Assume that thermometer 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 1.50 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 3CYU
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Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of
1.00 C. A themometer 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 1.50 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.
OA.
O B.
OC.
z=1.50 z-2.25
z=1.50
N3D2.25
z=1.50
z=2.25
The probability of getting a reading between 1.50°C and 2.25°C is
(Round to four decimal places as needed.)
Transcribed Image Text:Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00 C. A themometer 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 1.50 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. OA. O B. OC. z=1.50 z-2.25 z=1.50 N3D2.25 z=1.50 z=2.25 The probability of getting a reading between 1.50°C and 2.25°C is (Round to four decimal places as needed.)
Standard Normal Table (Page 1)
Standard Normal Table (Page 2)
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
04
07
08
04
05
07
08
-150
S319
5714
5279
5675
6064
6443
6808
7157
7486
7794
8078
SO80
$478
san
.5239
5359
5753
6141
6517
G879
7224
757 7549
7852
8153
$120
SS17
Si60
5557
5948
0.0
01
5596
9696
6026
0003
0004
6480
6844
755
6406
0004
0004
0004
0006
Co08
0004
GE64
2019
6700
6554
69:5
725%
6772
724
04
6678
32
COOS
0005
0.
16950
6945
C007
0007
7589
7704
17995
7324
30
-29
-28
D012
C010
0014
0020
0027
0037
0049
C068 0066
0087
07
2764
7823
7675
7967
0014
2881
3025
0023
0023
.0022
0030
0040
0021
0028
0021
8212
4186
438
ELES
D026
1461
.4531
as54
8577
8790
4485
4508
-2.6
0047
0041
8830
0057
O052
0048
12
9147
9292
9418
9525
9616
9693
9756
0078
0073
0071
9049
19162
9177
9319
9441
9545
9633
9706
9767
9817
9857
9131
107
OC84
3222
9357
9236
9370
9251
9265
9279
o136
0129
0125
0122
9332
9452
9345
9394
9382
9495 9505
9591 49599
9671
9429
0158
0202
0256
0322
O154
0197
D150
0192
0146
9474
9434
9535
0228
0287
0359
0446
os48
0222
0281
0212
0207
0262
9564
9649
9575
3656
9334
9582
S664
9732
9788
9625
9699
9761
9812
9854
9887
9913
0274
0244
0J07
0384
0475
O582
0708
O653
1020
1210
3423
0239
0301
0575
0465
0571
0634
0233
0234
0367
0455
0559
9641
9678
9686
9750
9803
O314
0392
0485
0594
0721
9/19
9726
9738
9744
0436
o557
0409
20
21
9783
9793
9808
osos 049S
A 0G06
0735
9821
4326
Gaso
9838
9842
9850
9884
1886
19834
3846
9861
9864
0868
9871
9875
9878
OB0B
073
0778
0764)
0749
23
24
25
26
27
28
9898
96961
9922
9904
9909
9166-
9936
106
9918
9920
9929
9927
9945
9959
9969
9977
9931
9934
S60
1095
(292
1056
1251
1469
FOOL
3190
9940
9943
9946
9952
1357
as87
1535
562
127
1492
250
446
170
1579
9953
9965
9355
9966
9975
9957
9961
9962 9965
9964
3401
9967
9970
9978
9984
9989
9971
9972
9974
9981
9975
9974
9976
9977
9979
867
6466
9986
1949
2236
2544
2877
2033
2090
2389
2709
osor.
3409
2061
2.9
9981
9985
9989
9992
9963
12420
243
2206
2514
9987
9987
9987
9991
9968
9988
6956
9995
9990
2451
2776
$121
2483
9992
9992
9992
9993
2010
32
9993
9995
9997
9993
9994
9994
9994
9994
9995
9935
9995
9995
9666
9997
9996
9996
9656
9996
34
9997
9997
9997
2666
9997
9997
9998
s97
1286
3936
4168
4562
4207
4090
409
4522
4920
4483
Ind up
5000
4880
MAOI
4261
14721
NOTE For values of z above 3.49, use 09999 for the area.
Common Citical Valu
T these common values that result from interpolation
NOTE For vales of z below -348 use 0 0o01 for the area
"Use these
Confidence Critical
Value.
Level
7SEOre
Area
rom interpolaion
1645
2575
0.9500
0.90
1645
score
196
2575
0.9950
0.95
-L645 0soo
0.99
-2575
Transcribed Image Text:Standard Normal Table (Page 1) Standard Normal Table (Page 2) 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 04 07 08 04 05 07 08 -150 S319 5714 5279 5675 6064 6443 6808 7157 7486 7794 8078 SO80 $478 san .5239 5359 5753 6141 6517 G879 7224 757 7549 7852 8153 $120 SS17 Si60 5557 5948 0.0 01 5596 9696 6026 0003 0004 6480 6844 755 6406 0004 0004 0004 0006 Co08 0004 GE64 2019 6700 6554 69:5 725% 6772 724 04 6678 32 COOS 0005 0. 16950 6945 C007 0007 7589 7704 17995 7324 30 -29 -28 D012 C010 0014 0020 0027 0037 0049 C068 0066 0087 07 2764 7823 7675 7967 0014 2881 3025 0023 0023 .0022 0030 0040 0021 0028 0021 8212 4186 438 ELES D026 1461 .4531 as54 8577 8790 4485 4508 -2.6 0047 0041 8830 0057 O052 0048 12 9147 9292 9418 9525 9616 9693 9756 0078 0073 0071 9049 19162 9177 9319 9441 9545 9633 9706 9767 9817 9857 9131 107 OC84 3222 9357 9236 9370 9251 9265 9279 o136 0129 0125 0122 9332 9452 9345 9394 9382 9495 9505 9591 49599 9671 9429 0158 0202 0256 0322 O154 0197 D150 0192 0146 9474 9434 9535 0228 0287 0359 0446 os48 0222 0281 0212 0207 0262 9564 9649 9575 3656 9334 9582 S664 9732 9788 9625 9699 9761 9812 9854 9887 9913 0274 0244 0J07 0384 0475 O582 0708 O653 1020 1210 3423 0239 0301 0575 0465 0571 0634 0233 0234 0367 0455 0559 9641 9678 9686 9750 9803 O314 0392 0485 0594 0721 9/19 9726 9738 9744 0436 o557 0409 20 21 9783 9793 9808 osos 049S A 0G06 0735 9821 4326 Gaso 9838 9842 9850 9884 1886 19834 3846 9861 9864 0868 9871 9875 9878 OB0B 073 0778 0764) 0749 23 24 25 26 27 28 9898 96961 9922 9904 9909 9166- 9936 106 9918 9920 9929 9927 9945 9959 9969 9977 9931 9934 S60 1095 (292 1056 1251 1469 FOOL 3190 9940 9943 9946 9952 1357 as87 1535 562 127 1492 250 446 170 1579 9953 9965 9355 9966 9975 9957 9961 9962 9965 9964 3401 9967 9970 9978 9984 9989 9971 9972 9974 9981 9975 9974 9976 9977 9979 867 6466 9986 1949 2236 2544 2877 2033 2090 2389 2709 osor. 3409 2061 2.9 9981 9985 9989 9992 9963 12420 243 2206 2514 9987 9987 9987 9991 9968 9988 6956 9995 9990 2451 2776 $121 2483 9992 9992 9992 9993 2010 32 9993 9995 9997 9993 9994 9994 9994 9994 9995 9935 9995 9995 9666 9997 9996 9996 9656 9996 34 9997 9997 9997 2666 9997 9997 9998 s97 1286 3936 4168 4562 4207 4090 409 4522 4920 4483 Ind up 5000 4880 MAOI 4261 14721 NOTE For values of z above 3.49, use 09999 for the area. Common Citical Valu T these common values that result from interpolation NOTE For vales of z below -348 use 0 0o01 for the area "Use these Confidence Critical Value. Level 7SEOre Area rom interpolaion 1645 2575 0.9500 0.90 1645 score 196 2575 0.9950 0.95 -L645 0soo 0.99 -2575
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