SUMMARY Groups Count Sum Average Variance Barzini's 5 521 104,2 191,7 Hwang's 5 412 82,4 103,3 Jack's 5 464 92,8 69,7 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1188,933333 2 594,4666667 4,890046614 0,02797236 3,88529383 Within Groups 1458,8 12 121,5666667 Total 2647,733333 14 You are required to answer the following questions: Would a student seeking a server’s job at one of these three restaurants conclude that the mean tips on a Friday night are the same for all three restaurants? Use the 5% level of significance. If the sample data indicate the existence of mean tips on a Friday night across these three seafood restaurants, which restaurants appear to produce different average tips at 5% le
A resort area has three seafood restaurants, which employ students during the summer season. The local chamber of commerce took a random sample of five servers from each restaurant and recorded the tips they received on a recent Friday night. The results (in dollars) of the survey are shown in the table below. Assume that the Friday night for which the data were collected is typical of all Friday nights of the summer season.
|
Barzini’s |
Hwang’s |
Jack’s |
|
97 |
67 |
93 |
|
114 |
85 |
102 |
|
105 |
92 |
98 |
|
85 |
78 |
80 |
|
120 |
90 |
91 |
Based on the above data, a one way ANOVA analysis was performed and the results are shown below.
|
Anova: Single Factor |
||||||
|
SUMMARY |
||||||
|
Groups |
Count |
Sum |
Average |
Variance |
||
|
Barzini's |
5 |
521 |
104,2 |
191,7 |
||
|
Hwang's |
5 |
412 |
82,4 |
103,3 |
||
|
Jack's |
5 |
464 |
92,8 |
69,7 |
||
|
ANOVA |
||||||
|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
1188,933333 |
2 |
594,4666667 |
4,890046614 |
0,02797236 |
3,88529383 |
|
Within Groups |
1458,8 |
12 |
121,5666667 |
|||
|
Total |
2647,733333 |
14 |
|
|
|
|
You are required to answer the following questions:
- Would a student seeking a server’s job at one of these three restaurants conclude that the mean tips on a Friday night are the same for all three restaurants? Use the 5% level of significance.
- If the sample data indicate the existence of mean tips on a Friday night across these three seafood restaurants, which restaurants appear to produce different average tips at 5% level? Hint: Construct an appropriate test for difference in all pairs of means.
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