Suppose a simple random sample of size n = 10 is obtained from a population with u = 65 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? Assun the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x < 68.9). (c) Assuming the normal model can be used, determine P(x 2 67.3). 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. There are no requirements on the shape of the distribution of the population. O B. Since the sample size is large enough, the population distribution does not need to be normal. O C. The population must be normally distributed and the sample size must be large. D. The population must be normally distributed. Assuming the normal model can be used, describe the sampling distribution x. Normal, with = 65 and = 19 19 B. Normal, with = 65 and V10 10 O c. Normal, with = 65 and %3D V19 (b) P(x < 68.9) = (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
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Question
8:21
AA
A mathxl.com
Score: 1 of 4 pts
8 of 9 (9 complete)
HW Score: 40.56%, 12.17 of 3
% 8.1.17
Question Help
Suppose a simple random sample of size n = 10 is obtained from a population with u = 65 and o = 19.
(a) What must be true regarding the distribution of the population in order to
the normal model to compute
bilities regarding the sample mean? Assum
the normal model can be used, describe the sampling distribution x.
(b) Assuming the normal model can be used, determine P(x < 68.9).
(c) Assuming the normal model can be used, determine P(x2 67.3).
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. There are no requirements on the shape of the distribution of the population.
O B. Since the sample size is large enough, the population distribution does not
need to be normal.
O C. The population must be normally distributed and the sample size must be large.
Y D.
The population must be normally distributed.
Assuming the normal model can be used, describe the sampling distribution x.
XA. Normal, with
= 19
= 65 and
19
= 65 and o, =
V10
B. Normal, with
10
O C. Normal, with u: = 65 and o: =
V19
(b) P(x < 68.9) =
(Round to four decimal places as needed.)
Standard Normal Distribution Table (page 2)
Ara
Standard Normal Distribution
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.5160
0.5557
0.5948
0,6331
0.6700
0,5000
0.5398
0,5040
0.5438
0.5832
0.6217
0,6591
0.5120
0.5517
0.5910
0.6293
0.5239
0,5359
0,5753
0.6141
0.6517
0.6879
0.0
0.5080
0.5478
0.5871
0,6255
0,6628
0.5199
0.5596
0.5987
0.6368
0,6736
0.5279
0.5675
0.6064
0,6443
0,6808
0.5319
0.5714
0.6103
0.1
0.5636
0.6026
0,6406
0,6772
0.2
0.5793
0.6179
0,6554
0.6480
0,6844
0.3
0.4
0,6664
0.5
0.6
0.7
0.6915
0.7257
0.7580
0.7881
0.6950
0.7291
0.7611
0.7910
0.8186
0.6985
0.7324
0.7642
0.7019
0.7357
0.7673
0.7967
0.8238
0.7054
0.7389
0.7704
0.7995
0.8264
0.7088
0.7422
0.7734
0.8023
0.8289
0.7123
0,7454
0.7764
0.8051
0.8315
0.7157
0.7486
0.7794
0.8078
0.8340
0.7190
0.7517
0.7823
0.8106
0.8365
0.7224
0.7549
0.7852
0.8133
0.8389
0.8
0.9
0.7939
0.8212
0.8159
0.8413
0.8643
0.8849
0.9032
0.9192
0,8461
0,.8686
0.8888
0.9066
0.9222
0.8531
0.8749
0,8944
0.9115
0.9265
1.0
0.8438
0.8665
0.8869
0.9049
0.9207
0.8485
0.8708
0,8907
0.9082
0.9236
0.8508
0.8729
0.8925
0.8554
0,8770
0.8962
0.8577
0,8790
0,8980
0.8599
0.8810
0.8997
0.8621
0.8830
0.90 15
1.1
1.2
0.9099
0.9251
0.9131
0.9279
0.9147
0.9292
0.9162
0.9306
1.3
0.9177
1.4
0.9319
0.9332
0.9452
0,9554
0,9345
0.9463
0.9564
0.9382
0.9495
0,9591
0.9671
0.9738
0.9394
0.9505
0.9599
0.9678
0,9744
0.9406
0.9515
0.9608
0.9686
0.9750
0.9429
0.9535
0.9625
0.9699
0.9761
0.9418
0.9525
1.5
1.6
1.7
0.9357
0.9474
0.9573
0.9441
0.9545
0.9633
0.9706
0.9767
0.9370
0.9484
0.9582
0.9664
0.9732
0.9616
1.8
1.9
0.9641
0.9713
0.9649
0,9719
0.9656
0.9726
0.9693
0.9756
0.9788
0.9834
0.9793
0.9838
0.9875
0.9904
0.9927
0.9808
0.9850
0.9884
0.9911
0.9932
2.0
2.1
2.2
0.9772
0.9821
0.9861
0,9893
0.9918
0.9817
0,9857
0.9778
0.9826
0.9783
0.9830
0.9798
0.9842
0.9878
0,9803
0.9846
0.9812
0.9854
0.9887
0.9913
0.9934
0.9864
0.9868
0.9871
0,9881
0.9890
0.9916
0.9936
2.3
0.9896
0.9898
0.9901
0.9925
0,9906
0.9909
0.9931
2.4
0,9920
0.9922
0.9929
2.5
2.6
2.7
0.9938
0.9953
0.9965
0.9974
0.9981
0.9941
0.9956
0.9967
0.9943
0.9957
0.9968
0.9977
0.9983
0.9945
0.9959
0.9969
0.9977
0.9984
0.9946
0.9960
0.9970
0.9978
0.9984
0.9948
0.9961
0.9971
0.9979
0,9985
0.9952
0.9964
0.9974
0.9981
0.9986
0.9940
0.9955
0.9966
0.9975
0.9982
0.9949
0.9962
0.9972
0.9979
0.9985
0.9951
0.9963
0.9973
2.8
2.9
0.9976
0.9982
0,9980
0,9986
0.9987
0.9991
0.9993
0.9988
0.9991
0.9994
0.9996
0.9997
0.9989
0.9992
0,9994
0.9990
0.9993
0.9995
0.9990
0.9993
0.9995
3.0
0.9987
0.9900
0.9993
0.9995
0.9997
0.9989
3.1
3.2
0.9987
0.9991
0.9994
0.9988
0.9992
0.9994
0.9902
0.9994
0.9989
0.9992
0.9995
0.9996
0,9997
0.9996
0.9997
33
0,9995
0.9995
0,9996
0,9996
0.9996
0.9997
3.4
0.9997
0.9997
0.9997
0,9997
0.9997
0.9998
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:8:21 AA A mathxl.com Score: 1 of 4 pts 8 of 9 (9 complete) HW Score: 40.56%, 12.17 of 3 % 8.1.17 Question Help Suppose a simple random sample of size n = 10 is obtained from a population with u = 65 and o = 19. (a) What must be true regarding the distribution of the population in order to the normal model to compute bilities regarding the sample mean? Assum the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x < 68.9). (c) Assuming the normal model can be used, determine P(x2 67.3). 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. There are no requirements on the shape of the distribution of the population. O B. Since the sample size is large enough, the population distribution does not need to be normal. O C. The population must be normally distributed and the sample size must be large. Y D. The population must be normally distributed. Assuming the normal model can be used, describe the sampling distribution x. XA. Normal, with = 19 = 65 and 19 = 65 and o, = V10 B. Normal, with 10 O C. Normal, with u: = 65 and o: = V19 (b) P(x < 68.9) = (Round to four decimal places as needed.) Standard Normal Distribution Table (page 2) Ara Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.5160 0.5557 0.5948 0,6331 0.6700 0,5000 0.5398 0,5040 0.5438 0.5832 0.6217 0,6591 0.5120 0.5517 0.5910 0.6293 0.5239 0,5359 0,5753 0.6141 0.6517 0.6879 0.0 0.5080 0.5478 0.5871 0,6255 0,6628 0.5199 0.5596 0.5987 0.6368 0,6736 0.5279 0.5675 0.6064 0,6443 0,6808 0.5319 0.5714 0.6103 0.1 0.5636 0.6026 0,6406 0,6772 0.2 0.5793 0.6179 0,6554 0.6480 0,6844 0.3 0.4 0,6664 0.5 0.6 0.7 0.6915 0.7257 0.7580 0.7881 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0,7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.8133 0.8389 0.8 0.9 0.7939 0.8212 0.8159 0.8413 0.8643 0.8849 0.9032 0.9192 0,8461 0,.8686 0.8888 0.9066 0.9222 0.8531 0.8749 0,8944 0.9115 0.9265 1.0 0.8438 0.8665 0.8869 0.9049 0.9207 0.8485 0.8708 0,8907 0.9082 0.9236 0.8508 0.8729 0.8925 0.8554 0,8770 0.8962 0.8577 0,8790 0,8980 0.8599 0.8810 0.8997 0.8621 0.8830 0.90 15 1.1 1.2 0.9099 0.9251 0.9131 0.9279 0.9147 0.9292 0.9162 0.9306 1.3 0.9177 1.4 0.9319 0.9332 0.9452 0,9554 0,9345 0.9463 0.9564 0.9382 0.9495 0,9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9678 0,9744 0.9406 0.9515 0.9608 0.9686 0.9750 0.9429 0.9535 0.9625 0.9699 0.9761 0.9418 0.9525 1.5 1.6 1.7 0.9357 0.9474 0.9573 0.9441 0.9545 0.9633 0.9706 0.9767 0.9370 0.9484 0.9582 0.9664 0.9732 0.9616 1.8 1.9 0.9641 0.9713 0.9649 0,9719 0.9656 0.9726 0.9693 0.9756 0.9788 0.9834 0.9793 0.9838 0.9875 0.9904 0.9927 0.9808 0.9850 0.9884 0.9911 0.9932 2.0 2.1 2.2 0.9772 0.9821 0.9861 0,9893 0.9918 0.9817 0,9857 0.9778 0.9826 0.9783 0.9830 0.9798 0.9842 0.9878 0,9803 0.9846 0.9812 0.9854 0.9887 0.9913 0.9934 0.9864 0.9868 0.9871 0,9881 0.9890 0.9916 0.9936 2.3 0.9896 0.9898 0.9901 0.9925 0,9906 0.9909 0.9931 2.4 0,9920 0.9922 0.9929 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.9974 0.9981 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.9977 0.9983 0.9945 0.9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0,9985 0.9952 0.9964 0.9974 0.9981 0.9986 0.9940 0.9955 0.9966 0.9975 0.9982 0.9949 0.9962 0.9972 0.9979 0.9985 0.9951 0.9963 0.9973 2.8 2.9 0.9976 0.9982 0,9980 0,9986 0.9987 0.9991 0.9993 0.9988 0.9991 0.9994 0.9996 0.9997 0.9989 0.9992 0,9994 0.9990 0.9993 0.9995 0.9990 0.9993 0.9995 3.0 0.9987 0.9900 0.9993 0.9995 0.9997 0.9989 3.1 3.2 0.9987 0.9991 0.9994 0.9988 0.9992 0.9994 0.9902 0.9994 0.9989 0.9992 0.9995 0.9996 0,9997 0.9996 0.9997 33 0,9995 0.9995 0,9996 0,9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0,9997 0.9997 0.9998 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Enter your answer i Print Done 1 part remaining Clear All Check Answer
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