The population data are separately given for each student as in the table below. To see the effect of sample size (from 1 to 30) on the sampling distribution, please, first, randomly construct the sampling distribution for each sample size. For this construction, it is recommended to use a program (such as Matlab). Then, for each sampling distribution, calculate the mean and variance in order to compare with the mean and variance of the population distribution. At the end, please, prepare a report about the effect of sample size (from 1 to 30) on the sampling distribution by using figures.

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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The population data are separately given for each student as in the table
below. To see the effect of sample size (from 1 to 30) on the sampling
distribution, please, first, randomly construct the sampling distribution
for each sample size. For this construction, it is recommended to use a
program (such as Matlab). Then, for each sampling distribution,
() calculate the mean and variance in order to compare with the mean and
variance of the population distribution. At the end, please, prepare a
report about the effect of sample size (from 1 to 30) on the sampling
distribution by using figures.
Transcribed Image Text:The population data are separately given for each student as in the table below. To see the effect of sample size (from 1 to 30) on the sampling distribution, please, first, randomly construct the sampling distribution for each sample size. For this construction, it is recommended to use a program (such as Matlab). Then, for each sampling distribution, () calculate the mean and variance in order to compare with the mean and variance of the population distribution. At the end, please, prepare a report about the effect of sample size (from 1 to 30) on the sampling distribution by using figures.
0,36703622 0,083820107 0,407811207 0,623723315 0,122541081 0,664811927
0,808628649 0,831596406 0,584586786 0,781170812 0,705272944 0,681978669
0,912648857 0,183692384 0,879385531 0,898161894 0,704902306 0,363847071
0,682949038 0,178318563 0,914322802 0,22139028 0,584959799 0,025899218
0,759413757 0,290838373 0,344625872 0,146728159 0,434259845 0,825635747
0,877437676 0,4121087 0,264382427 0,685754176 0,660046626 0,756373998
0,384730741 0,024426668 0,933247597 0,459935254 0,860564122 0,843750438
0,837812653 0,368538935 0,365608146 0,598692138 0,645100451 0,286170915
0,100633319 0,020493073 0,144519054 0,323566736 0,032879142 0,7126614
0,431015912 0,39325928 0,089865637 0,80678593 0,901769572 0,800217984
0,114374705 0,165539935 0,77269107 0,368828581 0,86794168 0,611204236
0,240452875 0,796184467 0,532539127 0,197091594 0,841097566 0,216167751
0,5847364 0,239675145 0,878289601 0,619612568 0,140479471 0,227472005
0,763691489 0,847116022 0,538683451 0,873189121 0,922359841 0,291103743
0,485815964 0,382886597 0,923060351 0,91387604 0,713451685 0,340681564
0,329327118 0,767346548 0,772622881 0,341967221 0,325087601 0,394353787
0,54421423 0,682233395 0,804229253 0,454378797 2,421196534 0,371857433
0,875098508 1,021057012 0,619550335 0,338184159 0,683179917 1,571884551
1,026729685 0,591665419 1,370706086 1,053699246 1,512267476 1,240229648
0,71443175 0,939191563 1,271251823 0,659018473 0,428495901 1,349718936
0,522038932 0,55918501 0,981591816 0,187062815 1,718375867 0,689610544
1,191933503 0,580318667 0,330186751 0,884516804 0,483936346 0,295392129
0,63092201 2,477658446 0,37584744 0,428355737 0,437121059 1,13697221
1,373810178 0,694163441 0,338601675 0,291954421 2,238518937 0,283135996
0,323399296 0,425145545 0,665178714 1,067177232 0,504847145 1,16451887
0,895035507 0,488398083 0,2554066 0,866292414 0,77941821 1,082718566
0,428597469 1,152256344 1,877240132 0,882372417 1,992086865 0,854710099
2,117402459 0,266036504 0,91243438 0,579854938 1,015080526 0,315305921
0,311014909 0,544814142 0,327767061 0,723510655 0,513791839 0,909560467
0,4772203 0,40418277 0,604362619 0,883781655 1,637588509 0,648991627
0,551750127 0,906466141 0,591294142 0,283921341 0,469263791 1,159600849
0,1631744 0,824793124 1,494246925 1,250664381 0,98279834 1,207382735
0,507344888 0,612764137 0,888498034 0,549750492 1,586965382 0,504461532
0,618923392 1,379431639
Transcribed Image Text:0,36703622 0,083820107 0,407811207 0,623723315 0,122541081 0,664811927 0,808628649 0,831596406 0,584586786 0,781170812 0,705272944 0,681978669 0,912648857 0,183692384 0,879385531 0,898161894 0,704902306 0,363847071 0,682949038 0,178318563 0,914322802 0,22139028 0,584959799 0,025899218 0,759413757 0,290838373 0,344625872 0,146728159 0,434259845 0,825635747 0,877437676 0,4121087 0,264382427 0,685754176 0,660046626 0,756373998 0,384730741 0,024426668 0,933247597 0,459935254 0,860564122 0,843750438 0,837812653 0,368538935 0,365608146 0,598692138 0,645100451 0,286170915 0,100633319 0,020493073 0,144519054 0,323566736 0,032879142 0,7126614 0,431015912 0,39325928 0,089865637 0,80678593 0,901769572 0,800217984 0,114374705 0,165539935 0,77269107 0,368828581 0,86794168 0,611204236 0,240452875 0,796184467 0,532539127 0,197091594 0,841097566 0,216167751 0,5847364 0,239675145 0,878289601 0,619612568 0,140479471 0,227472005 0,763691489 0,847116022 0,538683451 0,873189121 0,922359841 0,291103743 0,485815964 0,382886597 0,923060351 0,91387604 0,713451685 0,340681564 0,329327118 0,767346548 0,772622881 0,341967221 0,325087601 0,394353787 0,54421423 0,682233395 0,804229253 0,454378797 2,421196534 0,371857433 0,875098508 1,021057012 0,619550335 0,338184159 0,683179917 1,571884551 1,026729685 0,591665419 1,370706086 1,053699246 1,512267476 1,240229648 0,71443175 0,939191563 1,271251823 0,659018473 0,428495901 1,349718936 0,522038932 0,55918501 0,981591816 0,187062815 1,718375867 0,689610544 1,191933503 0,580318667 0,330186751 0,884516804 0,483936346 0,295392129 0,63092201 2,477658446 0,37584744 0,428355737 0,437121059 1,13697221 1,373810178 0,694163441 0,338601675 0,291954421 2,238518937 0,283135996 0,323399296 0,425145545 0,665178714 1,067177232 0,504847145 1,16451887 0,895035507 0,488398083 0,2554066 0,866292414 0,77941821 1,082718566 0,428597469 1,152256344 1,877240132 0,882372417 1,992086865 0,854710099 2,117402459 0,266036504 0,91243438 0,579854938 1,015080526 0,315305921 0,311014909 0,544814142 0,327767061 0,723510655 0,513791839 0,909560467 0,4772203 0,40418277 0,604362619 0,883781655 1,637588509 0,648991627 0,551750127 0,906466141 0,591294142 0,283921341 0,469263791 1,159600849 0,1631744 0,824793124 1,494246925 1,250664381 0,98279834 1,207382735 0,507344888 0,612764137 0,888498034 0,549750492 1,586965382 0,504461532 0,618923392 1,379431639
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