Critical t values f Distribution: Critical I Values Left tail Area in One Tail 0.006 0.01 0.025 0.05 0.10 Degrees of Area in Two Talls 0.01 0.02 0.05 0.10 020 Degrees of Freedom 63.657 31.821 12.706 6.314 3.078 9.925 6.965 4.303 2.920 1.886 2 5.841 4.541 3.182 2.353 1.638 3 4.804 3.747 2.776 2.132 1.533 4.032 3.385 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 9 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 2179 1.782 1356 12 13 3.012 2.650 2.160 1.771 1.350 13 14 2.977 2.624 2145 1.761 1.345 14 15 2.947 2.602 2131 1753 1.341 15 Right tail 16 2.921 2.583 2.120 1.746 1.337 16 17 2.890 2.567 2110 1740 1.333 17 18 2.878 2552 2.101 1734 1.330 18 2.861 2.539 2093 1729 1328 19 2.845 2.528 2086 1.325 20 21 2.831 2.518 2000 1.721 1.323 21 22 2.819 2.508 2074 1.717 1.321 22 23 2.807 2.500 2069 1.714 1.319 23 24 2.797 2.492 2.064 1.711 1.318 24 2.787 2.485 2.060 1,708 1.316 25 2.779 2.479 2.056 1,706 1.315 26 2.771 2473 2052 1.703 1.314 27 Critical f value 28 2.763 2.467 2048 1.701 1.313 28 (positive) 29 2.756 2.462 2.045 1.099 1.311 29 30 2.750 2.457 2.042 1.697 1.310 30 2.744 2.453 2.040 1606 1.309 31 32 2.738 2.449 2.037 1.694 1.309 32 2.733 2.445 2.035 1.692 1.308 33 2.728 2.441 2032 1.691 1.307 34 2.724 2.438 2.030 1.690 1.306 35 2.719 2.434 2.028 1.688 1.306 36 Two tails 2.715 2.431 2.026 1.687 1.305 37 2712 2.429 2.024 1.686 1.304 38 2708 2.425 2.023 1.685 1.304 38 2.704 2.423 2.021 1.684 1.303 40 2100 2.412 2014 1.679 1.301 45 2.678 2.403 2.009 1.676 1.299 50 2.600 2.390 2.000 1671 1.296 60 2.648 2.381 1.994 1.667 1294 70 a/2 a/2 2.630 2.314 1.990 1664 1.292 80 2.632 2.368 1.987 1.662 1.291 90 2.626 2.364 1.984 1600 1.290 100 2.601 2345 1972 1.463 1.200 200 Critical I value (negative) Critical f value 2.502 2339 1968 1650 1.284 300 (positive) 400 2.588 2.336 1649 1.284 400 2.586 2.334 1.840 1.283 500 1000 2.581 2.330 1.962 1640 1282 1000 2000 2.578 2.328 1.961 1.282 2000 Large 2.570 2.326 1.900 1.645 1.282 Arso in One Tail 0005 0.01 0.025 0.00 0.10 Degrees of Area in Two Talls Degrees of Fr 0.01 0.02 0.06 0.10 0.20 Freedom Cumulative area to the left of negative z scores NEGATIVE z Scores Cumulative area to the left of positive z scores POSITIVE Z Scores
Critical t values f Distribution: Critical I Values Left tail Area in One Tail 0.006 0.01 0.025 0.05 0.10 Degrees of Area in Two Talls 0.01 0.02 0.05 0.10 020 Degrees of Freedom 63.657 31.821 12.706 6.314 3.078 9.925 6.965 4.303 2.920 1.886 2 5.841 4.541 3.182 2.353 1.638 3 4.804 3.747 2.776 2.132 1.533 4.032 3.385 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 9 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 2179 1.782 1356 12 13 3.012 2.650 2.160 1.771 1.350 13 14 2.977 2.624 2145 1.761 1.345 14 15 2.947 2.602 2131 1753 1.341 15 Right tail 16 2.921 2.583 2.120 1.746 1.337 16 17 2.890 2.567 2110 1740 1.333 17 18 2.878 2552 2.101 1734 1.330 18 2.861 2.539 2093 1729 1328 19 2.845 2.528 2086 1.325 20 21 2.831 2.518 2000 1.721 1.323 21 22 2.819 2.508 2074 1.717 1.321 22 23 2.807 2.500 2069 1.714 1.319 23 24 2.797 2.492 2.064 1.711 1.318 24 2.787 2.485 2.060 1,708 1.316 25 2.779 2.479 2.056 1,706 1.315 26 2.771 2473 2052 1.703 1.314 27 Critical f value 28 2.763 2.467 2048 1.701 1.313 28 (positive) 29 2.756 2.462 2.045 1.099 1.311 29 30 2.750 2.457 2.042 1.697 1.310 30 2.744 2.453 2.040 1606 1.309 31 32 2.738 2.449 2.037 1.694 1.309 32 2.733 2.445 2.035 1.692 1.308 33 2.728 2.441 2032 1.691 1.307 34 2.724 2.438 2.030 1.690 1.306 35 2.719 2.434 2.028 1.688 1.306 36 Two tails 2.715 2.431 2.026 1.687 1.305 37 2712 2.429 2.024 1.686 1.304 38 2708 2.425 2.023 1.685 1.304 38 2.704 2.423 2.021 1.684 1.303 40 2100 2.412 2014 1.679 1.301 45 2.678 2.403 2.009 1.676 1.299 50 2.600 2.390 2.000 1671 1.296 60 2.648 2.381 1.994 1.667 1294 70 a/2 a/2 2.630 2.314 1.990 1664 1.292 80 2.632 2.368 1.987 1.662 1.291 90 2.626 2.364 1.984 1600 1.290 100 2.601 2345 1972 1.463 1.200 200 Critical I value (negative) Critical f value 2.502 2339 1968 1650 1.284 300 (positive) 400 2.588 2.336 1649 1.284 400 2.586 2.334 1.840 1.283 500 1000 2.581 2.330 1.962 1640 1282 1000 2000 2.578 2.328 1.961 1.282 2000 Large 2.570 2.326 1.900 1.645 1.282 Arso in One Tail 0005 0.01 0.025 0.00 0.10 Degrees of Area in Two Talls Degrees of Fr 0.01 0.02 0.06 0.10 0.20 Freedom Cumulative area to the left of negative z scores NEGATIVE z Scores Cumulative area to the left of positive z scores POSITIVE Z Scores
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A data set includes 109 body temperatures of healthy adult humans having a mean of 98.2°F and a standard deviation of 0.62°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< uu < °F
(Round to three decimal places as needed.)
Transcribed Image Text:Critical t values
f Distribution: Critical I Values
Left tail
Area in One Tail
0.006
0.01
0.025
0.05
0.10
Degrees of
Area in Two Talls
0.01
0.02
0.05
0.10
020
Degrees of
Freedom
63.657
31.821
12.706
6.314
3.078
9.925
6.965
4.303
2.920
1.886
2
5.841
4.541
3.182
2.353
1.638
3
4.804
3.747
2.776
2.132
1.533
4.032
3.385
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
9
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
2179
1.782
1356
12
13
3.012
2.650
2.160
1.771
1.350
13
14
2.977
2.624
2145
1.761
1.345
14
15
2.947
2.602
2131
1753
1.341
15
Right tail
16
2.921
2.583
2.120
1.746
1.337
16
17
2.890
2.567
2110
1740
1.333
17
18
2.878
2552
2.101
1734
1.330
18
2.861
2.539
2093
1729
1328
19
2.845
2.528
2086
1.325
20
21
2.831
2.518
2000
1.721
1.323
21
22
2.819
2.508
2074
1.717
1.321
22
23
2.807
2.500
2069
1.714
1.319
23
24
2.797
2.492
2.064
1.711
1.318
24
2.787
2.485
2.060
1,708
1.316
25
2.779
2.479
2.056
1,706
1.315
26
2.771
2473
2052
1.703
1.314
27
Critical f value
28
2.763
2.467
2048
1.701
1.313
28
(positive)
29
2.756
2.462
2.045
1.099
1.311
29
30
2.750
2.457
2.042
1.697
1.310
30
2.744
2.453
2.040
1606
1.309
31
32
2.738
2.449
2.037
1.694
1.309
32
2.733
2.445
2.035
1.692
1.308
33
2.728
2.441
2032
1.691
1.307
34
2.724
2.438
2.030
1.690
1.306
35
2.719
2.434
2.028
1.688
1.306
36
Two tails
2.715
2.431
2.026
1.687
1.305
37
2712
2.429
2.024
1.686
1.304
38
2708
2.425
2.023
1.685
1.304
38
2.704
2.423
2.021
1.684
1.303
40
2100
2.412
2014
1.679
1.301
45
2.678
2.403
2.009
1.676
1.299
50
2.600
2.390
2.000
1671
1.296
60
2.648
2.381
1.994
1.667
1294
70
a/2
a/2
2.630
2.314
1.990
1664
1.292
80
2.632
2.368
1.987
1.662
1.291
90
2.626
2.364
1.984
1600
1.290
100
2.601
2345
1972
1.463
1.200
200
Critical I value
(negative)
Critical f value
2.502
2339
1968
1650
1.284
300
(positive)
400
2.588
2.336
1649
1.284
400
2.586
2.334
1.840
1.283
500
1000
2.581
2.330
1.962
1640
1282
1000
2000
2.578
2.328
1.961
1.282
2000
Large
2.570
2.326
1.900
1.645
1.282
Arso in One Tail
0005
0.01
0.025
0.00
0.10
Degrees of
Area in Two Talls
Degrees of
Fr
0.01
0.02
0.06
0.10
0.20
Freedom
Transcribed Image Text:Cumulative area to the left of negative z scores
NEGATIVE z Scores
Cumulative area to the left of positive z scores
POSITIVE Z Scores
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