10. The admissions committee of a doctoral program in Clinical Psychology has given a test of psychological statistics to a large number of prospective applicants. The results obtained from 500 applicants indicated that the frequency distribution of scores is approximately normal. The mean was 84 points and the standard deviation was 5 points. If your Z score was 1.50, what was your raw score? b. What percentage of those tested scored 80 points or below? What is the raw score that corresponds to the 90h percentile (at or below p = .9000)? a. с.
10. The admissions committee of a doctoral program in Clinical Psychology has given a test of psychological statistics to a large number of prospective applicants. The results obtained from 500 applicants indicated that the frequency distribution of scores is approximately normal. The mean was 84 points and the standard deviation was 5 points. If your Z score was 1.50, what was your raw score? b. What percentage of those tested scored 80 points or below? What is the raw score that corresponds to the 90h percentile (at or below p = .9000)? a. с.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:10. The admissions committee of a doctoral program in Clinical Psychology has given a test of psychological
statistics to a large number of prospective applicants. The results obtained from 500 applicants indicated that the
frequency distribution of scores is approximately normal. The mean was 84 points and the standard deviation
was 5 points.
If your Z score was 1.50, what was your raw score?
b. What percentage of those tested scored 80 points or below?
What is the raw score that corresponds to the 90th percentile (at or below p = .9000)?
а.
с.
Transcribed Image Text:Fall 2021
a level
One-tailed (left)
One-tailed (right)
Two-tailed
area
of critical
region
a area
of critical,
region
a area
of critical
region
a = 0.05
2= -1.64
z = 1.64
z = +1.96
a = 0.01
z= -2.33
z = 2.33
z = +2.57
a = 0.001
2 = -3.08
z = 3.08
2 = +3.32
Standard Normal Table
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.5080
0.5478
0.0
0.5000
0.5040
0.5120
0.5160
0.5199
0.5239
0.5279
0.5319
0.5359
0.5753
0.6141
0.1
0.5398
0.5438
0.5517
0.5557
0.5596
0.5636
0.5675
0.5714
0.5793
0.6179
0.2
0.5832
0.5871
0.5910
0.5948
0.5987
0.6026
0.6064
0.6103
0.3
0.6217
0.6255
0.6293
0.6331
0.6368
0.6406
0.6443
0.6480
0.6517
0.4
0.6554
0.6591
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.6
0.7257
0.7291
0.7324
0.7357
0.7389
0.7422
0.7454
0.7486
0.7517
0.7549
0.7
0.7580
0.7611
0.7642
0.7673
0.7704
0.7734
0.7764
0.7794
0.7823
0.7852
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133
0.9
0.8159
0.8186
0.8212
0.8238
0.8264
0.8289
0.8315
0.8340
0.8365
0.8389
1.0
0.8413
0.8438
0.8461
0.8485
0.8508
0.8531
0.8554
0.8577
0.8599
0.8621
0.8665
0.8869
0.8770
0.8962
1.1
0.8643
0.8686
0.8708
0.8729
0.8749
0.8790
0.8810
0.8830
0.8849
0.9032
0.8888
0.9066
0.8925
0.9099
1.2
0.8907
0.8944
0.8980
0.8997
0.9015
1.3
0.9049
0.9082
0.9115
0.9131
0.9147
0.9162
0.9177
1.4
0.9192
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306
0.9319
1.5
0.9332
0.9345
0.9357
0.9370
0.9382
0.9394
0.9406
0.9418
0.9429
0.9441
1.6
0.9452
0.9463
0.9474
0.9484
0.9495
0.9505
0.9515
0.9525
0.9535
0.9545
1.7
0.9554
0.9564
0.9573
0.9582
0.9591
0.9599
0.9608
0.9616
0.9625
0.9633
1.8
0.9641
0.9649
0.9656
0.9664
0.9671
0.9678
0.9686
0.9693
0.9699
0.9706
1.9
0.9713
0.9719
0.9726
0.9732
0.9738
0.9744
0.9750
0.9756
0.9761
0.9767
2.0
0.9772
0.9778
0.9783
0.9788
0.9793
0.9798
0.9803
0.9808
0.9812
0.9817
0.9838
0.9875
0.9842
0.9878
2.1
0.9821
0.9826
0.9830
0.9834
0.9846
0.9850
0.9854
0.9857
2.2
0.9861
0.9864
0.9868
0.9871
0.9881
0.9884
0.9887
0.9890
2.3
0.9893
0.9896
0.9898
0.9901
0.9904
0.9906
0.9909
0.9911
0.9913
0.9916
2.4
0.9918
0.9920
0.9922
0.9924
0.9927
0.9929
0.9931
0.9932
0.9934
0.9936
0.9945
0.9958
2.5
0.9938
0.9940
0.9941
0.9943
0.9946
0.9948
0.9949
0.9951
0.9952
2.6
0.9953
0.9955
0.9956
0.9957
0.9960
0.9961
0.9962
0.9963
0.9964
2.7
0.9965
0.9966
0.9967
0.9968
0.9969
0.9970
0.9971
0.9972
0.9973
0.9974
2.8
0.9974
0.9975
0.9976
0.9977
0.9977
0.9978
0.9979
0.9979
0.9980
0.9981
2.9
0.9981
0.9982
0.9982
0.9983
0.9984
0.9984
0.9985
0.9985
0.9986
0.9986
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