U2 is a famous band with studi
U2 is a famous band with studio albums that span the 1980’s,1990’s, and 2000’s. Suppose you have a friend who hasnot heard of this band but wants to become familiar with theirmusic. Here is a summary of their studio album recordings:
YearReleased AlbumName Numberof Songs
1980 Boy 11
1981 October 11
1983 War 10
1984 UnforgettableFire 10
1987 TheJoshuaTree 11
1988 RattleandHum 17
1991 AchtungBaby 12
1993 Zooropa 10
1997 Pop 12
2000 AllThat You Can’t LeaveBehind 11
2004 Howto Dismantle an AtomicBomb 11
2009 NoLine on theHorizon 11
2014 SongsofInnocence 11
TOTAL 148
Suppose your friend does not have time to listen to every trackon their albums, and instead wants to take a sample of their songsto listen to in order to familiarize himself with the music.
Your friend decides he has time to listen to about 40 songs(give or take a few as needed) and wants those songs to berepresentative of the group’s music.
- Suppose your friend created an online poll and asked people toname their favorite U2 song, and he listened to the 40 songs thatgot the most votes. What do you think of this approachin this situation? Explain.
- Explain briefly how your friend could choose a simple randomsample of 40 songs from U2.
- Suppose your friend is concerned with the possibility of thesimple random sample choosing too many songs from one era of theband (and therefore not giving a good representation of their musicoverall). What sampling approach would yourecommend for him now? Explain briefly.
- Suppose your friend believes strongly that you have to listento an entire album to really get the sense of the band’s music,because “each album is like its own story”. Whatsampling method would you suggest to your friendnow? Explain a few specifics of how your friendcould conduct this approach.
- Which approach in parts (a) through (d) would you recommendoverall? Explain your choice.
Answer:
a. Suppose your friend created an online poll andasked people to name their favorite U2 song, and he listened to the40 songs that got the most votes. What do you think ofthis approach in this situation? Explain.
This would be considered as biasedsample as human bias is observed in this approach. Those who votein this poll would vote basis their choices and a certain song oralbum may be exaggerated in terms of good music or bad music. Hencethis would not be a better approach to become familiar with their music.
a. Explain briefly how your friend could choose asimple random sample of 40 songs from U2.
All the songs could be collected inone library and assign an identity to each song. Post that a simplerandom sampling tool can be used to choose a song. In excel all thesong identity could be placed in excel column and than randfunction can be use to choose a sample
a. Suppose your friend is concerned with thepossibility of the simple random sample choosing too many songsfrom one era of the band (and therefore not giving a goodrepresentation of their music overall). Whatsampling approach would you recommend for himnow? Explain briefly.
We would suggest stratifiedsampling method to him as it will first categories all the songs indifferent ERAs which will be considered in stratas and then simplerandom sample could be chosen from those stratas.
a. Suppose your friend believes strongly that youhave to listen to an entire album to really get the sense of theband’s music, because “each album is like its ownstory”. What sampling method would you suggest to yourfriend now? Explain a few specifics of how yourfriend could conduct this approach.
I would suggest the fried to useconvenient sampling in this case as it would be convenient tochoose any sample considering the time contraints inmind
a. Which approach in parts (a)through (d) would you recommend overall? Explain yourchoice.
We would suggest stratifiedsampling method to him as all the samples would be representativeof all strata groups and randomness in sample would give requiredvariance to the sample and would be true representative ofpopulation
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