Transcribed Image Text: i
Standard Normal Distribution Table (page 2)
Area
Standard Nomal Distribution
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0,08
0.09
0.5000
0.5398
0.5793
0.6179
0.6554
0.5040
0.5438
0.5832
0.5080
0.5478
0.5871
0.5160
0.5557
0.5948
0.5199
0.5596
0.5987
0.6368
0.6736
0.5239
0,5636
0.6026
0.5279
0.5675
0.6064
0.6443
0.6808
0,5359
0,5753
0,6141
0.6517
0.6879
0.0
0.5120
0.5517
0.5910
0.5319
0.5714
0.6103
0.1
0.2
0.6255
0.6628
0,6480
0.6844
0.7190
0.7517
0.7823
0.3
0.6217
0.6293
0.6331
0.6406
0.6772
0.7123
0.7454
0.7764
0.8051
0,8315
0.4
0.6591
0.6664
0.6700
0.6915
0.7257
0.7580
0.7881
0.8159
0.6950
0.7291
0.7611
0.6985
0.7324
0.7642
0.7939
0.8212
0.7157
0.7486
0.7794
0.8078
0.7019
0.5
0.6
0.7
0.7357
0.7673
0,7967
0.7054
0.7389
0.7704
0.7995
0.7088
0.7422
0.7734
0.8023
0.8289
0.7224
0.7549
0.7852
0.8133
0,8389
0.8
0,9
0.7910
0.8186
0.8106
0,8365
0.8238
0.8264
0.8340
1.0
1.1
1.2
1.3
0.8413
0.8643
0.8849
0.9032
0.9192
0.8438
0.8665
0.8869
0.9049
0.9207
0.8461
0.8686
0.8888
0.9066
0.9222
0.8485
0.8708
0.8907
0.9082
0.9236
0.8508
0.8729
0.8925
0.9099
0.9251
0,8531
0.8749
0.8944
0.9115
0.9265
0.8554
0.8770
0.8962
0.9131
0.9279
0.8577
0.8790
0.8980
0.9147
0.9292
0.8599
0.8810
0.8997
0.9162
0,9306
0.8621
0.8830
0.90 15
0.9177
0,9319
1.4
0.9332
0.9452
0.9554
0.9357
0.9474
0.9573
0.9656
0.9726
0.9382
0.9495
0.9591
0.9394
0.9505
0.9599
0.9418
0.9525
0.9616
0.9693
0.9756
0.9441
0,9545
0.9633
1.5
0.9345
0.9463
0.9564
0.9649
0,9719
0.9370
1.6
1.7
0.9406
0.9515
0.9608
0.9429
0.9535
0.9625
0.9484
0.9582
0.9664
0,9732
0.9686
0,9750
0.9641
0.9713
0.9699
0,9761
0.9706
0,9767
1.8
0.9671
0.9678
0,9744
1.9
0.9738
0.9793
0.9838
0.9875
0.9904
0.9927
0.9798
0.9842
0.9878
0.9906
0.9929
0.9803
0.9846
0.9881
0.9909
0.9931
0.9812
0,9854
0.9887
0.9817
0.9857
2.0
2.1
2.2
0.9772
0.9821
0.9861
0.9893
0.9918
0.9778
0.9826
0.9864
0.9896
0.9920
0.9783
0.9830
0.9868
0.9898
0.9922
0.9788
0.9834
0.9871
0.9901
0.9925
0.9808
0.9850
0.9884
0.9890
0.9913
0.9934
0.9916
0.9936
2.3
0.9911
2.4
0.9932
0.9938
0.9953
0.9965
0.9974
0.9940
0.9955
0.9966
0.9941
0.9956
0.9967
0.9945
0.9959
0.9969
0.9946
0.9960
0.9970
0.9949
0.9962
0.9972
0.9951
0.9963
0,9973
0.9980
0,9986
2.5
2.6
2.7
2.8
0.9943
0.9957
0.9968
0.9948
0.9961
0.9971
0.9979
0,9985
0.9952
0,9964
0.9974
0.9981
0,9986
0.9975
0.9982
0.9976
0.9982
0.9977
0.9983
0.9977
0.9984
0.9979
0.9985
0.9978
2.9
0,9981
0.9984
3.0
3.1
3.2
0,9989
0.9992
0,9994
0.9989
0.9992
0,9994
0,9996
0.9997
0.9990
0.9993
0.9995
0.9990
0,9993
0,9995
0.9997
0.9998
0.9987
9987
0.9987
0.9991
0.9994
0.998
0.9991
0,9994
0.9988
0.9990
0.9993
0.9991
0.9903
0.9989
0.9992
0.9995
0.9902
3.3
3.4
0.9995
0.9997
0.9995
0.9997
0.9996
0.9997
0.9994
0.9996
0.9997
0.9996
0,9997
0.9996
0.9997
0,9995
0.9996
0.9997
0.9997
0.00
0,01
0.02
0.03
0.04
0.05
0.06
0.07
0,08
0.09
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Transcribed Image Text: Suppose a simple random sample of size n= 150 is obtained from a population whose size is N= 20,000 and whose population proportion with a specified
characteristic is p= 0.4.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) Describe the sampling distribution of p.
Choose the phrase that best describes the shape of the sampling distribution below.
O A. Approximately normal because ns0.05N and np(1-p) < 10.
O B. Not normal because ns0.05N and np(1- p) < 10.
Not normal because ns0.05N and np(1- p) 2 10.
YD. Approximately normal because ns0.05N and np(1- p) 2 10.
O C.
Determine the mean of the sampling distribution of p.
HA
= (Round to one decimal place as needed.)
O Standard Normal Distribution Table (page 1)
Area
Standard Normal Distribution
0,00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0,08
0,09
-3.4
0.0003
0.0005
0.0007
0.0003
0.0005
0.0007
0.0003
0.0005
0.0006
0.0003
0.0004
0.0003
0.0004
0.0003
0.0004
0.0006
0.0003
0.0004
0.0003
0.0003
0.0004
0.0005
0.0007
0.0010
0.0002
0.0003
0.0005
0.0007
0.0010
0.0004
-3.2
-31
-30
0.0006
0.0006
0.0008
0.0005
0.0008
0.0011
0.0006
0.0010
0.0013
0.0009
0.0013
0.0009
0.0013
0.0009
0.0012
0.0008
0.0012
0.0008
0.0011
0.0011
-29
-28
-2.7
-26
ー25
0.0019
0.0026
0.0035
0.0047
0.0015
0.0021
0.0028
0.0038
0.0051
0.0018
0.0018
0.0017
0.0016
0.0016
0.0015
0.0014
0.0014
0.0025
0.0034
0.0045
0.0060
0.0024
0.0033
0.0044
0.0023
0.0032
0.0043
0.0057
0.0023
0.0031
0.0041
0.0055
0.0022
0.0030
0.0040
0.0021
0.0029
0.0039
0.0052
0.0020
0.0027
0.0037
0.0049
0.0019
0.0026
0.0036
0.0062
0.0059
0.0054
0.0048
0.0078
0.0102
0.0132
-24
0.0082
0.0107
0.0139
0.0179
0.0228
0.0080
0.0075
0.0099
0.0129
0.0073
0.0096
0.0125
0.0162
0.0071
0.0094
0.0122
0.0158
0.0069
0.0091
0.0119
0.0068
0.0089
0.0116
0.0066
0.0087
0.0113
0.0064
-2.3
-2.2
0.0104
0.0136
0.0084
0.0110
-2.1
0.0174
0.0222
0.0170
0.0166
0.0212
0.0154
0.0197
0.0150
0.0146
0.0143
-20
0.0217
0.0207
0.0202
0.0192
0.0188
0.0183
-1.9
-L.8
-1.7
0.0287
0.0359
0.0446
0.0281
0.0351
0.0436
0.0537
0.0655
0.0274
0.0344
0.0427
0.0268
0.0336
0.0418
0.0262
0.0329
0.0409
0.0256
0.0322
0.0401
0.0250
0.0314
0.0392
0.0244
0.0307
0.0384
0.0239
0.0301
0.0375
0.0233
0.0294
0.0367
0.0495
0.0606
-1.6
0.0548
0.0668
0.0526
0.0643
0.0516
0.0505
0.0618
0.0485
0.0475
0.0465
0.0455
0.0559
-1.5
0.0630
0.0594
0.0582
0.0571
-14
-13
-1.2
0.0808
0.0968
0.1151
0.0793
0.0951
0.1131
0.0778
0.0934
0.1112
0.0764
0.0918
0.1093
0.1292
0.1515
0.0749
0.0901
0.1075
0.0735
0.0885
0.1056
0.1251
0.1469
0.0721
0.0869
0.1038
0.1230
0.1446
0.0708
0.0853
0.1020
0.1210
0.1423
0.0694
0.0838
0.1003
0.0681
0.0823
0.0985
0.1170
0.1379
-1.1
-10
0.1357
0.1587
0.1335
0.1562
0.1314
0.1539
0.1271
0.1492
0.1190
0.1401
0.1762
0.2033
0.2327
0.2643
0.2981
-0.9
0.1841
02119
0.2420
0.2743
0.3085
0.1814
0.1788
0.1736
0.2005
0.2296
0.2611
0.2946
0.1711
0.1685
0.1660
0.1635
0.1611
0.2090
0.2389
0.2709
0.3050
0.2061
0.2358
0.2676
0.3015
0.1977
0.2266
0.2578
0.2912
0.1949
0.2236
0.2546
0.2877
0.1922
0.2206
0.2514
0.2843
0.1894
0.2177
0.2483
0.2810
0.1867
02148
0.2451
02776
-0,7
-06
-0.5
03336
0.3707
0.4090
0.4483
0.4880
0.3300
0.3669
-04
-0.3
-0.2
-0.1
0.3446
0.3821
0.4207
0.4602
0.5000
0.3409
0.3783
0.4168
0.4562
0.4960
0.3372
0.3745
0.4129
0.4522
0.4920
0.3264
0.3632
0.4013
0.4404
0.3228
0.3594
0.3974
0.4364
0.4761
03156
0.3520
0.3897
0.4286
0.3192
0.3557
0.3121
0.3483
0.3859
0.4247
0.4641
0.4052
0.4443
0.4840
0.3936
0.4325
0.4721
-0.0
0.4801
0.4681
0.00
0.01
0.02
0.03
0.04
0.05
0,06
0.07
0.08
0.09