Use the normal distribution of SAT critical reading scores for which the mean is 500 and the standard deviation is 105. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING... Question content area bottom Part 1 (a) Approximately enter your response here% of the SAT verbal scores are less than 650. (Round to two decimal places as needed.) Part 2 (b) You would expect that approximately enter your response here
Use the normal distribution of SAT critical reading scores for which the mean is 500 and the standard deviation is 105. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING... Question content area bottom Part 1 (a) Approximately enter your response here% of the SAT verbal scores are less than 650. (Round to two decimal places as needed.) Part 2 (b) You would expect that approximately enter your response here
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
Use the normal distribution of SAT critical reading scores for which the mean is
normally distributed .
500
and the standard deviation is
105.
Assume the variable x is |
(a)
|
What percent of the SAT verbal scores are less than
650?
|
|
(b)
|
If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than
525?
|
Click to view page 1 of the standard normal table.
LOADING...
Click to view page 2 of the standard normal table.
LOADING...
Question content area bottom
Part 1
(a)
Approximately
enter your response here%
of the SAT verbal scores are less than
650.
(Round to two decimal places as needed.)
Part 2
(b)
You would expect that approximately
enter your response here
SAT verbal scores would be greater than
525.
(Round to the nearest whole number as needed.) |
z
|
0.09
|
0.08
|
0.07
|
0.06
|
0.05
|
0.04
|
0.03
|
0.02
|
0.01
|
0.00
|
|---|---|---|---|---|---|---|---|---|---|---|
|
−3.4
|
0.0002
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
|
−3.3
|
0.0003
|
0.0004
|
0.0004
|
0.0004
|
0.0004
|
0.0004
|
0.0004
|
0.0005
|
0.0005
|
0.0005
|
|
−3.2
|
0.0005
|
0.0005
|
0.0005
|
0.0006
|
0.0006
|
0.0006
|
0.0006
|
0.0006
|
0.0007
|
0.0007
|
|
−3.1
|
0.0007
|
0.0007
|
0.0008
|
0.0008
|
0.0008
|
0.0008
|
0.0009
|
0.0009
|
0.0009
|
0.0010
|
|
−3.0
|
0.0010
|
0.0010
|
0.0011
|
0.0011
|
0.0011
|
0.0012
|
0.0012
|
0.0013
|
0.0013
|
0.0013
|
|
−2.9
|
0.0014
|
0.0014
|
0.0015
|
0.0015
|
0.0016
|
0.0016
|
0.0017
|
0.0018
|
0.0018
|
0.0019
|
|
−2.8
|
0.0019
|
0.0020
|
0.0021
|
0.0021
|
0.0022
|
0.0023
|
0.0023
|
0.0024
|
0.0025
|
0.0026
|
|
−2.7
|
0.0026
|
0.0027
|
0.0028
|
0.0029
|
0.0030
|
0.0031
|
0.0032
|
0.0033
|
0.0034
|
0.0035
|
|
−2.6
|
0.0036
|
0.0037
|
0.0038
|
0.0039
|
0.0040
|
0.0041
|
0.0043
|
0.0044
|
0.0045
|
0.0047
|
|
−2.5
|
0.0048
|
0.0049
|
0.0051
|
0.0052
|
0.0054
|
0.0055
|
0.0057
|
0.0059
|
0.0060
|
0.0062
|
|
−2.4
|
0.0064
|
0.0066
|
0.0068
|
0.0069
|
0.0071
|
0.0073
|
0.0075
|
0.0078
|
0.0080
|
0.0082
|
|
−2.3
|
0.0084
|
0.0087
|
0.0089
|
0.0091
|
0.0094
|
0.0096
|
0.0099
|
0.0102
|
0.0104
|
0.0107
|
|
−2.2
|
0.0110
|
0.0113
|
0.0116
|
0.0119
|
0.0122
|
0.0125
|
0.0129
|
0.0132
|
0.0136
|
0.0139
|
|
−2.1
|
0.0143
|
0.0146
|
0.0150
|
0.0154
|
0.0158
|
0.0162
|
0.0166
|
0.0170
|
0.0174
|
0.0179
|
|
−2.0
|
0.0183
|
0.0188
|
0.0192
|
0.0197
|
0.0202
|
0.0207
|
0.0212
|
0.0217
|
0.0222
|
0.0228
|
|
−1.9
|
0.0233
|
0.0239
|
0.0244
|
0.0250
|
0.0256
|
0.0262
|
0.0268
|
0.0274
|
0.0281
|
0.0287
|
|
−1.8
|
0.0294
|
0.0301
|
0.0307
|
0.0314
|
0.0322
|
0.0329
|
0.0336
|
0.0344
|
0.0351
|
0.0359
|
|
−1.7
|
0.0367
|
0.0375
|
0.0384
|
0.0392
|
0.0401
|
0.0409
|
0.0418
|
0.0427
|
0.0436
|
0.0446
|
|
−1.6
|
0.0455
|
0.0465
|
0.0475
|
0.0485
|
0.0495
|
0.0505
|
0.0516
|
0.0526
|
0.0537
|
0.0548
|
|
−1.5
|
0.0559
|
0.0571
|
0.0582
|
0.0594
|
0.0606
|
0.0618
|
0.0630
|
0.0643
|
0.0655
|
0.0668
|
|
−1.4
|
0.0681
|
0.0694
|
0.0708
|
0.0721
|
0.0735
|
0.0749
|
0.0764
|
0.0778
|
0.0793
|
0.0808
|
|
−1.3
|
0.0823
|
0.0838
|
0.0853
|
0.0869
|
0.0885
|
0.0901
|
0.0918
|
0.0934
|
0.0951
|
0.0968
|
|
−1.2
|
0.0985
|
0.1003
|
0.1020
|
0.1038
|
0.1056
|
0.1075
|
0.1093
|
0.1112
|
0.1131
|
0.1151
|
|
−1.1
|
0.1170
|
0.1190
|
0.1210
|
0.1230
|
0.1251
|
0.1271
|
0.1292
|
0.1314
|
0.1335
|
0.1357
|
|
−1.0
|
0.1379
|
0.1401
|
0.1423
|
0.1446
|
0.1469
|
0.1492
|
0.1515
|
0.1539
|
0.1562
|
0.1587
|
|
−0.9
|
0.1611
|
0.1635
|
0.1660
|
0.1685
|
0.1711
|
0.1736
|
0.1762
|
0.1788
|
0.1814
|
0.1841
|
|
−0.8
|
0.1867
|
0.1894
|
0.1922
|
0.1949
|
0.1977
|
0.2005
|
0.2033
|
0.2061
|
0.2090
|
0.2119
|
|
−0.7
|
0.2148
|
0.2177
|
0.2206
|
0.2236
|
0.2266
|
0.2296
|
0.2327
|
0.2358
|
0.2389
|
0.2420
|
|
−0.6
|
0.2451
|
0.2483
|
0.2514
|
0.2546
|
0.2578
|
0.2611
|
0.2643
|
0.2676
|
0.2709
|
0.2743
|
|
−0.5
|
0.2776
|
0.2810
|
0.2843
|
0.2877
|
0.2912
|
0.2946
|
0.2981
|
0.3015
|
0.3050
|
0.3085
|
|
−0.4
|
0.3121
|
0.3156
|
0.3192
|
0.3228
|
0.3264
|
0.3300
|
0.3336
|
0.3372
|
0.3409
|
0.3446
|
|
−0.3
|
0.3483
|
0.3520
|
0.3557
|
0.3594
|
0.3632
|
0.3669
|
0.3707
|
0.3745
|
0.3783
|
0.3821
|
|
−0.2
|
0.3859
|
0.3897
|
0.3936
|
0.3974
|
0.4013
|
0.4052
|
0.4090
|
0.4129
|
0.4168
|
0.4207
|
|
−0.1
|
0.4247
|
0.4286
|
0.4325
|
0.4364
|
0.4404
|
0.4443
|
0.4483
|
0.4522
|
0.4562
|
0.4602
|
|
−0.0
|
0.4641
|
0.4681
|
0.4721
|
0.4761
|
0.4801
|
0.4840
|
0.4880
|
0.4920
|
0.4960
|
0.5000
|
|
z
|
0.09
|
0.08
|
0.07
|
0.06
|
0.05
|
0.04
|
0.03
|
0.02
|
0.01
|
0.00
|
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