The "Even More Music" worksheet in the data pack represents a sample of hit songs (released in the 1980's, 1990's, 2000ʻs, and 2010's) and their length (measured in minutes). Using a 5% significance level, conduct an appropriate hypothesis test to determine whether the average length of a song differs by decade. Calculate the test statistic for this hypothesis test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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The "Even More Music" worksheet in the data pack represents a sample of hit songs (released in the
1980's, 1990's, 2000s, and 2010's) and their length (measured in minutes).
Using a 5% significance level, conduct an appropriate hypothesis test to determine whether the average
length of a song differs by decade.
Calculate the test statistic for this hypothesis test.
Transcribed Image Text:The "Even More Music" worksheet in the data pack represents a sample of hit songs (released in the 1980's, 1990's, 2000s, and 2010's) and their length (measured in minutes). Using a 5% significance level, conduct an appropriate hypothesis test to determine whether the average length of a song differs by decade. Calculate the test statistic for this hypothesis test.
1980's
1990's
2000's
2010's
3.35
3.34
2.10
3.22
4.16
4.52
3.34
3.48
5.03
4.19
4.49
3.01
3.41
4.05
4.02
3.23
4.30
4.17
3.27
4.20
3.26
4.44
3.34
3.51
4.10
3.52
4.41
2.38
6.31
5.14
3.57
4.13
3.54
3.47
3.28
3.28
2.54
3.57
3.51
3.25
5.53
4.56
3.49
3.11
4.44
3.32
4.17
3.16
3.14
3.52
3.16
3.11
3.32
5.46
3.53
3.54
3.32
4.50
5.10
3.41
3.41
4.10
3.37
4.05
4.38
4.02
3.46
4.02
3.52
4.17
3.40
3.33
3.57
3.34
3.47
3.15
4.25
4.42
4.28
4.32
4.37
4.32
5.06
3.47
3.49
3.40
3.50
3.13
4.22
3.44
5.08
4.15
Transcribed Image Text:1980's 1990's 2000's 2010's 3.35 3.34 2.10 3.22 4.16 4.52 3.34 3.48 5.03 4.19 4.49 3.01 3.41 4.05 4.02 3.23 4.30 4.17 3.27 4.20 3.26 4.44 3.34 3.51 4.10 3.52 4.41 2.38 6.31 5.14 3.57 4.13 3.54 3.47 3.28 3.28 2.54 3.57 3.51 3.25 5.53 4.56 3.49 3.11 4.44 3.32 4.17 3.16 3.14 3.52 3.16 3.11 3.32 5.46 3.53 3.54 3.32 4.50 5.10 3.41 3.41 4.10 3.37 4.05 4.38 4.02 3.46 4.02 3.52 4.17 3.40 3.33 3.57 3.34 3.47 3.15 4.25 4.42 4.28 4.32 4.37 4.32 5.06 3.47 3.49 3.40 3.50 3.13 4.22 3.44 5.08 4.15
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