12.19 A resort area has three seafood restaurants, which employ stu-dents during the summer season. The local chamber of commercetook a random sample of five servers from each restaurant andrecorded the tips they received on a recent Friday night. The results(in dollars) of the survey are shown in the table below. ASsume thatthe Friday night for which the data were collected is typical of allFriday nights of the summer season.Hwang'sBarzini'sJack's9767931148510210592988578801209091 a. Would a student seeking a server's job at one of these threerestaurants reject the null hypothesis that the mean tips on aFriday night are the same for all three restaurants? Use a 5%level of significance.b. What will your decision be in part a if the probability of mak-ing a Type I error is zero? Explain

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Asked Nov 30, 2019
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12.19 A resort area has three seafood restaurants, which employ stu-
dents 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.
Hwang's
Barzini's
Jack's
97
67
93
114
85
102
105
92
98
85
78
80
120
90
91
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12.19 A resort area has three seafood restaurants, which employ stu- dents 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. Hwang's Barzini's Jack's 97 67 93 114 85 102 105 92 98 85 78 80 120 90 91

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a. Would a student seeking a server's job at one of these three
restaurants reject the null hypothesis that the mean tips on a
Friday night are the same for all three restaurants? Use a 5%
level of significance.
b. What will your decision be in part a if the probability of mak-
ing a Type I error is zero? Explain
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Image Transcriptionclose

a. Would a student seeking a server's job at one of these three restaurants reject the null hypothesis that the mean tips on a Friday night are the same for all three restaurants? Use a 5% level of significance. b. What will your decision be in part a if the probability of mak- ing a Type I error is zero? Explain

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Expert Answer

Step 1

12.19

 

a.

 

State the null and alternative Hypotheses:

 

Null Hypothesis:

 

H0: The mean tips on Friday night are same for all three restaurants.

 

Alternative Hypothesis:

 

H1: At least two mean  are tips on Friday night are different for three restaurants.

 

Excel Procedure:

 

  1. Enter the data for Barzini, Hwang and Jack in Excel sheet.
  2. Go to Data
  3. Click on Data Analysis.
  4. Select ‘Anov...
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Anova: Single Factor SUMMARY Sum Groups Count Average Variance 5 521 191.7 Barzini 104.2 Hwang 412 82.4 103.3 Jack 5 464 92.8 69.7 ANOVA Source of Variation df P-value F crit SS MS F Between Groups 1188.933333 2 594.4666667 4.890046614 0.027972357 3.885293835 Within Groups 1458.8 12 121.5666667 Total 2647.733333 14 n nn

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