agricultural and Medical Research, 6th ed. London: Longman Group Ltd., 1974 (previousty published by Oliver and Boyd Ltd., Edinburgh). Copyright 91963 R. A. Fisher and F. Yates. Adapted and reprinted with permission of Pearson Eflucation Limited.

          TABLE B. 2 THE \( \boldsymbol{t} \) DISTRIBUTION

Table entries are values of \( t \) corresponding to proportions in one tail or in two tails combined.
Two talls combined
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline & \multicolumn{6}{|c|}{ Proportion in One Tail } \\
\hline & 0.25 & 0.10 & 0.05 & 0.025 & 0.01 & 0.005 \\
\hline \multirow[b]{2}{*}{\( d f \)} & \multicolumn{5}{|c|}{ Proportion in Two Tails Combined } & \\
\hline & 0.50 & 0.20 & 0.10 & 0.05 & 0.02 & 0.01 \\
\hline 1 & 1.000 & 3.078 & 6.314 & 12.706 & 31.821 & 63.657 \\
\hline 2 & 0.816 & 1.886 & 2.920 & 4.303 & 6.965 & 9.925 \\
\hline 3 & 0.765 & 1.638 & 2.353 & 3.182 & 4.541 & 5.841 \\
\hline 4 & 0.741 & 1.533 & 2.132 & 2.776 & 3.747 & 4.604 \\
\hline 5 & 0.727 & 1.476 & 2.015 & 2.571 & 3.365 & 4.032 \\
\hline 6 & 0.718 & 1.440 & 1.943 & 2.447 & 3.143 & 3.707 \\
\hline 7 & 0.711 & 1.415 & 1.895 & 2.365 & 2.998 & 3.499 \\
\hline 8 & 0.706 & 1.397 & 1.860 & 2.306 & 2.896 & 3.355 \\
\hline 9 & 0.703 & 1.383 & 1.833 & 2.262 & 2.821 & 3.250 \\
\hline 10 & 0.700 & 1.372 & 1.812 & 2.228 & 2.764 & 3.169 \\
\hline 11 & 0.697 & 1.363 & 1.796 & 2.201 & 2.718 & 3.106 \\
\hline 12 & 0.695 & 1.356 & 1.782 & 2.179 & 2.681 & 3.055 \\
\hline 13 & 0.694 & 1.350 & 1.771 & 2.160 & 2.650 & 3.012 \\
\hline 14 & 0.692 & 1.345 & 1.761 & 2.145 & 2.624 & 2.977 \\
\hline 15 & 0.691 & 1.341 & 1.753 & 2.131 & 2.602 & 2.947 \\
\hline 16 & 0.690 & 1.337 & 1.746 & 2.120 & 2.583 & \begin{tabular}{l}
2.941 \\
2.921
\end{tabular} \\
\hline 17 & 0.689 & 1.333 & 1.740 & 2.110 & 2.567 & 2.898 \\
\hline 18 & 0.688 & 1.330 & 1.734 & 2.101 & 2.552 & 2.878 \\
\hline 19 & 0.688 & 1.328 & 1.729 & 2.093 & 2.539 & 2.861 \\
\hline 20 & 0.687 & 1.325 & 1.725 & 2.086 & 2.528 & 2.845 \\
\hline 21 & 0.686 & 1.323 & 1.721 & 2.080 & \begin{tabular}{l}
2.520 \\
2.518
\end{tabular} & 2.831 \\
\hline 22 & 0.686 & 1.321 & 1.717 & 2.074 & 2.508 & 2.819 \\
\hline 23 & 0.685 & 1.319 & 1.714 & 2.069 & 2.500 & 2.807 \\
\hline 24 & 0.685 & 1.318 & 1.711 & 2.064 & 2.492 & 2.797 \\
\hline 25 & 0.684 & 1.316 & 1.708 & 2.060 & 2.485 & 2.787 \\
\hline 26 & 0.684 & 1.315 & 1.706 & 2.056 & \begin{tabular}{l}
2.479 \\
2.479
\end{tabular} & 2.779 \\
\hline 27 & 0.684 & 1.314 & 1.703 & 2.052 & 2.473 & 2.771 \\
\hline 28 & 0.683 & 1.313 & 1.701 & 2.048 & 2.467 & 2.763 \\
\hline 29 & 0.683 & 1.311 & 1.699 & 2.045 & 2.462 & 2.756 \\
\hline 30 & \begin{tabular}{l}
0.683 \\
\end{tabular} & 1.310 & 1.697 & 2.042 & \begin{tabular}{l}
2.457 \\
2.457
\end{tabular} & 2.750 \\
\hline 40 & \begin{tabular}{l}
0.081 \\
0.681
\end{tabular} & 1.303 & 1.684 & 2.021 & 2.423 & 2.704 \\
\hline 60 & 0.679 & 1.296 & 1.671 & 2.000 & 2.390 & 2.660 \\
\hline 120 & 0.677 & 1.289 & 1.658 & 1.980 & 2.358 & 2.617 \\
\hline\( \infty \) & 0.674 & 1.282 & 1.645 & 1.960 & 2.326 & 2.576 \\
\hline
\end{tabular}

Table III of R. A. Fisher and F. Yates, Statistical Tables for Biological, Agricultural and Medical Research, 6th ed. London: Longman Group Ltd., 1974 (previousty published by Oliver and Boyd Ltd., Edinburgh). Copyright 91963 R. A. Fisher and F. Yates. Adapted and reprinted with permission of Pearson Eflucation Limited.

TABLE B. 2 THE t DISTRIBUTION

Table entries are values of t corresponding to proportions in one tail or in two tails combined.
Two talls combined

6|c| Proportion in One Tail

0.25 0.10 0.05 0.025 0.01 0.005

[b]2*d f 5|c| Proportion in Two Tails Combined

0.50 0.20 0.10 0.05 0.02 0.01

1 1.000 3.078 6.314 12.706 31.821 63.657

2 0.816 1.886 2.920 4.303 6.965 9.925

3 0.765 1.638 2.353 3.182 4.541 5.841

4 0.741 1.533 2.132 2.776 3.747 4.604

5 0.727 1.476 2.015 2.571 3.365 4.032

6 0.718 1.440 1.943 2.447 3.143 3.707

7 0.711 1.415 1.895 2.365 2.998 3.499

8 0.706 1.397 1.860 2.306 2.896 3.355

9 0.703 1.383 1.833 2.262 2.821 3.250

10 0.700 1.372 1.812 2.228 2.764 3.169

11 0.697 1.363 1.796 2.201 2.718 3.106

12 0.695 1.356 1.782 2.179 2.681 3.055

13 0.694 1.350 1.771 2.160 2.650 3.012

14 0.692 1.345 1.761 2.145 2.624 2.977

15 0.691 1.341 1.753 2.131 2.602 2.947

16 0.690 1.337 1.746 2.120 2.583
2.941

2.921

17 0.689 1.333 1.740 2.110 2.567 2.898

18 0.688 1.330 1.734 2.101 2.552 2.878

19 0.688 1.328 1.729 2.093 2.539 2.861

20 0.687 1.325 1.725 2.086 2.528 2.845

21 0.686 1.323 1.721 2.080
2.520

2.518
2.831

22 0.686 1.321 1.717 2.074 2.508 2.819

23 0.685 1.319 1.714 2.069 2.500 2.807

24 0.685 1.318 1.711 2.064 2.492 2.797

25 0.684 1.316 1.708 2.060 2.485 2.787

26 0.684 1.315 1.706 2.056
2.479

2.479
2.779

27 0.684 1.314 1.703 2.052 2.473 2.771

28 0.683 1.313 1.701 2.048 2.467 2.763

29 0.683 1.311 1.699 2.045 2.462 2.756

30
0.683

1.310 1.697 2.042
2.457

2.457
2.750

40
0.081

0.681
1.303 1.684 2.021 2.423 2.704

60 0.679 1.296 1.671 2.000 2.390 2.660

120 0.677 1.289 1.658 1.980 2.358 2.617

∞ 0.674 1.282 1.645 1.960 2.326 2.576

Table III of R. A. Fisher and F. Yates, Statistical Tables for Biological, Agricultural and Medical Research, 6th ed. London: Longman Group Ltd., 1974 (previousty published by Oliver and Boyd Ltd., Edinburgh). Copyright 91963 R. A. Fisher and F. Yates. Adapted and reprinted with permission of Pearson Eflucation Limited.

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