For parts a and​ b, use the t​ tables, software, or a calculator to estimate. For parts c and​ d, use software or a calculator to estimate. ​a) the critical value of t for a 90​% confidence interval...




For parts a and​ b, use the t​ tables, software, or a calculator to estimate. For parts c and​ d, use software or a calculator to estimate.

​a) the critical value of t for a
90​%

confidence interval with
df=25.


​b) the critical value of t for a
99​%

confidence interval with
df=89.


​c) the​ P-value for
t≥1.38

with
4

degrees of freedom.

​d) the​ P-value for
t>1.41

with
25

degrees of freedom.



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​a) What is the critical value of t for a
90​%

confidence interval with
df=25​?




nothing

​(Round to two decimal places as​ needed.)

​b) What is the critical value of t for a
99​%

confidence interval with
df=89​?




nothing

​(Round to two decimal places as​ needed.)

​c) What is the​ P-value for
t≥1.38

with
4

degrees of​ freedom?



nothing

​(Round to three decimal places as​ needed.)

​d) What is the​ P-value for
t>1.41

with
25

degrees of​ freedom?



nothing

​(Round to three decimal places as​ needed.)



Two-tail probability<br>One-tail probability<br>0.20<br>0.10<br>0.05<br>0.02<br>0.01<br>0.10<br>0.05<br>0.025<br>0.01<br>0.005<br>Confidence levels<br>80%<br>90%<br>95%<br>98%<br>99%<br>df<br>df<br>Table T<br>Values of t.<br>63.657<br>9.925<br>1<br>3.078<br>6.314<br>12.706<br>31.821<br>1<br>6.965<br>4.541<br>2<br>1.886<br>2.920<br>4.303<br>3<br>1.638<br>2.353<br>3.182<br>2.776<br>5.841<br>3<br>4<br>1.533<br>2.132<br>3.747<br>4.604<br>4<br>1.476<br>2.015<br>2.571<br>3.365<br>4.032<br>1.943<br>1.895<br>6<br>1.440<br>2.447<br>3.143<br>3.707<br>6<br>7<br>1.415<br>2.365<br>2.998<br>3.499<br>7<br>1.860<br>1.833<br>1.397<br>2.306<br>2.896<br>3.355<br>8<br>1.383<br>2.262<br>2.821<br>3.250<br>Two tails<br>10<br>1.372<br>1.812<br>2.228<br>2.764<br>3.169<br>10<br>11<br>1.363<br>1.796<br>2.201<br>2.718<br>3.106<br>3.055<br>11<br>12<br>1.356<br>1.782<br>2.179<br>2.681<br>12<br>13<br>1.350<br>1.771<br>2.160<br>2.650<br>3.012<br>13<br>14<br>1.345<br>1.761<br>2.145<br>2.624<br>2.977<br>14<br>15<br>1.341<br>1.753<br>2.131<br>2.602<br>2.947<br>15<br>2.583<br>2.921<br>2.898<br>16<br>1.337<br>1.746<br>2.120<br>16<br>1.333<br>1.330<br>1.740<br>1.734<br>One tail<br>17<br>2.110<br>2.567<br>17<br>18<br>2.101<br>2.552<br>2.878<br>18<br>19<br>1.328<br>1.729<br>2.093<br>2.539<br>2.861<br>19<br>20<br>1.325<br>1.725<br>2.086<br>2.528<br>2.845<br>20<br>21<br>1.323<br>1.721<br>2.080<br>2.518<br>2.831<br>21<br>Print<br>Done<br>

Extracted text: Two-tail probability One-tail probability 0.20 0.10 0.05 0.02 0.01 0.10 0.05 0.025 0.01 0.005 Confidence levels 80% 90% 95% 98% 99% df df Table T Values of t. 63.657 9.925 1 3.078 6.314 12.706 31.821 1 6.965 4.541 2 1.886 2.920 4.303 3 1.638 2.353 3.182 2.776 5.841 3 4 1.533 2.132 3.747 4.604 4 1.476 2.015 2.571 3.365 4.032 1.943 1.895 6 1.440 2.447 3.143 3.707 6 7 1.415 2.365 2.998 3.499 7 1.860 1.833 1.397 2.306 2.896 3.355 8 1.383 2.262 2.821 3.250 Two tails 10 1.372 1.812 2.228 2.764 3.169 10 11 1.363 1.796 2.201 2.718 3.106 3.055 11 12 1.356 1.782 2.179 2.681 12 13 1.350 1.771 2.160 2.650 3.012 13 14 1.345 1.761 2.145 2.624 2.977 14 15 1.341 1.753 2.131 2.602 2.947 15 2.583 2.921 2.898 16 1.337 1.746 2.120 16 1.333 1.330 1.740 1.734 One tail 17 2.110 2.567 17 18 2.101 2.552 2.878 18 19 1.328 1.729 2.093 2.539 2.861 19 20 1.325 1.725 2.086 2.528 2.845 20 21 1.323 1.721 2.080 2.518 2.831 21 Print Done
Jun 08, 2022
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