I. Single Factor Anova (calculation from sample statistics). A casino company has 3 resorts. It is...

Transcribed Image Text:

I. Single Factor Anova (calculation from sample statistics). A casino company has 3 resorts. It is interested in comparing their performance. One measure is a customer's length of stay. For a random sample of 20 customers at the resorts, length of stay in days is recorded. The statistical summary is given below. Is resort location a significant source of stay variation? Conduct Anova at the 0.05 significance level. Note that the sample sizes vary. SUMMARY Groups Count Sum Average Variance Bates' Casino and Spa 7 49 7 11.33333 Trump Pontchartrain 5 25 5 6.5 The Roach Palace 8 74 9.25 2.5 1. State the null hypothesis in a complete sentence. (2) 2. State the alternative hypothesis in a complete sentence. (2) 3. State (an if-then statement) the CV approach rejection rule. You must give a specific CV. (3) 4. Find the MSB (0.01). (3) 5. Find the MSW (0.01). (3) 6. Compute the F test statistic. (2) 7. In a complete sentence, what is the rejection decision? (2) 8. In a complete sentence, what does this decision imply about the issue in question? (3) 9. Use technology to find the p-value of the test (.001). (3) 10. In a complete sentence, explain what a Type 1 error specifically means in an Anova test. (2) 11. In a complete sentence, explain what a Type 2 error specifically means in an Anova test. (2) I. Single Factor Anova (calculation from sample statistics). A casino company has 3 resorts. It is interested in comparing their performance. One measure is a customer's length of stay. For a random sample of 20 customers at the resorts, length of stay in days is recorded. The statistical summary is given below. Is resort location a significant source of stay variation? Conduct Anova at the 0.05 significance level. Note that the sample sizes vary. SUMMARY Groups Count Sum Average Variance Bates' Casino and Spa 7 49 7 11.33333 Trump Pontchartrain 5 25 5 6.5 The Roach Palace 8 74 9.25 2.5 1. State the null hypothesis in a complete sentence. (2) 2. State the alternative hypothesis in a complete sentence. (2) 3. State (an if-then statement) the CV approach rejection rule. You must give a specific CV. (3) 4. Find the MSB (0.01). (3) 5. Find the MSW (0.01). (3) 6. Compute the F test statistic. (2) 7. In a complete sentence, what is the rejection decision? (2) 8. In a complete sentence, what does this decision imply about the issue in question? (3) 9. Use technology to find the p-value of the test (.001). (3) 10. In a complete sentence, explain what a Type 1 error specifically means in an Anova test. (2) 11. In a complete sentence, explain what a Type 2 error specifically means in an Anova test. (2)