QMB Discussion Week 5 ONLY ANSWER 3 QUESTIONS

In Chapter 14, we are learning about analysis of variance (ANOVA). Consider the following scenario: (page 578-579 in Triola Elem stat 12ed)

The table below shows arrival delay times (in minutes) for flights from New York to Los Angeles. Negative values correspond to flights that arrived early.

Shown is output from a statistical software package, SPSS, for an analysis of variance (ANOVA) to test the claim that the different flights have same arrival time.

For this scenario, answer three of the following questions:

1. What characteristic of the data above indicates that we should use one-way analysis of variance? Explain.
2. If the objective is to test the claim that the three flights have the same mean arrival time, why is the method referred to as an analysis of variance? Explain.
3. If we want to test for equality of the three means, why don’t we use three separate hypothesis tests for μ₁= μ₂, μ₁= μ₃, μ₂= μ₃? Explain.
4. What is the value of the test statistic? What distribution is used with the statistic? What do we information do we use to find the critical value using α =0.05 for this distribution. What is the critical value that determines the rejection region?
5. If we use α =0.05 significance level in an analysis of variance with the sample data shown above, what is the P-value? What can we conclude? Answer using the critical value and using the P-value. If a passenger abhors late arrivals, can that passenger be helped by selecting one of these flights? Explain.
6. How might you improve this study? Explain.