A music fan claims that R&B songs tend to have a more positive tone on average than do Rap songs.  The individual collected two independent random samples from the population of Spotify Songs.  Fifteen R&B songs and another fifteen Rap songs were collected and their Valence was recorded.  The music fan believed that pairing the song by their Danceability may provide additional information.  Danceability describes how suitable a track is for dancing based on a combination of musical elements including tempo, rhythm stability, beat strength, and overall regularity. A value of 0.0 is least danceable and 1 is most danceable.  Thus, the individual paired the R&B song with the lowest danceability with the Rap song with the lowest danceability, followed by the second and second, third and third.  She continued this process until the R&B song with the highest danceability was paired with the Rap song with the highest danceability, We will continue to subtract (R&B – Rap) and use the 10% significance level.  Again, assume the Central Limit Theorem conditions hold.  The data set is called RBRapSample32.  The data set includes columns for each genre’s valence and danceability.  Again, assume the Central Limit Theorem conditions hold.   What specific method of pairing was used in this problem and why do you think this pairing method was chosen? Answer this question using one complete sentence.   2.Define the population parameter for this investigation in context and symbols in one sentence.   3 . State the null and alternative hypothesis to test the claim that a difference exists in the mean Valence between R&B and Rap songs using correct notation Please consider the new data design.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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A music fan claims that R&B songs tend to have a more positive tone on average than do Rap songs.  The individual collected two independent random samples from the population of Spotify Songs.  Fifteen R&B songs and another fifteen Rap songs were collected and their Valence was recorded.  The music fan believed that pairing the song by their Danceability may provide additional information.  Danceability describes how suitable a track is for dancing based on a combination of musical elements including tempo, rhythm stability, beat strength, and overall regularity. A value of 0.0 is least danceable and 1 is most danceable.  Thus, the individual paired the R&B song with the lowest danceability with the Rap song with the lowest danceability, followed by the second and second, third and third.  She continued this process until the R&B song with the highest danceability was paired with the Rap song with the highest danceability, We will continue to subtract (R&B – Rap) and use the 10% significance level.  Again, assume the Central Limit Theorem conditions hold. 

The data set is called RBRapSample32.  The data set includes columns for each genre’s valence and danceability.  Again, assume the Central Limit Theorem conditions hold.

 

  1. What specific method of pairing was used in this problem and why do you think this pairing method was chosen? Answer this question using one complete sentence.

 

2.Define the population parameter for this investigation in context and symbols in one sentence.

 

3 . State the null and alternative hypothesis to test the claim that a difference exists in the mean Valence between R&B and Rap songs using correct notation Please consider the new data design.

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