Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.6% of the thermometers are rejected because they have readings that are too high and another 2.6% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents the region in which thermometers are rejected? Choose the correct graph below. OA. OB. Oc. OD. The cutoff values are degrees. (Use a comma to separate answers as needed. Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Question
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.6% of the thermometers are rejected because they have readings that are too high and another 2.6% are
rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.
Click to view page 1 of the table. Click to view page 2 of the table.
Which graph represents the region in which thermometers are rejected? Choose the correct graph below.
OA.
В.
OC.
D.
The cutoff values are
degrees.
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Transcribed Image Text:Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.6% of the thermometers are rejected because they have readings that are too high and another 2.6% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents the region in which thermometers are rejected? Choose the correct graph below. OA. В. OC. D. The cutoff values are degrees. (Use a comma to separate answers as needed. Round to two decimal places as needed.)
NEGATIVE z Scores
POSITIVE z Scores
Standard Normal (z) Distribution: Cumulative Area from the LEFT
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
02
.03
.04
.05
.06
.07
.08
.09
.00
.01
.02
.03
.04
.05
.06
.07
08
.09
-3.50
0.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5279
.5319
.5359
and
0.1
.5398
.5438
5478
5517
.5557
.5596
5636
.5675
.5714
.5753
lower
.0001
0.2
.5793
.5832
.5871
.5910
.5948
.5987
.6026
6064
.6103
.6141
-3.4
.0003
.0003
.0003
2000
.0003
.0003
.0003
.0003
.0003
.0002
0.3
.6179
,6217
6255
.6293
.6331
.6368
.6406
.6443
6480
.6517
-3.3
.0005
.0005
.0005
.0004
.0004
.0004
.0004
.0004
.0004
.0003
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
-3.2
.0007
.0007
.0006
.0006
.0006
.0006
.0006
.0005
.0005
.0005
0.5
.6915
.6950
,6985
7019
.7054
.7088
,7123
7157
.7190
.7224
-3.1
.0010
.0009
.0009
.0009
.0008
.0008
.0008
.0008
.0007
.0007
0.6
.7257
7291
7324
7357
7389
7422
.7454
7486
,7517
.7549
-3.0
.0013
.0013
.0013
.0012
.0012
.0011
.011
.001
.0010
.0010
0.7
7580
.7611
7642
7673
.7704
.7734
.7764
7794
7823
.7852
-2.9
.0019
.0018
.0018
.0017
.0016
.0016
.0015
.0015
.0014
.0014
0.8
.7881
7910
7939
7967
7995
.8023
.8051
8078
.8106
.8133
-2.8
.0026
.0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.0019
0.9
.8159
.8186
.8212
.8238
.8264
.8289
.8315
.8340
.8365
.8389
-2.7
.0035
.0034
.0033
.0032
.0031
.0030
.0029
.0028
.0027
.0026
1.0
.8413
.8438
8461
8485
.8508
.8531
.8554
.8577
.8599
.8621
-2.6
.0047
.0045
.0044
.0043
.0041
.0040
.0039
.0038
.0037
.0036
1.1
.8643
8665
8686
8708
.8729
8749
.8770
8790
,8810
,8830
-2.5
.0062
.0060
.0059
.0057
.0055
.0054
.0052
.0051
* 0049
.0048
1.2
.8849
.8869
8888
.8907
.8925
.8944
.8962
.8980
.8997
.9015
-2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
1.3
.9032
.9049
.9066
.9082
.9099
.9115
.9131
.9147
.9162
.9177
-2.3
.0107
.0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
1.4
.9192
.9207
.9222
.9236
.9251
.9265
.9279
.9292
.9306
.9319
-2.2
.0139
.0136
.0132
.0129
.0125
.0122
.0119
.0116
.013
.0110
1.5
.9332
.9345
9357
.9370
.9382
.9394
.9406
.9418
.9429
.9441
-2.1
.0179
.0174
0170
.0166
.0162
.0158
.0154
.0150
.0146
.0143
1.6
.9452
9463
9474
9484
.9495 •
.9505
,9515
9525
,9535
.9545
-2.0
.0228
.0222
.0217
.0212
.0207
.0202
.0197
.0192
.0188
.0183
1.7
.9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
.9625
.9633
-1.9
.0287
.0281
.0274
.0268
.0262
.0256
.0250
.0244
0239
.0233
1.8
.9641
.9649
,9656
.9664
.9671
.9678
.9686
9693
.9699
.9706
-1.8
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
1.9
.9713
.9719
.9726
.9732
.9738
.9744
.9750
.9756
.9761
.9767
-1.7
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
2.0
.9772
.9778
.9783
.9788
.9793
.9798
.9803
.9808
.9812
.9817
670
Transcribed Image Text:NEGATIVE z Scores POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 02 .03 .04 .05 .06 .07 .08 .09 .00 .01 .02 .03 .04 .05 .06 .07 08 .09 -3.50 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 and 0.1 .5398 .5438 5478 5517 .5557 .5596 5636 .5675 .5714 .5753 lower .0001 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 6064 .6103 .6141 -3.4 .0003 .0003 .0003 2000 .0003 .0003 .0003 .0003 .0003 .0002 0.3 .6179 ,6217 6255 .6293 .6331 .6368 .6406 .6443 6480 .6517 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 0.5 .6915 .6950 ,6985 7019 .7054 .7088 ,7123 7157 .7190 .7224 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 0.6 .7257 7291 7324 7357 7389 7422 .7454 7486 ,7517 .7549 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .011 .001 .0010 .0010 0.7 7580 .7611 7642 7673 .7704 .7734 .7764 7794 7823 .7852 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 0.8 .7881 7910 7939 7967 7995 .8023 .8051 8078 .8106 .8133 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 1.0 .8413 .8438 8461 8485 .8508 .8531 .8554 .8577 .8599 .8621 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 1.1 .8643 8665 8686 8708 .8729 8749 .8770 8790 ,8810 ,8830 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 * 0049 .0048 1.2 .8849 .8869 8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .013 .0110 1.5 .9332 .9345 9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 -2.1 .0179 .0174 0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 1.6 .9452 9463 9474 9484 .9495 • .9505 ,9515 9525 ,9535 .9545 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 0239 .0233 1.8 .9641 .9649 ,9656 .9664 .9671 .9678 .9686 9693 .9699 .9706 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 670
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