Use Table 4 or SALT to approximate the p-value for the t statistic in the following situation. part a) a two-tailed test with t = −1.18 and 26 df part b) a left-tailed test with t = −9.01 and 5 df

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Use Table 4 or SALT to approximate the p-value for the t statistic in the following situation.


part a) a two-tailed test with t = −1.18 and 26 df

part b) a left-tailed test with t = −9.01 and 5 df

# Table 4: Critical Values of t

This table provides critical values for the t-distribution, which are used in statistical analyses to determine the significance of t-tests. The table shows values across different degrees of freedom (df) for common significance levels.

| df | t<sub>.10</sub> | t<sub>.05</sub> | t<sub>.025</sub> | t<sub>.01</sub> | t<sub>.005</sub> | df |
|----|-----------------|----------------|----------------|----------------|-----------------|----|
| 1  | 3.078           | 6.314          | 12.706         | 31.821         | 63.657          | 1  |
| 2  | 1.886           | 2.920          | 4.303          | 6.965          | 9.925           | 2  |
| 3  | 1.638           | 2.353          | 3.182          | 4.541          | 5.841           | 3  |
| 4  | 1.533           | 2.132          | 2.776          | 3.747          | 4.604           | 4  |
| 5  | 1.476           | 2.015          | 2.571          | 3.365          | 4.032           | 5  |
| 6  | 1.440           | 1.943          | 2.447          | 3.143          | 3.707           | 6  |
| 7  | 1.415           | 1.895          | 2.365          | 2.998          | 3.499           | 7  |
| 8  | 1.397           | 1.860          | 2.306          | 2.896          | 3.355           | 8  |
| 9  | 1.383           | 1.833          | 2.262          | 2.821          | 3.250           | 9  |
| 10 | 1.372           | 1.812          | 2.228          | 2.764          | 3.169
Transcribed Image Text:# Table 4: Critical Values of t This table provides critical values for the t-distribution, which are used in statistical analyses to determine the significance of t-tests. The table shows values across different degrees of freedom (df) for common significance levels. | df | t<sub>.10</sub> | t<sub>.05</sub> | t<sub>.025</sub> | t<sub>.01</sub> | t<sub>.005</sub> | df | |----|-----------------|----------------|----------------|----------------|-----------------|----| | 1 | 3.078 | 6.314 | 12.706 | 31.821 | 63.657 | 1 | | 2 | 1.886 | 2.920 | 4.303 | 6.965 | 9.925 | 2 | | 3 | 1.638 | 2.353 | 3.182 | 4.541 | 5.841 | 3 | | 4 | 1.533 | 2.132 | 2.776 | 3.747 | 4.604 | 4 | | 5 | 1.476 | 2.015 | 2.571 | 3.365 | 4.032 | 5 | | 6 | 1.440 | 1.943 | 2.447 | 3.143 | 3.707 | 6 | | 7 | 1.415 | 1.895 | 2.365 | 2.998 | 3.499 | 7 | | 8 | 1.397 | 1.860 | 2.306 | 2.896 | 3.355 | 8 | | 9 | 1.383 | 1.833 | 2.262 | 2.821 | 3.250 | 9 | | 10 | 1.372 | 1.812 | 2.228 | 2.764 | 3.169
### Table 4 (Continued)

This table provides critical t-values for different degrees of freedom (df) and significance levels. The values are calculated using Minitab software and are essential for statistical analysis, especially in hypothesis testing.

| df | t₀.₁₀₀ | t₀.₀₅₀ | t₀.₀₂₅ | t₀.₀₁₀ | t₀.₀₀₅ | df |
|----|--------|--------|--------|--------|--------|----|
| 36 | 1.306  | 1.688  | 2.028  | 2.434  | 2.719  | 36 |
| 37 | 1.305  | 1.687  | 2.026  | 2.431  | 2.715  | 37 |
| 38 | 1.304  | 1.686  | 2.024  | 2.429  | 2.712  | 38 |
| 39 | 1.304  | 1.685  | 2.023  | 2.426  | 2.708  | 39 |
| 40 | 1.303  | 1.684  | 2.021  | 2.423  | 2.704  | 40 |
| 45 | 1.301  | 1.679  | 2.014  | 2.412  | 2.690  | 45 |
| 50 | 1.299  | 1.676  | 2.009  | 2.403  | 2.678  | 50 |
| 55 | 1.297  | 1.673  | 2.004  | 2.396  | 2.668  | 55 |
| 60 | 1.296  | 1.671  | 2.000  | 2.390  | 2.660  | 60 |
| 65 | 1.295  | 1.669  | 1.997  | 2.385  | 2.654  | 65 |
| 70 | 1.294
Transcribed Image Text:### Table 4 (Continued) This table provides critical t-values for different degrees of freedom (df) and significance levels. The values are calculated using Minitab software and are essential for statistical analysis, especially in hypothesis testing. | df | t₀.₁₀₀ | t₀.₀₅₀ | t₀.₀₂₅ | t₀.₀₁₀ | t₀.₀₀₅ | df | |----|--------|--------|--------|--------|--------|----| | 36 | 1.306 | 1.688 | 2.028 | 2.434 | 2.719 | 36 | | 37 | 1.305 | 1.687 | 2.026 | 2.431 | 2.715 | 37 | | 38 | 1.304 | 1.686 | 2.024 | 2.429 | 2.712 | 38 | | 39 | 1.304 | 1.685 | 2.023 | 2.426 | 2.708 | 39 | | 40 | 1.303 | 1.684 | 2.021 | 2.423 | 2.704 | 40 | | 45 | 1.301 | 1.679 | 2.014 | 2.412 | 2.690 | 45 | | 50 | 1.299 | 1.676 | 2.009 | 2.403 | 2.678 | 50 | | 55 | 1.297 | 1.673 | 2.004 | 2.396 | 2.668 | 55 | | 60 | 1.296 | 1.671 | 2.000 | 2.390 | 2.660 | 60 | | 65 | 1.295 | 1.669 | 1.997 | 2.385 | 2.654 | 65 | | 70 | 1.294
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