ck here to view a t distribution table. ck here to view page 1 of the standard normal distribution table. ck here to view page 2 of the standard normal distribution table. at is the confidence interval estimate of the population mean μ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
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?
Click here to view a t distribution table.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
What is the confidence interval estimate of the population mean µ?
°F<μ<°F
(Round to three decimal places as needed.)
C
Transcribed Image Text: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? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean µ? °F<μ<°F (Round to three decimal places as needed.) C
Critical value
(negative)
a/2
Left tail
Critical value
(negative)
Right tal
Two tails
<
Critical value
(positive)
a/2
Critical value
(positive)
Degrees of
Freedom
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
23
25
26
29
30
33
34
35
36
38
39
40
70
90
100
200
400
500
1000
2000
Distribution: Critical Values
0.005
0.01
63.657
9.925
5.841
4.804
4.032
3.707
3.499
3.356
3.250
3169
3.106
3.055
3.012
2.977
2.947
2.921
2.896
2878
2.861
245
2.831
2.819
2.800
2.797
2.787
2.779
2.771
2.763
2.756
2.750
2.744
2.718
2.733
2.728
2.724
2.719
2.715
2.712
2.708
2704
2.500
2678
2.660
2648
2639
2.632
2.601
2.582
2.588
2.586
2581
2.578
0.01
31.821
4.541
3.747
3.365
3.143
2.990
2.896
2.821
2.764
2.718
2.681
2624
2.602
2.583
2.567
2.552
2.520
2.518
2.508
2.500
2.492
2.485
2.479
2.473
2.467
2.42
2.457
2.453
2.449
2.445
2.441
2430
2.434
2.431
2.429
2.426
2.423
2412
2.403
2.381
2.374
2.364
2.345
2.336
2.334
2.330
2.328
Area T
0.025
Area in Two Tails
0.05
12.706
3.182
2.776
2.571
2.447
2:365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2006
2.080
2074
2.064
2.060
2:056
2.052
2048
2045
2042
2040
2.037
2.035
2.032
2.000
2.028
2.026
2.023
2.021
2014
2009
2.000
1.994
1.990
1.987
1.984
1.972
1.961
0.05
0.10
6.314
2.353
2.132
2015
1.943
1.860
1.812
1.796
1.761
1.753
1.740
1.734
1.729
1.725
1.721
1.717
1714
1.711
1.708
1.706
1.703
1.701
1.687
1.662
1.667
1.685
1.684
1679
1.676
1.671
1.667
1664
1.662
1.663
1.650
1.649
1.648
1646
1.646
0.10
0.20
3078
1.638
1.476
1.440
1.415
1.397
1.383
1.372
1.383
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.309
1.308
1.307
1.306
1.306
1.305
1.304
1.304
1.303
1.301
1.299
1.296
1.294
1.292
1.291
1.290
1.286
1.284
1.284
1.212
1.282
1389
Degrees of
Freedom
2
6
8
9
10
11
12
14
15
16
17
18
20
21
23
24
25
26
27
28
29
31
32
34
35
37
39
40
45
60
70
90
100
200
300
400
500
1000
2000
Transcribed Image Text:Critical value (negative) a/2 Left tail Critical value (negative) Right tal Two tails < Critical value (positive) a/2 Critical value (positive) Degrees of Freedom 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 23 25 26 29 30 33 34 35 36 38 39 40 70 90 100 200 400 500 1000 2000 Distribution: Critical Values 0.005 0.01 63.657 9.925 5.841 4.804 4.032 3.707 3.499 3.356 3.250 3169 3.106 3.055 3.012 2.977 2.947 2.921 2.896 2878 2.861 245 2.831 2.819 2.800 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.744 2.718 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2704 2.500 2678 2.660 2648 2639 2.632 2.601 2.582 2.588 2.586 2581 2.578 0.01 31.821 4.541 3.747 3.365 3.143 2.990 2.896 2.821 2.764 2.718 2.681 2624 2.602 2.583 2.567 2.552 2.520 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.42 2.457 2.453 2.449 2.445 2.441 2430 2.434 2.431 2.429 2.426 2.423 2412 2.403 2.381 2.374 2.364 2.345 2.336 2.334 2.330 2.328 Area T 0.025 Area in Two Tails 0.05 12.706 3.182 2.776 2.571 2.447 2:365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2006 2.080 2074 2.064 2.060 2:056 2.052 2048 2045 2042 2040 2.037 2.035 2.032 2.000 2.028 2.026 2.023 2.021 2014 2009 2.000 1.994 1.990 1.987 1.984 1.972 1.961 0.05 0.10 6.314 2.353 2.132 2015 1.943 1.860 1.812 1.796 1.761 1.753 1.740 1.734 1.729 1.725 1.721 1.717 1714 1.711 1.708 1.706 1.703 1.701 1.687 1.662 1.667 1.685 1.684 1679 1.676 1.671 1.667 1664 1.662 1.663 1.650 1.649 1.648 1646 1.646 0.10 0.20 3078 1.638 1.476 1.440 1.415 1.397 1.383 1.372 1.383 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.301 1.299 1.296 1.294 1.292 1.291 1.290 1.286 1.284 1.284 1.212 1.282 1389 Degrees of Freedom 2 6 8 9 10 11 12 14 15 16 17 18 20 21 23 24 25 26 27 28 29 31 32 34 35 37 39 40 45 60 70 90 100 200 300 400 500 1000 2000
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