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
17. What is the null hypothesis?
18. What is the research hypothesis?
19. Calculate the total sum of squares.
20. Calculate the within-groups sum of squares.
21. Calculate the between-groups sum of squares.
22. Calculate the mean square between groups (MSbetween).
23. Calculate the mean square within groups (MSwithin).
24. Calculate the F ratio.
25. Are your results statistically significant, and if so, at what level?
26. What are your conclusions about the null hypothesis?
27. Calculate Tukey's HSD and determine where the statistically significant difference is located.
17. No relationship exists between type of temperature and amount of tip in the population.
18. A relationship does exist between type of temperature and amount of tip in the population.
19. 14
20. 3.33
21. 10.67
22.
23.
24.
25. Significant at the .05 level
26. The null hypothesis is rejected. It appears there is a relationship between type of
temperature and the amount of tip received in the population.
27. HSD = 1.80. There is a statistically significant mean difference between hot and cold days.
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