Assume that thermometer readings are normally distributed with a mean ofOC and a standard deviation of 1.00 C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.00 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. O A. O B. c. z=1.00 z=2.25 z=1.00 z=2.25 z=1.00 z=2.25 The probability of getting a reading between 1.00°C and 2.25°C is.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Need help with this statistic question 

Assume that thermonmeter readings are normally distributed with a mean of 0 C and a standard deviation of 1.00°c. A thermometer is randomly
selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.)
Between 1.00 and 2.25
Click to view.page 1.of the table. Click to view page 2 of the table.
Draw a sketch. Choose the correct graph below.
O A.
O B.
Oc.
z31.00
z-2.25
z31.00
z=2.25
z-1.00
z-2.25
The probability of getting a reading between 1.00°C and 2.25 C is
(Round to four decimal places as needed.)
Transcribed Image Text:Assume that thermonmeter readings are normally distributed with a mean of 0 C and a standard deviation of 1.00°c. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.00 and 2.25 Click to view.page 1.of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. O A. O B. Oc. z31.00 z-2.25 z31.00 z=2.25 z-1.00 z-2.25 The probability of getting a reading between 1.00°C and 2.25 C is (Round to four 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
01
02
03
07
00
08
02
03
04
.05
06
07
09
-3.50
5279
5040
5438
5080
5120
5517
5910
0.0
5000
S160
5199
5239
5319
5714
5359
S755
641
6517
01
5398
5478
5557
5596
5636
5675
lower
02
5793
5832
S871
5948
5987
6026
6064
GIOS
0003
0003
0003
boo04
0003
0003
o003
0003
0002
0.5
6179
6217
క
6293
6331
6368
6406
6443
6480
0004
O004
Lo004
0004
0003
6554
6915
04
6591
6628
6664
6700
6736
6772
6808
6879
7224
7549
7852
8133
8389
8621
8830
6844
-32
0007
0005
6950
6985
7019
7054
7157
0.5
.7088
7123
7190
600'
9000
0007
0.6
7257
7291
7324
7357
7389
7422
7454
7486
7517
O013
6ooo
0.7
7580
7611
7642
7673
7704
7734
7764
7794
7823
D016
0015
0014
0014
7910
7881
8159
8413
7939
8212
7967
8238
8485
8708
7995
8051
B078
8340
8577
8023
8106
0026
0025
0024
0023
0023
Lo022
0021
0021
0020
O019
8365
8599
8810
8997
8186
8264
8315
0035
0034
0031
0030
0029
0028
ק. םב
0026
8438
8461
as08
8729
8925
8531
3554
0047
0044
0043
0041
pcss
0045
0040
o054
0071
0038
0057
0049
0036
8686
8888
9066
8643
8665
8749
8770
8790
O062
0048
8849
9032
8980
9147
8869
8907
8944
8962
9015
o080
0104
0136
O082
9049
9082
13
9115
9131
S162
9177
O087
O113
0146
O084
O110
9192
9332
9452
9554
9641
9207
9222
9236
9251
9265
9279
9292
9319
9306
9429
0139
0125
0162
0207
0122
0158
0202
0116
L0150
9345
9357
9370
9484
9582
9664
9394
9406
9418
9441
0179
0174
0154
0197
0250
0143
9463
9474
9573
9656
9545
9633
9706
9767
9817
9857
9890
9495 9505
9599
9678
9525
9616
9535
9625
9515
0228
0222
0217
0212
0192
0188
0183
9564
9649
9719
9778
9691
9608
0287
0281
10274
0268
0256
0244
L0239
0253
9671
9686
0359
0446
0548
0668
0808
0968
0344
0427
os26
0329
0409
osos
0351
0307
O384
0475
O582
0336
.0322
0314
J0301
0575
0465
0571
0294
0567
0455
0559
9713
9726
9732
9738
9761
9812
9854
9887
9913
9934
9951
9963
9973
9980
9986
9990
9744
9750
9756
0456
0401
20
9772
9783
9798
9803
9808
OS37
0655
•0495
0485
9821
9826
9830
9834
9838
9842
9846
9850
0630
0764
22
9861
9864
9871
9878
9881
0793
0749
0755
O885
1056
0721
0694
0838
0708
0681
23
9893
9918
9896
9898
9066
9931
9909
0853
h020
0951
0934
0825
2.4
9920
9922
9936
9952
9964
9974
9925
9927
9929
9932
9949
9962
751
T131
0985
25
2.6
9938
9940
9941
9943
9945
9946
9948
1357
1587
1841
1292,
1515
J190
3401
170
1379
1514
271
1251
1250
1210
9953
9955
9956
9957
9959
9960
9961
-10
1539
1469
1711
1977
2266
2578
1562
1446
1425
27
9965
9966
9967
9968
9970
9971
9972
1814
178
1660
28
9974
9975
9976
9977
9977
9978
9979
9979
2061
2033
1922
1894
1867
LB66
2119
2090
1949
2.9
9981
9982
9987
9982
9983
9984
9985
9989
9984
9985
2420
2743
2589
2558
12527
2256
2206
2177
2148
3.0
9987
9987
9988
9989
9990
9993
9968
9989
2643
2981
2709
2514
2483
2676
3015
261
2546
2451
31
9990
9991
9991
9991
9992
9992
9992
2946
2877
2843
2776
J085
3446
5821
3050
2912
2810
32
9993
9993
9994
9994
9994
9994
9994
9995
9995
-0-4
3156
3520
3121
3483
3372
3300
3669
4052
3264
3632
4013
3409
3336
3228
3192
33
9995
9997
9995
9995
9996
9997
9996
9996
9996
9996
9997
3557
3936
3783
3745
5707
3594
3.4
9997
9997
9997
9997
9997
9997
9997
3859
.4247
4168
4129
4090
3974
3.50
9999
4602
4562
4522
4483
4443
.4404
4364
4325
14286
and up
5000
4960
4920
4880
4840
.4801
4761
4721
4681
4641
NOTE: For values of z above 3.49, use 0.9999 for the area
Common Critical Valux
"Use these common values that result from interpolation
Confidence Critical
Value
1645
196
2575
NOTE For values of z below-3.49 use 0.0001 for the area.
Use these common values that result from interpolation:
7 Score
Area
Level
L645
0.9500
0.90
wea
0.os00
0.0050
score
2.575
0.9950
0.95
0.99
-2575
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 01 02 03 07 00 08 02 03 04 .05 06 07 09 -3.50 5279 5040 5438 5080 5120 5517 5910 0.0 5000 S160 5199 5239 5319 5714 5359 S755 641 6517 01 5398 5478 5557 5596 5636 5675 lower 02 5793 5832 S871 5948 5987 6026 6064 GIOS 0003 0003 0003 boo04 0003 0003 o003 0003 0002 0.5 6179 6217 క 6293 6331 6368 6406 6443 6480 0004 O004 Lo004 0004 0003 6554 6915 04 6591 6628 6664 6700 6736 6772 6808 6879 7224 7549 7852 8133 8389 8621 8830 6844 -32 0007 0005 6950 6985 7019 7054 7157 0.5 .7088 7123 7190 600' 9000 0007 0.6 7257 7291 7324 7357 7389 7422 7454 7486 7517 O013 6ooo 0.7 7580 7611 7642 7673 7704 7734 7764 7794 7823 D016 0015 0014 0014 7910 7881 8159 8413 7939 8212 7967 8238 8485 8708 7995 8051 B078 8340 8577 8023 8106 0026 0025 0024 0023 0023 Lo022 0021 0021 0020 O019 8365 8599 8810 8997 8186 8264 8315 0035 0034 0031 0030 0029 0028 ק. םב 0026 8438 8461 as08 8729 8925 8531 3554 0047 0044 0043 0041 pcss 0045 0040 o054 0071 0038 0057 0049 0036 8686 8888 9066 8643 8665 8749 8770 8790 O062 0048 8849 9032 8980 9147 8869 8907 8944 8962 9015 o080 0104 0136 O082 9049 9082 13 9115 9131 S162 9177 O087 O113 0146 O084 O110 9192 9332 9452 9554 9641 9207 9222 9236 9251 9265 9279 9292 9319 9306 9429 0139 0125 0162 0207 0122 0158 0202 0116 L0150 9345 9357 9370 9484 9582 9664 9394 9406 9418 9441 0179 0174 0154 0197 0250 0143 9463 9474 9573 9656 9545 9633 9706 9767 9817 9857 9890 9495 9505 9599 9678 9525 9616 9535 9625 9515 0228 0222 0217 0212 0192 0188 0183 9564 9649 9719 9778 9691 9608 0287 0281 10274 0268 0256 0244 L0239 0253 9671 9686 0359 0446 0548 0668 0808 0968 0344 0427 os26 0329 0409 osos 0351 0307 O384 0475 O582 0336 .0322 0314 J0301 0575 0465 0571 0294 0567 0455 0559 9713 9726 9732 9738 9761 9812 9854 9887 9913 9934 9951 9963 9973 9980 9986 9990 9744 9750 9756 0456 0401 20 9772 9783 9798 9803 9808 OS37 0655 •0495 0485 9821 9826 9830 9834 9838 9842 9846 9850 0630 0764 22 9861 9864 9871 9878 9881 0793 0749 0755 O885 1056 0721 0694 0838 0708 0681 23 9893 9918 9896 9898 9066 9931 9909 0853 h020 0951 0934 0825 2.4 9920 9922 9936 9952 9964 9974 9925 9927 9929 9932 9949 9962 751 T131 0985 25 2.6 9938 9940 9941 9943 9945 9946 9948 1357 1587 1841 1292, 1515 J190 3401 170 1379 1514 271 1251 1250 1210 9953 9955 9956 9957 9959 9960 9961 -10 1539 1469 1711 1977 2266 2578 1562 1446 1425 27 9965 9966 9967 9968 9970 9971 9972 1814 178 1660 28 9974 9975 9976 9977 9977 9978 9979 9979 2061 2033 1922 1894 1867 LB66 2119 2090 1949 2.9 9981 9982 9987 9982 9983 9984 9985 9989 9984 9985 2420 2743 2589 2558 12527 2256 2206 2177 2148 3.0 9987 9987 9988 9989 9990 9993 9968 9989 2643 2981 2709 2514 2483 2676 3015 261 2546 2451 31 9990 9991 9991 9991 9992 9992 9992 2946 2877 2843 2776 J085 3446 5821 3050 2912 2810 32 9993 9993 9994 9994 9994 9994 9994 9995 9995 -0-4 3156 3520 3121 3483 3372 3300 3669 4052 3264 3632 4013 3409 3336 3228 3192 33 9995 9997 9995 9995 9996 9997 9996 9996 9996 9996 9997 3557 3936 3783 3745 5707 3594 3.4 9997 9997 9997 9997 9997 9997 9997 3859 .4247 4168 4129 4090 3974 3.50 9999 4602 4562 4522 4483 4443 .4404 4364 4325 14286 and up 5000 4960 4920 4880 4840 .4801 4761 4721 4681 4641 NOTE: For values of z above 3.49, use 0.9999 for the area Common Critical Valux "Use these common values that result from interpolation Confidence Critical Value 1645 196 2575 NOTE For values of z below-3.49 use 0.0001 for the area. Use these common values that result from interpolation: 7 Score Area Level L645 0.9500 0.90 wea 0.os00 0.0050 score 2.575 0.9950 0.95 0.99 -2575
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