b) The University of North Carolina is conducting a study on the average weight of the many bricks thatmake up the University’s walkways. Workers are sent to dig up and weigh a sample of 421 bricks and theaverage brick weight of this sample was 14.2 lb. It is a well-known fact that the standard deviation ofbrick weight is 0.8 lb. (a) Find the standard error of the mean. (b) What is the interval around the samplemean that will include the population mean 95 percent of the time? Please use the table provided do notuse any other table for values of z. b) The University of North Carolina is conducting a study on the average weight of the many bricks thatmake up the University's walkways. Workers are sent to dig up and weigh a sample of 421 bricks and theaverage brick weight of this sample was 14.2 lb. It is a well-known fact that the standard deviation ofbrick weight is 0.8 lb. (a) Find the standard error of the mean. (b) What is the interval around the samplemean that will include the population mean 95 percent of the time? Please use the table provided do notuse any other table for values of z.0.030.040.070.02790.080.000.010.020.050.060.090.00.10.20.00800.03590.01990.05960.00000.00400.0120 0.01600.02390.03190.05170.09100.06750.10640.03980.04380.04780.05570.06360.07140.07530.07930.11790.15540.08320.08710.09480.11030.14800.18440.09870.11410.12170.15910.13680.17360.10260.14060.17720.15170.18790.30.12550.16280.12930.13310.14430.40.16640.17000.18080.50.19150.19500.19850.20190.20540.20880.21230.21570.21900.22240.6070.22570.22910.23240.23570.23890.24220.24540.24860.25170.25490.25800 26110.26420 2673027040.27340 27640.27940.28230.28520.29390.32120.34610.36860.38880.80.28810.29100.30230.2967 0.29950.3238 0.32640.3485 0.35080.37080.30510.30780.31060.33650.35990.38100.39970.31330.90.31590.31860.32890.33150.33400.33890.34380.36650.38690.36210.38300.40151.0 0.34130.35310.35540.35770.37900.39801.11.21.31.41.51.61.71.81.90.36430.38490.37290.37490.39440.37700.39620.39070.39250.40320.41920.43320.40490.42070.43450.44630.40820.42360.43700.44840.45820.40990.42510.43820.44950.45910.41150.42650.43940.45050.45990.41310.42790.41470.42920.44180.41620.43060.41770.43190.44410.45450.46330.47060.40660.42220.43570.44060.44290.44520.45540.45150.46080.45250.46160.46930.47560.48080.45350.46250.44740.45640.45730.46560.47260.47830.48300.46410.46490.46640.46710.46780.46860.46990.47130.47320.47440.47190.47780.47380.47930.48380.48750.49040.47500.47610.47672.00.47720.47880.47980.48030.48120.48172.10.48210.48260.48340.48420.48460.48570.48500.48840.48542.20.48510.48640.48680.48710.48780.48810.48870.48900.49160.49360.49522.30.48930.48960.48980.49220.49010.49060.49090.49110.49130.49320.49492,40.49180.49200.49250.49270.49290.49310.49342.50.49380.49400.49410.49430.49450.49460.49480.49512.60.49530.49550.49560.49570.49590.49600.49610.49620.49630.49640.49720.49730.49800.49742.72.80.49550.49660.49670.49680.49690.49700.49710.49740.49750.49760.49770.49770.49780.49790.49790.49810.49820.49872.90.49810.49820.49870.49830.49880.49840.49840.49850.49850.49890.49860.49860.49903.00.49870.49880.49890.49890.4990

Name: b) The University of North Carolina is conducting a study on the avera
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Description: b) The University of North Carolina is conducting a study on the average weight of the many bricks thatmake up the University’s walkways. Workers are sent to dig up and weigh a sample of 421 bricks and theaverage brick weight of this sample was 14.2

Given: Sample size(n)=421 Sample mean(X¯)=14.2 Standard deviation(s)=0.8

Answered: b) The University of North Carolina is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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