Question

Name: Score: STATS EXPRESS LOCK 8.1 DGP A university student decided to set up a formal experiment to see if ants are more attracted to some common sandwich filings. He chose three types of filings to compare: vegemite, peanut butter, and ham & pickles After several minutes he placed a jar over the sandwich bit and counted the number of ants. He repeated this process eight times to get eight cases. The data are stored in the file SandwichAnts. Overall 24 F. Peanut Ham & Statistics Vegemite Mutter Pickles Sample Size 5 8 Mean 30.8 34.0 49.3 Standard 9.3 14.6 10.8 Deviation 38.0 1. Are conditions met for ANOVA? Explain 2. Regardless of your answer on number 1, assume an ANOVA test is appropriate. State the hypotheses for this test 3. How many groups (k) are in the SandwichAnts? 4. What is the total pooled sample size (n)? 5. What are the degrees of freedom for groups (numerator - 1)? 6. What are the degrees of freedom for error (denominator - k)? 7. Test Statistic (See above the summary statistics.) 8. Shade the appropriate tal area of the F distribution curve and use StatKey to find the p-value P-value . State a two-part conclusion using an alpha level of 5%

Answer 1

1. Since there are no outliers in the data and the equal variance assumption is met, we can say that the conditions for ANOVA are met.

2. The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: Not all means are equal

3. k = 3

4. n = 24