A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2°F and a standard deviation of 0.64°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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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Question
100%

What does it suggest about the use of 98.6 Fahrenheit as the mean of body temperature?

 

a. This suggest that the mean of body temperature could be lower than 98.6 Fahrenheit.

b. This suggest that the mean of body temperature could be very possible be 98.6 Fahrenheit.

c. This suggest that the mean of the body temeprature could be higher than 98.6 Fahrenheit.

a
Critical value
(negative)
Left tail
<i
Critical value
(negative)
Right tail
Two tails
Critical value
(positive)
a/2
Critical value
(positive)
Degrees of
Freedom
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Distribution: Critical Values
0.005
0.01
63.657
9.975
5.841
4.804
4.032
3.707
3.499
3.356
3.250
3.169
3.106
3.055
3.012
2.977
2947
2.921
2.896
2.878
2861
245
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.766
2.750
2.744
2.738
2.733
2.728
2.724
2.719
2.715
2.712
2.708
2.704
2000
2.678
2.660
2.648
2.632
2.400
2.601
2.582
2.568
2.586
2581
2.578
3578
0.01
31.821
4.541
3.747
3.365
3.143
2.990
2.896
2.821
2.754
2718
2681
2.650
2.624
2.632
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.500
2.492
2.495
2.479
2.473
2.467
2.462
2.457
2.453
2.449
2.445
2.441
2.438
2.434
2.431
2.429
2.426
2.423
2412
2.403
2.374
2.368
2.364
2.345
2.336
2.330
2.328
Are One T
0.025
Area in Two Tals
0.05
12.706
3.182
2.776
2.571
2:365
2.306
2.262
2:228
2.201
2.179
2.160
2.145
2131
2.120
2.110
2.101
2.093
2006
2.080
2074
2.000
2064
2.000
2056
2.052
2048
2.045
2042
2040
2.037
2.035
2.032
2.000
2.029
2006
2.024
2.023
2.021
2014
2009
2.000
1.990
1.987
1.984
1.972
1.968
1.965
1.962
1901
0.05
0.10
6.314
2.920
2.353
2132
2015
1.095
1.860
1.812
1.796
1.771
1.761
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.706
1.703
1.701
1.699
1.694
1.662
1.690
1.686
1.684
1.679
1.676
1.671
1.664
1.662
1.660
1.663
1.650
1.648
1646
1.646
0.10
3.078
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1.363
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
1.309
1.308
1.307
1.306
1.306
1.30
1.304
1.304
1.308
1.301
1.299
1.296
1.294
1.292
1.291
1.286
1.284
1.294
1.283
1.212
1289
Degrees of
Freedom
2
3
4
5
7
8
10
11
12
13
14
15
16
17
18
19
20
21
23
24
25
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1000
2000
Transcribed Image Text:a Critical value (negative) Left tail <i Critical value (negative) Right tail 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 31 32 34 35 36 37 39 45 50 90 100 200 300 400 500 1000 2000 Distribution: Critical Values 0.005 0.01 63.657 9.975 5.841 4.804 4.032 3.707 3.499 3.356 3.250 3.169 3.106 3.055 3.012 2.977 2947 2.921 2.896 2.878 2861 245 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.766 2.750 2.744 2.738 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2.704 2000 2.678 2.660 2.648 2.632 2.400 2.601 2.582 2.568 2.586 2581 2.578 3578 0.01 31.821 4.541 3.747 3.365 3.143 2.990 2.896 2.821 2.754 2718 2681 2.650 2.624 2.632 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.495 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2.429 2.426 2.423 2412 2.403 2.374 2.368 2.364 2.345 2.336 2.330 2.328 Are One T 0.025 Area in Two Tals 0.05 12.706 3.182 2.776 2.571 2:365 2.306 2.262 2:228 2.201 2.179 2.160 2.145 2131 2.120 2.110 2.101 2.093 2006 2.080 2074 2.000 2064 2.000 2056 2.052 2048 2.045 2042 2040 2.037 2.035 2.032 2.000 2.029 2006 2.024 2.023 2.021 2014 2009 2.000 1.990 1.987 1.984 1.972 1.968 1.965 1.962 1901 0.05 0.10 6.314 2.920 2.353 2132 2015 1.095 1.860 1.812 1.796 1.771 1.761 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.706 1.703 1.701 1.699 1.694 1.662 1.690 1.686 1.684 1.679 1.676 1.671 1.664 1.662 1.660 1.663 1.650 1.648 1646 1.646 0.10 3.078 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 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 1.309 1.308 1.307 1.306 1.306 1.30 1.304 1.304 1.308 1.301 1.299 1.296 1.294 1.292 1.291 1.286 1.284 1.294 1.283 1.212 1289 Degrees of Freedom 2 3 4 5 7 8 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 30 31 32 34 35 36 37 39 40 50 60 70 80 90 100 200 300 400 500 1000 2000
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2°F and a standard deviation of 0.64°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 at 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 108 body temperatures of healthy adult humans having a mean of 98.2°F and a standard deviation of 0.64°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 at 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
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