MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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b) The University of North Carolina is conducting a study on the average weight of the many bricks that
make up the University’s walkways. Workers are sent to dig up and weigh a sample of 421 bricks and the
average brick weight of this sample was 14.2 lb. It is a well-known fact that the standard deviation of
brick weight is 0.8 lb. (a) Find the standard error of the
mean that will include the population mean 95 percent of the time? Please use the table provided do not
use any other table for values of z.
Transcribed Image Text:b) The University of North Carolina is conducting a study on the average weight of the many bricks that
make up the University's walkways. Workers are sent to dig up and weigh a sample of 421 bricks and the
average brick weight of this sample was 14.2 lb. It is a well-known fact that the standard deviation of
brick weight is 0.8 lb. (a) Find the standard error of the mean. (b) What is the interval around the sample
mean that will include the population mean 95 percent of the time? Please use the table provided do not
use any other table for values of z.
0.03
0.04
0.07
0.0279
0.08
0.00
0.01
0.02
0.05
0.06
0.09
0.0
0.1
0.2
0.0080
0.0359
0.0199
0.0596
0.0000
0.0040
0.0120 0.0160
0.0239
0.0319
0.0517
0.0910
0.0675
0.1064
0.0398
0.0438
0.0478
0.0557
0.0636
0.0714
0.0753
0.0793
0.1179
0.1554
0.0832
0.0871
0.0948
0.1103
0.1480
0.1844
0.0987
0.1141
0.1217
0.1591
0.1368
0.1736
0.1026
0.1406
0.1772
0.1517
0.1879
0.3
0.1255
0.1628
0.1293
0.1331
0.1443
0.4
0.1664
0.1700
0.1808
0.5
0.1915
0.1950
0.1985
0.2019
0.2054
0.2088
0.2123
0.2157
0.2190
0.2224
0.6
07
0.2257
0.2291
0.2324
0.2357
0.2389
0.2422
0.2454
0.2486
0.2517
0.2549
0.2580
0 2611
0.2642
0 2673
02704
0.2734
0 2764
0.2794
0.2823
0.2852
0.2939
0.3212
0.3461
0.3686
0.3888
0.8
0.2881
0.2910
0.3023
0.2967 0.2995
0.3238 0.3264
0.3485 0.3508
0.3708
0.3051
0.3078
0.3106
0.3365
0.3599
0.3810
0.3997
0.3133
0.9
0.3159
0.3186
0.3289
0.3315
0.3340
0.3389
0.3438
0.3665
0.3869
0.3621
0.3830
0.4015
1.0 0.3413
0.3531
0.3554
0.3577
0.3790
0.3980
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
0.3643
0.3849
0.3729
0.3749
0.3944
0.3770
0.3962
0.3907
0.3925
0.4032
0.4192
0.4332
0.4049
0.4207
0.4345
0.4463
0.4082
0.4236
0.4370
0.4484
0.4582
0.4099
0.4251
0.4382
0.4495
0.4591
0.4115
0.4265
0.4394
0.4505
0.4599
0.4131
0.4279
0.4147
0.4292
0.4418
0.4162
0.4306
0.4177
0.4319
0.4441
0.4545
0.4633
0.4706
0.4066
0.4222
0.4357
0.4406
0.4429
0.4452
0.4554
0.4515
0.4608
0.4525
0.4616
0.4693
0.4756
0.4808
0.4535
0.4625
0.4474
0.4564
0.4573
0.4656
0.4726
0.4783
0.4830
0.4641
0.4649
0.4664
0.4671
0.4678
0.4686
0.4699
0.4713
0.4732
0.4744
0.4719
0.4778
0.4738
0.4793
0.4838
0.4875
0.4904
0.4750
0.4761
0.4767
2.0
0.4772
0.4788
0.4798
0.4803
0.4812
0.4817
2.1
0.4821
0.4826
0.4834
0.4842
0.4846
0.4857
0.4850
0.4884
0.4854
2.2
0.4851
0.4864
0.4868
0.4871
0.4878
0.4881
0.4887
0.4890
0.4916
0.4936
0.4952
2.3
0.4893
0.4896
0.4898
0.4922
0.4901
0.4906
0.4909
0.4911
0.4913
0.4932
0.4949
2,4
0.4918
0.4920
0.4925
0.4927
0.4929
0.4931
0.4934
2.5
0.4938
0.4940
0.4941
0.4943
0.4945
0.4946
0.4948
0.4951
2.6
0.4953
0.4955
0.4956
0.4957
0.4959
0.4960
0.4961
0.4962
0.4963
0.4964
0.4972
0.4973
0.4980
0.4974
2.7
2.8
0.4955
0.4966
0.4967
0.4968
0.4969
0.4970
0.4971
0.4974
0.4975
0.4976
0.4977
0.4977
0.4978
0.4979
0.4979
0.4981
0.4982
0.4987
2.9
0.4981
0.4982
0.4987
0.4983
0.4988
0.4984
0.4984
0.4985
0.4985
0.4989
0.4986
0.4986
0.4990
3.0
0.4987
0.4988
0.4989
0.4989
0.4990
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