Below are the heel heights (in inches) of shoes worn by 30 different celebrities at three events: 10 at the Oscars, 10 at the Golden Globes, and 10 at the Grammys. Test the hypothesis that these celebrities wear different-sized heels for these three events, using an alpha level of .05.

oscars Golden Globes Grammys

• 3 1 4
• 2 0 3
• 3 0 4
• 2 1 6
• 1.5 2 5
• 2 1 4
• 3 3 4
• 3 1 6
• 2 2 5
• 3 1 6

What test is appropriate?

State the null hypothesis:

State the Alternative Hypothesis:

Report the obtained statistic:

Make a Decision: