Critical t values f Distribution: Critical/Values Left tail Area in One Tail 0.005 0.01 0.025 0.05 0.10 Degrees of Area in Two Tails Freedom 0.01 0.02 0.05 0.10 0.20 Degrees of Freedom 1 63.657 31.821 12.706 6.314 3.078 2 9.825 6.965 4.303 2.920 1.886 2 5.841 4.541 3.182 2.353 1.638 4.604 3.747 2.776 2.132 1.533 4.032 3.365 2.571 2015 1.478 3.707 3.143 2.447 1.943 1.440 3.499 2.998 2.365 1.895 1.415 3.355 2.896 2.306 1.860 1.397 3.250 2.821 2.262 1.833 1.383 Critical t value (negative) 10 3.169 2.764 2.228 1.812 1.372 10 11 3.106 2.718 2.201 1.796 1.363 11 12 3.055 2.681 2.179 1.782 1.356 12 13 3.012 2.650 2.160 1.771 1.350 13 14 2.977 2.624 2.145 1.761 1.345 14 15 2.947 2.602 2.131 1.753 1.341 15 Right tail 16 2.921 2.583 2.120 1.746 1.337 16 17 2.898 2.567 2.110 1.740 1.333 17 18 2.878 2552 2.101 1.734 1.330 18 19 2.861 2.539 2.093 1.729 1.328 19 20 2.845 2.528 2.086 1.725 1.325 20 21 2.831 2.518 2.080 1.721 1.323 21 22 2.819 2.508 2.074 1.717 1.321 22 23 2.807 2.500 2.069 1.714 1319 23 24 2.797 2.492 2.064 1.711 1.318 24 25 2.787 2.485 2.060 1.708 1.316 25 26 2.779 2.479 2.056 1.706 1.315 26 27 2.771 2.473 2.052 1.703 1.314 27 Critical t value 28 2.763 2.467 2048 1.701 1.313 28 (positive) 29 2.756 2.462 2.045 1.699 1.311 29 30 2.750 2.457 2.042 1.697 1.310 30 31 2.744 2.453 2.040 1.606 1.309 31 32 2.738 2.449 2.037 1.694 1.309 32 33 2.733 2.445 2.035 1.692 1.308 33 34 2.728 2.441 2.032 1.691 1.307 34 35 2.724 2.438 2.030 1.690 1.306 35 36 2.719 2.434 2.028 1.688 1.306 36 Two tails 37 2.715 2.431 2.026 1.687 1.305 37 38 2.712 2.429 2.024 1.686 1.304 38 39 2.708 2.426 2.023 1.685 1.304 40 2.704 2.423 2.021 1.664 1.303 40 45 2.690 2.412 2014 1.679 1.301 45 2.678 2.403 2009 1.676 1.299 2.660 2.390 2.000 1.671 1.296 2.648 2.381 1994 1.867 1294 20 a/2 a/2 2.639 2.374 1.990 1664 1.292 2.632 2.368 1.987 1.662 1291 2.626 2.364 1964 1.290 100 2.601 2.345 1.972 1653 1.286 200 Critical value (negative) Critical f value 300 2.502 2.339 1.968 1.650 1.284 300 (positive) 400 2.588 2.336 1.966 1649 1.284 400 500 2.506 2.334 1.965 1.643 1.283 1000 2.501 2.330 1.962 1.646 1000 2000 2.578 2.326 1961 1.282 2000 Large 2.570 2.320 1.900 1.645 1.282 Large Area in One Tail 0.006 0.01 0.025 0.05 0.10 Degrees of Area in Two Tails Freedom 0.01 0.02 0.06 0.10 0.20 Free Cumulative area to the left of negative z scores NEGATIVE z Scores 777777799 Standard Normal (z) Cumulative area to the left of positive z scores Cumulative POSITIVE z Scores eeeeeeee-

Critical t values f Distribution: Critical/Values Left tail Area in One Tail 0.005 0.01 0.025 0.05 0.10 Degrees of Area in Two Tails Freedom 0.01 0.02 0.05 0.10 0.20 Degrees of Freedom 1 63.657 31.821 12.706 6.314 3.078 2 9.825 6.965 4.303 2.920 1.886 2 5.841 4.541 3.182 2.353 1.638 4.604 3.747 2.776 2.132 1.533 4.032 3.365 2.571 2015 1.478 3.707 3.143 2.447 1.943 1.440 3.499 2.998 2.365 1.895 1.415 3.355 2.896 2.306 1.860 1.397 3.250 2.821 2.262 1.833 1.383 Critical t value (negative) 10 3.169 2.764 2.228 1.812 1.372 10 11 3.106 2.718 2.201 1.796 1.363 11 12 3.055 2.681 2.179 1.782 1.356 12 13 3.012 2.650 2.160 1.771 1.350 13 14 2.977 2.624 2.145 1.761 1.345 14 15 2.947 2.602 2.131 1.753 1.341 15 Right tail 16 2.921 2.583 2.120 1.746 1.337 16 17 2.898 2.567 2.110 1.740 1.333 17 18 2.878 2552 2.101 1.734 1.330 18 19 2.861 2.539 2.093 1.729 1.328 19 20 2.845 2.528 2.086 1.725 1.325 20 21 2.831 2.518 2.080 1.721 1.323 21 22 2.819 2.508 2.074 1.717 1.321 22 23 2.807 2.500 2.069 1.714 1319 23 24 2.797 2.492 2.064 1.711 1.318 24 25 2.787 2.485 2.060 1.708 1.316 25 26 2.779 2.479 2.056 1.706 1.315 26 27 2.771 2.473 2.052 1.703 1.314 27 Critical t value 28 2.763 2.467 2048 1.701 1.313 28 (positive) 29 2.756 2.462 2.045 1.699 1.311 29 30 2.750 2.457 2.042 1.697 1.310 30 31 2.744 2.453 2.040 1.606 1.309 31 32 2.738 2.449 2.037 1.694 1.309 32 33 2.733 2.445 2.035 1.692 1.308 33 34 2.728 2.441 2.032 1.691 1.307 34 35 2.724 2.438 2.030 1.690 1.306 35 36 2.719 2.434 2.028 1.688 1.306 36 Two tails 37 2.715 2.431 2.026 1.687 1.305 37 38 2.712 2.429 2.024 1.686 1.304 38 39 2.708 2.426 2.023 1.685 1.304 40 2.704 2.423 2.021 1.664 1.303 40 45 2.690 2.412 2014 1.679 1.301 45 2.678 2.403 2009 1.676 1.299 2.660 2.390 2.000 1.671 1.296 2.648 2.381 1994 1.867 1294 20 a/2 a/2 2.639 2.374 1.990 1664 1.292 2.632 2.368 1.987 1.662 1291 2.626 2.364 1964 1.290 100 2.601 2.345 1.972 1653 1.286 200 Critical value (negative) Critical f value 300 2.502 2.339 1.968 1.650 1.284 300 (positive) 400 2.588 2.336 1.966 1649 1.284 400 500 2.506 2.334 1.965 1.643 1.283 1000 2.501 2.330 1.962 1.646 1000 2000 2.578 2.326 1961 1.282 2000 Large 2.570 2.320 1.900 1.645 1.282 Large Area in One Tail 0.006 0.01 0.025 0.05 0.10 Degrees of Area in Two Tails Freedom 0.01 0.02 0.06 0.10 0.20 Free Cumulative area to the left of negative z scores NEGATIVE z Scores 777777799 Standard Normal (z) Cumulative area to the left of positive z scores Cumulative POSITIVE z Scores eeeeeeee-

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

See similar textbooks

Related questions

Question

100%

A data set includes 107 body temperatures of healthy adult humans having a mean of 98.7°F and a standard deviation of 0.72°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature? What is the confidence interval estimate of the population mean u? °F < u < °F (Round to three decimal places as needed.)

Critical t values
f Distribution: Critical/Values
Left tail
Area in One Tail
0.005
0.01
0.025
0.05
0.10
Degrees of
Area in Two Tails
Freedom
0.01
0.02
0.05
0.10
0.20
Degrees of
Freedom
1
63.657
31.821
12.706
6.314
3.078
2
9.825
6.965
4.303
2.920
1.886
2
5.841
4.541
3.182
2.353
1.638
4.604
3.747
2.776
2.132
1.533
4.032
3.365
2.571
2015
1.478
3.707
3.143
2.447
1.943
1.440
3.499
2.998
2.365
1.895
1.415
3.355
2.896
2.306
1.860
1.397
3.250
2.821
2.262
1.833
1.383
Critical t value
(negative)
10
3.169
2.764
2.228
1.812
1.372
10
11
3.106
2.718
2.201
1.796
1.363
11
12
3.055
2.681
2.179
1.782
1.356
12
13
3.012
2.650
2.160
1.771
1.350
13
14
2.977
2.624
2.145
1.761
1.345
14
15
2.947
2.602
2.131
1.753
1.341
15
Right tail
16
2.921
2.583
2.120
1.746
1.337
16
17
2.898
2.567
2.110
1.740
1.333
17
18
2.878
2552
2.101
1.734
1.330
18
19
2.861
2.539
2.093
1.729
1.328
19
20
2.845
2.528
2.086
1.725
1.325
20
21
2.831
2.518
2.080
1.721
1.323
21
22
2.819
2.508
2.074
1.717
1.321
22
23
2.807
2.500
2.069
1.714
1319
23
24
2.797
2.492
2.064
1.711
1.318
24
25
2.787
2.485
2.060
1.708
1.316
25
26
2.779
2.479
2.056
1.706
1.315
26
27
2.771
2.473
2.052
1.703
1.314
27
Critical t value
28
2.763
2.467
2048
1.701
1.313
28
(positive)
29
2.756
2.462
2.045
1.699
1.311
29
30
2.750
2.457
2.042
1.697
1.310
30
31
2.744
2.453
2.040
1.606
1.309
31
32
2.738
2.449
2.037
1.694
1.309
32
33
2.733
2.445
2.035
1.692
1.308
33
34
2.728
2.441
2.032
1.691
1.307
34
35
2.724
2.438
2.030
1.690
1.306
35
36
2.719
2.434
2.028
1.688
1.306
36
Two tails
37
2.715
2.431
2.026
1.687
1.305
37
38
2.712
2.429
2.024
1.686
1.304
38
39
2.708
2.426
2.023
1.685
1.304
40
2.704
2.423
2.021
1.664
1.303
40
45
2.690
2.412
2014
1.679
1.301
45
2.678
2.403
2009
1.676
1.299
2.660
2.390
2.000
1.671
1.296
2.648
2.381
1994
1.867
1294
20
a/2
a/2
2.639
2.374
1.990
1664
1.292
2.632
2.368
1.987
1.662
1291
2.626
2.364
1964
1.290
100
2.601
2.345
1.972
1653
1.286
200
Critical value
(negative)
Critical f value
300
2.502
2.339
1.968
1.650
1.284
300
(positive)
400
2.588
2.336
1.966
1649
1.284
400
500
2.506
2.334
1.965
1.643
1.283
1000
2.501
2.330
1.962
1.646
1000
2000
2.578
2.326
1961
1.282
2000
Large
2.570
2.320
1.900
1.645
1.282
Large
Area in One Tail
0.006
0.01
0.025
0.05
0.10
Degrees of
Area in Two Tails
Freedom
0.01
0.02
0.06
0.10
0.20
Free

Cumulative area to the left of negative z scores
NEGATIVE z Scores
777777799
Standard Normal (z)
Cumulative area to the left of positive z scores
Cumulative
POSITIVE z Scores
eeeeeeee-

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution