A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. T earnings (in millions of dollars) for several randomly selected people from each category are shown in th table below. It has been confirmed that the population variance for each group is equal and that earning follow a normal distribution for top-pain actors, athletes and musicians. Use a 5% significance to test the claim. Job Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Earnings 31 34 33 26 21 33 30 36 27 27 34 37 36 23 30 39 46 41 36 50 30 44 43 44 46 54 65 30 39 52 37 41 45 60 60 31 49 45 45 What is the factor variable? Top-Paid Job Type V What is the response variable? Earnings Test Statistic: 15.2043 X 0° P-Value: 0.0000 Decision Rule: Reject the Null Did Something Significant Happen? |Significance Happened There is oto conclude At least one true average earning is different between Top-Paid actors, athletes and musicians.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.2: Box-and-whisker Plots
Problem 1E
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Related questions
Question
A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The
earnings (in millions of dollars) for several randomly selected people from each category are shown in the
table below. It has been confirmed that the population variance for each group is equal and that earnings
follow a normal distribution for top-pain actors, athletes and musicians. Use a 5% significance to test the
claim.
Job
Actor
Actor
Actor
Actor
Actor
Actor
Actor
Actor
Actor
Actor
Actor
Actor
Actor
Actor
Athlete
Athlete
Athlete
Athlete
Athlete
Athlete
Athlete
Athlete
Athlete
Athlete
Musician
Musician
Musician
Musician
Musician
Musician
Musician
Musician
Musician
Musician
Musician
Musician
Musician
Musician
Musician
Earnings
31
34
33
26
21
33
30
36
27
27
34
37
36
23
30
39
46
41
36
50
30
44
43
44
46
54
65
30
39
52
37
41
45
60
60
31
49
45
45
What is the factor variable? Top-Paid Job Type
What is the response variable? Earnings
Test Statistic: 15.2043 X
P-Value: 0.0000✓ O
Decision Rule: Reject the Null
Did Something Significant Happen? Significance Happened
There is
O to conclude
At least one true average earning is different between Top-Paid actors, athletes and musicians. V
Transcribed Image Text:A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The earnings (in millions of dollars) for several randomly selected people from each category are shown in the table below. It has been confirmed that the population variance for each group is equal and that earnings follow a normal distribution for top-pain actors, athletes and musicians. Use a 5% significance to test the claim. Job Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Earnings 31 34 33 26 21 33 30 36 27 27 34 37 36 23 30 39 46 41 36 50 30 44 43 44 46 54 65 30 39 52 37 41 45 60 60 31 49 45 45 What is the factor variable? Top-Paid Job Type What is the response variable? Earnings Test Statistic: 15.2043 X P-Value: 0.0000✓ O Decision Rule: Reject the Null Did Something Significant Happen? Significance Happened There is O to conclude At least one true average earning is different between Top-Paid actors, athletes and musicians. V
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