The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a
ID: 3150782 • Letter: T
Question
The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information.
Conduct an individual test on each of the variables. What is the decision rule at the .05 level of significance? (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)
Use the equation developed in part (c) to determine the coefficient of determination. (Round your answer to 2 decimal places.)
The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information.
Complete the ANOVA table. (Leave no cells blank - be certain to enter "0" wherever required. Round SS, MS to 3 decimal places and F to 2 decimal places.) Source DF SS MS F P Regression Residual Error Total b-2. What is your decision regarding the null-hypothesis? (Reject or Do not reject) null hypothesis. At least one coefficient is (not different or different) from 0. c-1.Conduct an individual test on each of the variables. What is the decision rule at the .05 level of significance? (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)
It would be rejected if t is less than or more than . c-2. Which variable should be deleted? (Bill only or Diner only or Neither) should be deleted. d.Use the equation developed in part (c) to determine the coefficient of determination. (Round your answer to 2 decimal places.)
The coefficient of determination isExplanation / Answer
b2)
H0: There is no difference between all the three groups
H1:There is a difference between all the three groups
alpha:5%
Test statistic:
F cal=64.22
Conclusion:
P=0.000000 <0.05 We reject the H0. Hence reuslts are significant.
d) The coefficient of determination is=SSGroups/SS total=19784.47 / 33186.29 = 0.5962
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Amount 30 119.75 3.991667 4.138463 Bill 30 1045.98 34.866 455.7356 Diners 30 86 2.866667 2.257471 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 19784.47 2 9892.237 64.21703 7.41E-18 3.101296 Within Groups 13401.81 87 154.0438 Total 33186.29 89Related Questions
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