Consider the value of t such that 0.0250.025 of the area under the curve is to t

Question

Consider the value of t such that 0.0250.025 of the area under the curve is to the left of t.

Step 1 of 2:

Select the graph which best represents the given description of t.

Answer

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Step 2 of 2:

Assuming the degrees of freedom equals 1111, select the t value from the t table.

Answer

1 Point

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To select a value from the table either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. To change the sign of the selected value, use the +/- button.

t-value   +/

0.1

0.05

0.025

0.01

0.005

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0t = ?0t = ?0t = ?t = ?0t = ?t = ?

0.1

0.05

0.025

0.01

0.005

1

3.078 6.314 12.706 31.821 63.657

2

1.886 2.920 4.303 6.965 9.925

3

1.638 2.353 3.182 4.541 5.841

4

1.533 2.132 2.776 3.747 4.604

5

1.476 2.015 2.571 3.365 4.032

6

1.440 1.943 2.447 3.143 3.707

7

1.415 1.895 2.365 2.998 3.499

8

1.397 1.860 2.306 2.896 3.355

9

1.383 1.833 2.262 2.821 3.250

10

1.372 1.812 2.228 2.764 3.169

11

1.363 1.796 2.201 2.718 3.106

12

1.356 1.782 2.179 2.681 3.055

13

1.350 1.771 2.160 2.650 3.012

14

1.345 1.761 2.145 2.624 2.977

15

1.341 1.753 2.131 2.602 2.947

16

1.337 1.746 2.120 2.583 2.921

17

1.333 1.740 2.110 2.567 2.898

18

1.330 1.734 2.101 2.552 2.878

19

1.328 1.729 2.093 2.539 2.861

20

1.325 1.725 2.086 2.528 2.845

21

1.323 1.721 2.080 2.518 2.831

22

1.321 1.717 2.074 2.508 2.819

23

1.319 1.714 2.069 2.500 2.807

24

1.318 1.711 2.064 2.492 2.797

25

1.316 1.708 2.060 2.485 2.787

26

1.315 1.706 2.056 2.479 2.779

27

1.314 1.703 2.052 2.473 2.771

28

1.313 1.701 2.048 2.467 2.763

29

1.311 1.699 2.045 2.462 2.756

30

1.310 1.697 2.042 2.457 2.750

31

1.309 1.696 2.040 2.453 2.744

32

1.309 1.694 2.037 2.449 2.738

34

1.307 1.691 2.032 2.441 2.728

36

1.306 1.688 2.028 2.434 2.719

38

1.304 1.686 2.024 2.429 2.712

40

1.303 1.684 2.021 2.423 2.704

45

1.301 1.679 2.014 2.412 2.690

50

1.299 1.676 2.009 2.403 2.678

55

1.297 1.673 2.004 2.396 2.668

60

1.296 1.671 2.000 2.390 2.660

65

1.295 1.669 1.997 2.385 2.654

70

1.294 1.667 1.994 2.381 2.648

75

1.293 1.665 1.992 2.377 2.643

80

1.292 1.664 1.990 2.374 2.639

90

1.291 1.662 1.987 2.368 2.632

100

1.290 1.660 1.984 2.364 2.626

120

1.289 1.658 1.980 2.358 2.617

200

1.286 1.653 1.972 2.345 2.601

300

1.284 1.650 1.968 2.339 2.592

400

1.284 1.649 1.966 2.336 2.588

500

1.283 1.648 1.965 2.334 2.586

750

1.283 1.647 1.963 2.331 2.582

1000

1.282 1.646 1.962 2.330 2.581

2000

1.282 1.646 1.961 2.328 2.578

1.282 1.645 1.960 2.326 2.576

Explanation / Answer

We want to find, the value of t such that 0.0250.025 of the area under the curve is to the left of t with degrees of freedom = 11

Using above t-table we get t-value is, t(0.025,11) = -2.201

(since 0.025 is left-tailed area t-value is negative)

t-value = -2.201

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