Answer the following questions referring to the MINITAB simulation of confidence intervals given in the photo below" In theory, how many of the intervals would you expect to contain the true population mean U ( = 10)? How many of the intervals actually contain the mean of the population? If this simulation were repeated would you always find that the same number of intervals contain U?
Answer the following questions referring to the MINITAB simulation of confidence intervals given in the photo below" In theory, how many of the intervals would you expect to contain the true population mean U ( = 10)? How many of the intervals actually contain the mean of the population? If this simulation were repeated would you always find that the same number of intervals contain U?
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 2: Answer the following questions referring to the MINITAB simulation of confidence intervals given in the photo below"
- In theory, how many of the intervals would you expect to contain the true population
mean U ( = 10)? - How many of the intervals actually contain the mean of the population?
- If this simulation were repeated would you always find that the same number of intervals contain U?
Transcribed Image Text:MTB
random 25 c1-c40;
The first two commands on the left select 40 random samples
each of size n = 25, from a Normal distribution with u = 10,
SUBC> norm 10 1.5.
and o= 1.5.
МТВ
zint 95 1.5 c1-c40
The third command forms the 95% Z-interval for each sample
Confidence Intervals
The assumed sigma
1.50
Variable
n
Mean
St Dev
SE Mean
95.0 % C.I.
10.698)
10.980)
9.522,
9.804,
9.502,
9.046,
8.830,
C1
10.110
1.091
0.300
C2
25
10.392
1.658
0.300
10.679)
10.222)
10.007)
25
10.091
1.323
0.300
25
9.634
1.373
0.300
25
9.418
1.700
0.300
25
10.936
1.562
0.300
10.348,
11.524) x
10.429
0.300
11.017)
10.377)
10.356)
25
1.200
9.841,
9.200,
9.180,
9.897,
9.616,
25
9.788
1.648
0.300
25
9.768
1.744
0.300
C10
25
10.485
1.597
0.300
11.074)
C11
25
10.204
0.964
0.300
10.792)
10.284,
9.408,
9.616,
9.337,
9.162,
9.748,
8.942,
0.300
11.460) x
10.584)
10.793)
C12
25
10.872
1.338
C13
25
9.996
1.451
0.300
C14
25
10.204
1.648
0.300
C15
25
9.925
1.677
0.300
10.513)
C16
25
9.750
1.633
0.300
10.339)
C17
25
10.337
1.418
0.300
10.925)
C18
25
9.530
1.336
0.300
10.118)
C19
25
9.331
1.304
0.300
8.743,
9.565,
9.202,
9.403,
9.325,
8.831,
9.443,
9.450,
9.592,
9.708,
9.259,
9.593,
9.320,
9.624,
9.492,
9.472,
9.428,
9.949,
9.491,
9.919) x
10.741)
10.378)
C20
25
10.153
1.733
0.300
C21
25
9.790
1.582
0.300
C22
25
9.991
1.300
0.300
10.579)
C23
25
9.913
1.221
0.300
10.501)
10.007)
C24
25
9.419
1.389
0.300
C25
25
10.031
1.498
0.300
10.619)
10.627)
10.769)
10.884)
C26
25
10.039
1.531
0.300
C27
25
10.180
1.711
0.300
C28
25
10.296
1.314
0.300
C29
25
9.847
1.463
0.300
10.435)
10.182
0.300
10.770)
10.497)
C30
25
1.371
C31
9.908
1.526
0.300
C32
25
10.212
1.694
0.300
10.800)
10.669)
10.648)
10.604)
11.125)
C33
25
10.080
1.291
0.300
C34
25
10.060
1.534
0.300
C35
25
10.016
1.644
0.300
C36
25
10.537
1.401
0.300
C37
25
10.079
1.641
0.300
10.667)
10.258
1.703
0.300
10.846)
9.670,
9.254,
9.820,
C38
10.430)
10.996)
C39
25
9.842
2.250
0.300
C40
25
10.408
1.284
0.300
E LO LO LO
LO LO LO LO
N N N N N N N N N N N
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