k here to view the standard normal distribution table (page 1). k here to view the standard normal distribution table (page 2). Describe the sampling distribution of p. ose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because ns0.05N and np(1 - p) < 10. B. Not normal because ns0.05N and np(1 - p) < 10. c. Approximately normal becausens0.05N and np(1 - p) 2 10. D. Not normal because ns0.05N and np(1 -p) 2 10. ermine the mean of the sampling distribution of p. 0.2 (Round to one decimal place as needed.) ermine the standard deviation of the sampling distribution of p. 0.035777 (Round to six decimal places as needed.) What is the probability of obtaining x = 30 or more individuals with the characteristic? That is, what is P(p 2 0.24)?
k here to view the standard normal distribution table (page 1). k here to view the standard normal distribution table (page 2). Describe the sampling distribution of p. ose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because ns0.05N and np(1 - p) < 10. B. Not normal because ns0.05N and np(1 - p) < 10. c. Approximately normal becausens0.05N and np(1 - p) 2 10. D. Not normal because ns0.05N and np(1 -p) 2 10. ermine the mean of the sampling distribution of p. 0.2 (Round to one decimal place as needed.) ermine the standard deviation of the sampling distribution of p. 0.035777 (Round to six decimal places as needed.) What is the probability of obtaining x = 30 or more individuals with the characteristic? That is, what is P(p 2 0.24)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Answer parts A and C Only!
![Standard normal distribution table (page 1)
Standard normal distribution table (page 2)
Area
Area
Standard Normal Distribution
Standard Normal Distribution
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0003
0.0005
0.0007
0.0003
0.0005
0.0006
0.0009
0.0013
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.5160
0.5557
0.5948
0.0003
0.0004
0.0003
0.0004
0.0005
0.0002
0.0003
0.0005
0.5000
0.5398
0.5793
0.5040
0.5438
0.5832
0.5199
0.5239
-3.4
-3.3
-3.2
-3.1
-3.0
0.5319
0.5714
0.6103
0.0003
0.0005
0.0003
0.0004
0.0005
0.0007
0.0010
0.0
0.1
0.2
0.5080
0.5478
0.5120
0.5517
0.5910
0.5279
0.5675
0.6064
0.6443
0.5359
0.5753
0.6141
0.5596
0.5987
0.5636
0.6026
0.0007
0.0006
0.5871
0.0009
0.0012
0.6217
0.6591
0.6255
0.6628
0.6368
0.6736
0.0010
0.0009
0.0013
0.0008
0.0008
0.0012
0.0008
0.0011
0.0007
0.0010
0.6179
0.6554
0.0008
0.3
0.4
0.6293
0.6664
0.6331
0.6700
0.6406
0.6772
0.6480
0.6844
0.6517
0.6879
0.0013
0.0011
0.0011
0.6808
0.5
-29
-28
-2.7
0.0019
0.0026
0.0035
0.0018
0.0025
0.0034
0.0018
0.0024
0.0033
0.0017
0.0023
0.0032
0.0015
0.0021
0.0029
0.0015
0.0021
0.0028
0.0014
0.0020
0.0027
0.0037
0.0049
0.0014
0.0019
0.0026
0.6915
0.7257
0.7580
0.6950
0.7291
0.7611
0.6985
0.7324
0.7642
0.7019
0.7357
0.7673
0.7967
0.7054
0.7389
0.7704
0.7190
0.7517
0.7823
0.7224
0.7549
0.7852
0.0016
0.0023
0.0016
0.0022
0.0030
0.0040
0.0054
0.7088
0.7422
0.7734
0.7123
0.7454
0.7764
0.7157
0.7486
0.6
0.0031
0.7
0.7794
-2.6
-2.5
0.0047
0.0062
0.0045
0.0060
0.0044
0.0059
0.0043
0.0057
0.0041
0.0055
0.0039
0.0052
0.0038
0.0051
0.0036
0.0048
0.8
0.9
0.7881
0.8159
0.7939
0.8212
0.7995
0.8264
0.8078
0.8340
0.8133
0.8389
0.7910
0.8023
0.8289
0.8051
0.8315
0.8106
0.8186
0.8238
0.8365
0.0073
-2.4
-2.3
-2.2
0.0082
0.0107
0.0080
0.0104
0.0078
0.0102
0.0132
0.0170
0.0217
0.0075
0.0099
0.0129
0.0071
0.0094
0.0122
0.0069
0.0091
0.0119
0.0068
0.0089
0.0116
0.0150
0.0192
0.0066
0.0087
0.0113
0.0064
0.0084
0.0110
0.0143
0.0183
1.0
1.1
1.2
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
0.8485
0.8708
0.8508
0.8729
0.8577
0.8790
0.8531
0.8749
0.8554
0.8770
0.8962
0.9131
0.9279
0.8599
0.8621
0.8830
0.90 15
0.8810
0.8997
0.9162
0.9306
0.0096
0.0139
0.0136
0.0125
0.8907
0.8925
0.8944
0.8980
-2.1
-2.0
0.0174
0.0222
0.0154
0.0197
0.9082
0.9236
0.9115
0.9265
0.9147
0.9292
0.0179
0.0166
0.0212
0.0162
0.0207
0.0158
0.0202
0.0146
0.0188
1.3
1.4
0.9066
0.9099
0.9251
0.9177
0.9319
0.0228
0.9222
0.0287
0.0359
0.0446
0.0548
0.0668
0.0281
0.0351
0.0436
0.0274
0.0344
0.0427
0.0268
0.0336
0.0418
0.0262
0.0329
0.0409
0.0505
0.0618
0.0256
0.0322
0.0401
0.0250
0.0314
0.0392
0.0485
0.0594
0.0244
0.0307
0.0384
0.0239
0.0301
0.0375
0.0233
0.0294
0.0367
0.9332
0.9452
0.9554
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0.9484
0.9582
0.9441
0.9545
0.9633
-1.9
-1.8
1.5
1.6
1.7
0.9345
0.9463
0.9564
0.9382
0.9495
0.9394
0.9505
0.9599
0.9406
0.9515
0.9608
0.9418
0.9525
0.9616
0.9429
0.9535
0.9625
-1.7
0.9591
-1.6
-1.5
0.0537
0.0655
0.0526
0.0643
0.0516
0.0630
0.0495
0.0606
0.0475
0.0582
0.0465
0.0571
0.0455
0.0559
1.8
1.9
0.9641
0.9713
0.9649
0.9719
0.9671
0.9738
0.9678
0.9744
0.9693
0.9756
0.9664
0.9686
0.9750
0.9699
0.9761
0.9706
0.9767
0.9732
-1.4
-13
-1.2
0.0808
0.0968
0.1151
0.0793
0.0951
0.1131
0.1335
0.1562
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
0.0694
0.0838
0.1003
0.0681
0.0823
0.0985
0.1170
0.1379
2.0
2.1
2.2
2.3
2.4
0.9772
0.9821
0.9861
0.9778
0.9826
0.9864
0.9783
0.9830
0.9868
0.9788
0.9834
0.9871
0.9901
0.9925
0.9793
0.9838
0.9875
0.9798
0.9842
0.9878
0.9808
0.9850
0.9884
0.9817
0.9857
0.9890
0.9916
0.9936
0.9803
0.9846
0.9812
0.9854
0.9887
0.9881
-1.1
-1.0
0.1357
0.1587
0.1314
0.1539
0.1271
0.1492
0.1210
0.1423
0.1190
0.1401
0.9893
0.9918
0.9896
0.9920
0.9898
0.9922
0.9904
0.9927
0.9906
0.9929
0.9909
0.9911
0.9932
0.9913
0.9934
0.9931
0.1788
0.2061
0.2358
0.1635
0.1894
0.2177
0.9938
0.9953
0.9965
0.0074
0.9946
0.9960
0.9970
0.9952
0.9964
0.9974
-0.9
-08
-0.7
0.1841
0.2119
0.2420
0.1814
0.2090
0.2389
0.1736
0.2005
0.1685
0.1949
0.1611
0.1867
0.2148
0.2451
2.5
2.6
2.7
0.9940
0.9955
0.9966
0.9941
0.9956
0.9967
0.9943
0.9957
0.9968
0.9948
0.9961
0.9971
0.9951
0.9963
0.9973
0.1762
0.2033
0.1711
0.1977
0.2266
0.1660
0.1922
0.2206
0.9945
0.9959
0.9969
0.9949
0.9962
0.9972
0.2327
0.2296
0.2236
-0.6
0.2743
0.2709
0.2676
0.2643
0.2611
0.2578
0.2546
0.2514
0.2483
2.8
0.0075
0.0076
0.0077
0.0077
0.09978
0.0070
0.0079
0.0080
0.0081](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91e372cb-e18f-47dd-a904-4f86460a4ddf%2F66239a7d-7013-4951-a448-6f67d13c466f%2Fjin88zj_processed.png&w=3840&q=75)
Transcribed Image Text:Standard normal distribution table (page 1)
Standard normal distribution table (page 2)
Area
Area
Standard Normal Distribution
Standard Normal Distribution
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0003
0.0005
0.0007
0.0003
0.0005
0.0006
0.0009
0.0013
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.5160
0.5557
0.5948
0.0003
0.0004
0.0003
0.0004
0.0005
0.0002
0.0003
0.0005
0.5000
0.5398
0.5793
0.5040
0.5438
0.5832
0.5199
0.5239
-3.4
-3.3
-3.2
-3.1
-3.0
0.5319
0.5714
0.6103
0.0003
0.0005
0.0003
0.0004
0.0005
0.0007
0.0010
0.0
0.1
0.2
0.5080
0.5478
0.5120
0.5517
0.5910
0.5279
0.5675
0.6064
0.6443
0.5359
0.5753
0.6141
0.5596
0.5987
0.5636
0.6026
0.0007
0.0006
0.5871
0.0009
0.0012
0.6217
0.6591
0.6255
0.6628
0.6368
0.6736
0.0010
0.0009
0.0013
0.0008
0.0008
0.0012
0.0008
0.0011
0.0007
0.0010
0.6179
0.6554
0.0008
0.3
0.4
0.6293
0.6664
0.6331
0.6700
0.6406
0.6772
0.6480
0.6844
0.6517
0.6879
0.0013
0.0011
0.0011
0.6808
0.5
-29
-28
-2.7
0.0019
0.0026
0.0035
0.0018
0.0025
0.0034
0.0018
0.0024
0.0033
0.0017
0.0023
0.0032
0.0015
0.0021
0.0029
0.0015
0.0021
0.0028
0.0014
0.0020
0.0027
0.0037
0.0049
0.0014
0.0019
0.0026
0.6915
0.7257
0.7580
0.6950
0.7291
0.7611
0.6985
0.7324
0.7642
0.7019
0.7357
0.7673
0.7967
0.7054
0.7389
0.7704
0.7190
0.7517
0.7823
0.7224
0.7549
0.7852
0.0016
0.0023
0.0016
0.0022
0.0030
0.0040
0.0054
0.7088
0.7422
0.7734
0.7123
0.7454
0.7764
0.7157
0.7486
0.6
0.0031
0.7
0.7794
-2.6
-2.5
0.0047
0.0062
0.0045
0.0060
0.0044
0.0059
0.0043
0.0057
0.0041
0.0055
0.0039
0.0052
0.0038
0.0051
0.0036
0.0048
0.8
0.9
0.7881
0.8159
0.7939
0.8212
0.7995
0.8264
0.8078
0.8340
0.8133
0.8389
0.7910
0.8023
0.8289
0.8051
0.8315
0.8106
0.8186
0.8238
0.8365
0.0073
-2.4
-2.3
-2.2
0.0082
0.0107
0.0080
0.0104
0.0078
0.0102
0.0132
0.0170
0.0217
0.0075
0.0099
0.0129
0.0071
0.0094
0.0122
0.0069
0.0091
0.0119
0.0068
0.0089
0.0116
0.0150
0.0192
0.0066
0.0087
0.0113
0.0064
0.0084
0.0110
0.0143
0.0183
1.0
1.1
1.2
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
0.8485
0.8708
0.8508
0.8729
0.8577
0.8790
0.8531
0.8749
0.8554
0.8770
0.8962
0.9131
0.9279
0.8599
0.8621
0.8830
0.90 15
0.8810
0.8997
0.9162
0.9306
0.0096
0.0139
0.0136
0.0125
0.8907
0.8925
0.8944
0.8980
-2.1
-2.0
0.0174
0.0222
0.0154
0.0197
0.9082
0.9236
0.9115
0.9265
0.9147
0.9292
0.0179
0.0166
0.0212
0.0162
0.0207
0.0158
0.0202
0.0146
0.0188
1.3
1.4
0.9066
0.9099
0.9251
0.9177
0.9319
0.0228
0.9222
0.0287
0.0359
0.0446
0.0548
0.0668
0.0281
0.0351
0.0436
0.0274
0.0344
0.0427
0.0268
0.0336
0.0418
0.0262
0.0329
0.0409
0.0505
0.0618
0.0256
0.0322
0.0401
0.0250
0.0314
0.0392
0.0485
0.0594
0.0244
0.0307
0.0384
0.0239
0.0301
0.0375
0.0233
0.0294
0.0367
0.9332
0.9452
0.9554
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0.9484
0.9582
0.9441
0.9545
0.9633
-1.9
-1.8
1.5
1.6
1.7
0.9345
0.9463
0.9564
0.9382
0.9495
0.9394
0.9505
0.9599
0.9406
0.9515
0.9608
0.9418
0.9525
0.9616
0.9429
0.9535
0.9625
-1.7
0.9591
-1.6
-1.5
0.0537
0.0655
0.0526
0.0643
0.0516
0.0630
0.0495
0.0606
0.0475
0.0582
0.0465
0.0571
0.0455
0.0559
1.8
1.9
0.9641
0.9713
0.9649
0.9719
0.9671
0.9738
0.9678
0.9744
0.9693
0.9756
0.9664
0.9686
0.9750
0.9699
0.9761
0.9706
0.9767
0.9732
-1.4
-13
-1.2
0.0808
0.0968
0.1151
0.0793
0.0951
0.1131
0.1335
0.1562
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
0.0694
0.0838
0.1003
0.0681
0.0823
0.0985
0.1170
0.1379
2.0
2.1
2.2
2.3
2.4
0.9772
0.9821
0.9861
0.9778
0.9826
0.9864
0.9783
0.9830
0.9868
0.9788
0.9834
0.9871
0.9901
0.9925
0.9793
0.9838
0.9875
0.9798
0.9842
0.9878
0.9808
0.9850
0.9884
0.9817
0.9857
0.9890
0.9916
0.9936
0.9803
0.9846
0.9812
0.9854
0.9887
0.9881
-1.1
-1.0
0.1357
0.1587
0.1314
0.1539
0.1271
0.1492
0.1210
0.1423
0.1190
0.1401
0.9893
0.9918
0.9896
0.9920
0.9898
0.9922
0.9904
0.9927
0.9906
0.9929
0.9909
0.9911
0.9932
0.9913
0.9934
0.9931
0.1788
0.2061
0.2358
0.1635
0.1894
0.2177
0.9938
0.9953
0.9965
0.0074
0.9946
0.9960
0.9970
0.9952
0.9964
0.9974
-0.9
-08
-0.7
0.1841
0.2119
0.2420
0.1814
0.2090
0.2389
0.1736
0.2005
0.1685
0.1949
0.1611
0.1867
0.2148
0.2451
2.5
2.6
2.7
0.9940
0.9955
0.9966
0.9941
0.9956
0.9967
0.9943
0.9957
0.9968
0.9948
0.9961
0.9971
0.9951
0.9963
0.9973
0.1762
0.2033
0.1711
0.1977
0.2266
0.1660
0.1922
0.2206
0.9945
0.9959
0.9969
0.9949
0.9962
0.9972
0.2327
0.2296
0.2236
-0.6
0.2743
0.2709
0.2676
0.2643
0.2611
0.2578
0.2546
0.2514
0.2483
2.8
0.0075
0.0076
0.0077
0.0077
0.09978
0.0070
0.0079
0.0080
0.0081
![Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p= 0.2.
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.
A. Approximately normal because n<0.05N and np(1 - p) < 10.
B. Not normal because n<0.05N and np(1 - p)< 10.
C. Approximately normal because n<0.05N and np(1 - p) 2 10.
D. Not normal because n s0.05N and np(1 – p) > 10.
Determine the mean of the sampling distribution of p.
HA = 0.2 (Round to one decimal place as needed.)
p
Determine the standard deviation of the sampling distribution of p.
On = 0.035777 (Round to six decimal places as needed.)
(b) What is the probability of obtaining x = 30 or more individuals with the characteristic? That is, what is P(p20.24)?
P(p20.24) = 0.1318 (Round to four decimal places as needed.)
(c) What is the probability of obtaining x= 15 or fewer individuals with the characteristic? That is, what is P(ps0.12)?
P(ps0.12) = (Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91e372cb-e18f-47dd-a904-4f86460a4ddf%2F66239a7d-7013-4951-a448-6f67d13c466f%2F4bw3up_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p= 0.2.
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.
A. Approximately normal because n<0.05N and np(1 - p) < 10.
B. Not normal because n<0.05N and np(1 - p)< 10.
C. Approximately normal because n<0.05N and np(1 - p) 2 10.
D. Not normal because n s0.05N and np(1 – p) > 10.
Determine the mean of the sampling distribution of p.
HA = 0.2 (Round to one decimal place as needed.)
p
Determine the standard deviation of the sampling distribution of p.
On = 0.035777 (Round to six decimal places as needed.)
(b) What is the probability of obtaining x = 30 or more individuals with the characteristic? That is, what is P(p20.24)?
P(p20.24) = 0.1318 (Round to four decimal places as needed.)
(c) What is the probability of obtaining x= 15 or fewer individuals with the characteristic? That is, what is P(ps0.12)?
P(ps0.12) = (Round to four decimal places as needed.)
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