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. Actor Athlete Musician 32 48 37 27 53 43 31 43 42 28 38 38 22 47 25 32 42 35 33 46 41 38 33 62 36 33 45 25 46 47 29 35 23 52 14 41 32 37 46 Round your answers to 4 decimal places properly. What is the typical or average variation in earnings between different categories? _______ What is the typical or average variation in earnings within different categories? _________ Test Statistic: _______ P-Value: ________
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
| Actor | Athlete | Musician |
|---|---|---|
| 32 | 48 | 37 |
| 27 | 53 | 43 |
| 31 | 43 | 42 |
| 28 | 38 | 38 |
| 22 | 47 | 25 |
| 32 | 42 | 35 |
| 33 | 46 | 41 |
| 38 | 33 | 62 |
| 36 | 33 | 45 |
| 25 | 46 | 47 |
| 29 | 35 | |
| 23 | 52 | |
| 14 | 41 | |
| 32 | 37 | |
| 46 |
Round your answers to 4 decimal places properly.
What is the typical or average variation in earnings between different categories? _______
What is the typical or average variation in earnings within different categories? _________
Test Statistic: _______
P-Value: ________
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