Suppose a simple random sample of size n= 12 is obtained from a population with p= 68 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x <71.9). (c) Assuming the normal model can be used, determine P(x2 69.9). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? O A. The population must be normally distributed. O B. There are no requirements on the shape of the distribution of the population. OC. Since the sample size is large enough, the population distribution does not need to be normal. O D. The population must be normally distributed and the sample size must be large. Assuming the normal model can be used, describe the sampling distribution x. O A. Normal, with u; = 68 and o: = 19 19 O B. Normal, with = 68 and o: = V12 12 Oc. Normal, with H, = 68 and o: = V19 (b) P(x<71.9) = (Round to four decimal places as needed.) (c) P(x2 69.9) = (Round to four decimal places as needed.)
Suppose a simple random sample of size n= 12 is obtained from a population with p= 68 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x <71.9). (c) Assuming the normal model can be used, determine P(x2 69.9). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? O A. The population must be normally distributed. O B. There are no requirements on the shape of the distribution of the population. OC. Since the sample size is large enough, the population distribution does not need to be normal. O D. The population must be normally distributed and the sample size must be large. Assuming the normal model can be used, describe the sampling distribution x. O A. Normal, with u; = 68 and o: = 19 19 O B. Normal, with = 68 and o: = V12 12 Oc. Normal, with H, = 68 and o: = V19 (b) P(x<71.9) = (Round to four decimal places as needed.) (c) P(x2 69.9) = (Round to four decimal places as needed.)
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
Transcribed Image Text:Page 1
Aea
Page 2
Area
Standard Nomal 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
0.5000
0.5398
0.5793
0.5080
0.5478
0.5871
0.5199
0.5596
0.5987
0.5319
0.5714
0.6103
0.0
0.5040
0.5438
0.5832
0.6217
0.6591
0.5120
0.5517
0.5910
0.6293
0.6664
0.5160
0.5557
0.5948
0.5239
0.5636
0.6026
0.6406
0.6772
0.5279
0.5675
0.6064
0.5359
-3.4
-3.3
-3.2
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
0.0005
0.0002
0.0003
0.0005
0.0007
0.0010
0.0003
0.0004
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0005
0.0007
0.0010
0.5753
0.6141
0.6517
0.6879
0.1
0.2
0.0006
0.0006
0.3
0.4
0.6179
0.6554
0.6255
0.6628
0.6331
0.6700
0.6368
0.6736
0.6443
0.6808
0.6480
0.6844
-3.1
0.0010
0.0013
0.0009
0.0013
0.0009
0.0009
0.0008
0.0008
0.0008
0.0008
-3.0
0,0013
0.0012
0.0012
0.0011
0.0011
0.0011
0.7054
0.7389
0.7704
0.7995
0.8264
0.7088
0.7422
0.7734
0.8023
0.8289
0.7224
0.7549
0.7852
0.5
0,0018
0.0024
0.0033
0.0044
0.0059
0.0017
0.0023
0.0032
0.0043
0.0057
0.0016
0.0023
0.0031
0.0016
0.0022
0.0030
0.0040
0.0054
0.0014
0.0020
0.0027
0.0037
0.0049
0.6915
0.7257
0.7580
0.7881
0.8159
0.6950
0.7291
0.7611
0.7910
0.6985
0.7324
0.7642
0.7939
0.8212
0.7019
0.7357
0.7673
0.7967
0.8238
0.7123
0.7454
0.7764
0.8051
0.8315
0.7157
0.7486
0.7794
0.7190
0.7517
0.7823
0.0015
-29
-28
-2.7
0.0019
0.0026
0.0015
0.0021
0.0028
0.0014
0.0019
0.0026
0.0018
0.6
0.0025
0.0034
0.0021
0.7
0.0035
0.0029
0.8078
0.8340
0.8133
0.8389
0.8
0.8106
-2.6
-2.5
0.0047
0,0062
0.0045
0.0041
0,0055
0.0039
0.0038
0.0051
0.0036
0.0048
0.9
0.8186
0.8365
0.0060
0.0052
-2.4
-2.3
-22
0.0082
0.0107
0.0139
0.0179
0.0228
0.0078
0.0102
0.0132
00170
0.0217
0.0075
0.0099
0.0129
0.0166
0.0212
0.0073
0.0096
0.0125
0.0162
0.0069
0.0091
0.0119
0.0154
0.0197
0.0068
0.0089
0.0116
0.0066
0.0087
0.0113
0.0146
0.0188
1.0
1.1
1.2
0.8413
0.8643
0.8849
0,9032
0.9192
0.8438
0.8665
0.8869
0.8461
0.8686
0.8888
0.9066
0.9222
0.8485
0.8708
0.8907
0,0082
0.9236
0.8508
0.8729
0.8925
0.8531
0.8749
0.8944
0.9115
0.9265
0.8554
0.8770
0.8962
09131
0.9279
0.8577
0.8790
0.8980
0.9147
0.9292
0.8599
0.8810
0.8997
0.8621
0.8830
0.90 15
0,9177
0.9319
0.0080
0.0104
0.0136
0.0071
0,0094
0.0122
0.0158
0.0202
0.0064
0.0084
0.0110
00143
0.0183
0.9099
0.9251
1.3
0,9049
0,9162
-2.1
0.0174
0.0150
1.4
0.9207
0.9306
-2.0
0,0222
0.0207
0.0192
0.9382
0.9495
0.9591
0.9671
0.9738
0.9418
0.9525
0.9616
0.9429
0.9535
0.9625
0.9699
0.9761
0.9441
0.9545
0.9633
1.5
0.9332
0,9452
0.0250
0.0314
0.0392
0.0485
0.0594
0.9345
0.9463
0.9564
0.9649
0.9719
0.9357
0,9474
0.9573
0.9656
0.9726
0.9370
0,9484
0.9582
0.9664
0.9732
0.9394
0.9505
0.9599
0.9406
0.9515
0.9608
-1.9
-1.8
0.0287
0.0359
0.0446
0.0548
0.0668
0.0281
0.0351
0.0436
0.0537
0.0655
0.0274
0.0344
0.0268
0.0336
0.0418
0.0516
0.0630
0.0262
0.0329
0.0409
0.0505
0.0618
0.0256
0.0322
0.0244
0.0307
0.0384
0.0475
0.0582
0.0239
0.0301
0.0375
0.0465
0.0571
0.0233
0.0204
0.0367
0.0455
0.0559
1.6
0.9554
0.9641
0.9713
1.7
0.0427
0.0526
0.0643
0.0401
0.0495
0.0606
-1.7
0.9678
0.9744
0.9686
0.9750
0.9693
0.9756
0.9706
0.9767
1.8
-1.6
-1.5
1.9
0.0735
0.0885
0.1056
0.1251
2.0
2.1
2.2
0.9772
0.9821
0.9861
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
0.9793
0.9838
0.9875
0.9798
0.9842
0.9878
0.9803
0.9846
0.9881
0.9909
0.9931
0.9808
0.9850
0.9884
0.9911
0.9932
0.9812
0.9854
0,9887
0.9817
0.9857
0,9890
0.9916
0,9936
-14
0.0808
0.0968
0.1151
0.1357
0.1587
0.0793
0.0951
0.1131
0.1335
0.1562
0.0778
0.0934
0.1112
0.1314
0.1539
0.0764
0.0918
0.1093
0.1292
0.1515
0.0749
0.0901
0.1075
0.1271
0.1492
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
0.1190
0.1401
0.0681
0.0823
0.0985
0.1170
0.1379
-13
-1.2
0.9904
0.9927
0.9906
0.9929
0.9913
0,9934
23
-1.1
-10
0.9893
0.9918
0.9901
0.9925
2.4
0.1469
2.5
2.6
2.7
2.8
2.9
0,9938
0,9040
0 9055
0.9941
,9056
0.9967
0.9976
0.9982
0.9943
0.9957
0.9968
0.9977
0.9983
0.9945
0.9050
0.9946
0,9060
0.9970
0.9978
0.9984
0.9948
0.9961
0.9971
0.9979
0.9985
0.9949
0.9951
0.9963
0,9952
0.1788
0.2061
0,2358
0.2676
0.3015
0.3372
0.3745
0.4129
0.4522
0.4920
0.1841
0.2119
0.2420
0,2743
0.3085
0.1762
0.2033
0.2327
0,2643
0,2981
0.1736
0.2005
0.2296
0.2611
0.2946
0.1711
0.1977
0,2266
0.1685
0.1949
0.2236
0.1635
0.1894
0.2177
0.9964
0.9974
0,9981
0.9986
0.1660
0.1922
0.1611
0.1867
0.2148
0,2451
0.2776
-0.9
0.1814
0.2090
0.2389
0,2709
0.3050
0.9953
0.9965
0.9962
0.9972
0.9979
0.9985
-08
0.9966
0.9969
0.9977
0.9984
0.9973
-0.7
02206
0.9974
0.9981
0.9975
0.9982
0.9980
-0,6
02514
0,2578
0.2912
0.2546
0.2483
0.2810
0.9986
-0,5
0.2877
0.2843
0.3264
0.3632
0.4013
0.4404
0.4801
0.3192
0.3557
0.3936
0.4325
0.4721
3.0
3.1
3.2
33
3.4
0.9987
0.9990
0,9993
0.9987
0.9991
0.9993
0.9995
0.9997
0.9987
0.9991
0.9994
0.9995
0.9997
0.9988
0.9991
0.9994
0.9996
0.9997
0.9988
0.9902
0.9994
0.9996
0.9997
0.9989
0.9992
0.9904
0.9996
0.9997
0,9989
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9995
0.9990
0.9993
0,9995
0.9990
0.9993
0.9995
0.9997
0.9998
-04
-0.3
-0.2
-0.1
-0.0
0.3446
0.3821
0.4207
0.4602
0.5000
0.3409
0.3783
0.4168
0.3336
0.3707
0.4090
0.4483
0.4880
0.3300
0.3669
0.4052
0.4443
0.4840
0.3228
0.3594
0.3974
0.4364
04761
0.3156
0.3520
0.3897
0.3121
0.3483
0.3859
0.4562
0.4960
0.4247
0.4641
0.9995
0.9997
0.9996
0.9997
0.9996
0,9997
0.4286
0.4681
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
Transcribed Image Text:Suppose a simple random sample of size n= 12 is obtained from a population with u = 68 and o = 19.
(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x.
(b) Assuming the normal model can be used, determine P(x< 71.9).
(c) Assuming the normal model can be used, determine P(x2 69.9).
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) What must be true regarding the distribution of the population?
O A. The population must be normally distributed.
B. There are no requirements on the shape of the distribution of the population.
C. Since the sample size is large enough, the population distribution does not
need to be normal.
D. The population must be normally distributed and the sample size must be large.
Assuming the normal model can be used, describe the sampling distribution x.
Normal, with
= 68 and o, = 19
A.
19
= 68 and o- =
V12
B. Normal, with
12
= 68 and o- =
V19
O c. Normal, with
(b) P(x<71.9) =
(Round to four decimal places as needed.)
(c) P(x2 69.9) =
(Round to four decimal places as needed.)
%3D
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