A valet parking attendant is interested in when she gets bigger tips. To study t

Question

A valet parking attendant is interested in when she gets bigger tips. To study this question, she records the size of the tip given by her customers on 3 extremely hot summer days, 3 warm spring days, and 3 cold winter days Complete an analysis of variance to test the differences between mean tips with significance (a.05), to determine which groups differ from each other. Hot Day Warm Day Cold Day $2.00 $4.00 $5.00 $2.00$4.00 $6.00 $3.00$3.00 $4.00 1. What is the null hypothesis? 2. What is the research hypothesis? 3. Calculate the total sum of squares 4. Calculate the within-groups sum of squares 5. Calculate the between-groups sum of squares 6. Calculate the mean square between groups (MSbetween) 7. Calculate the mean square within groups (MSwithin) 8. Calculate the F ratio 9. Are your results statistically significant, and if so, at what level? 10. What are your conclusions about the null hypothesis?

Explanation / Answer

p-value = 0.01349 < 0.05

we reject the null , the results are statistically significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance hot 3 7 2.333333333 0.333333333 warm 3 11 3.666666667 0.333333333 cold 3 15 5 1 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 10.66666667 2 5.333333333 9.6 0.013497462 5.14325285 Within Groups 3.333333333 6 0.555555556 Total 14 8

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