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The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website). One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. Sum of Squares Degrees Mean Square F p-value Source of Variation (to whole number) of Freedom (to 2 decimals) (to 2 decimals) (to 4 decimals) X * X X Treatments Error Total The p-value is less than 0.01 What is your conclusion? Conclude not all treatment means are equal v S X X * * Italian $ 11 $ 12 $ 13 $16 $ 19 $ 20 $18 $ 24 Seafood $15 $18 $18 $24 $ 21 $ 13 $ 17 $18 Steakhouse $ 24 $18 $ 21 $25 $ 21 $21 $ 28 $ 30 4

The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website). One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. Sum of Squares Degrees Mean Square F p-value Source of Variation (to whole number) of Freedom (to 2 decimals) (to 2 decimals) (to 4 decimals) X * X X Treatments Error Total The p-value is less than 0.01 What is your conclusion? Conclude not all treatment means are equal v S X X * * Italian $ 11 $ 12 $ 13 $16 $ 19 $ 20 $18 $ 24 Seafood $15 $18 $18 $24 $ 21 $ 13 $ 17 $18 Steakhouse $ 24 $18 $ 21 $25 $ 21 $21 $ 28 $ 30 4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website). One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. Source Sum of Squares Degrees Mean Square F P-value of Variation (to whole number) of Freedom (to 2 decimals) (to 2 decimals) (to 4 decimals) X X (X) * X * * Treatments Error Total The p-value is less than 0.01 What is your conclusion? Conclude not all treatment means are equal ✔ X X X Italian $ 11 $ 12 $ 13 $ 16 $19 $ 20 $18 $ 24 Seafood $ 15 $18 $18 $24 $ 21 $ 13 $ 17 $18 Steakhouse $24 $18 $21 $25 $ 21 $ 21 $ 28 $ 30
Transcribed Image Text:The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website). One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Use a = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. Source Sum of Squares Degrees Mean Square F P-value of Variation (to whole number) of Freedom (to 2 decimals) (to 2 decimals) (to 4 decimals) X X (X) * X * * Treatments Error Total The p-value is less than 0.01 What is your conclusion? Conclude not all treatment means are equal ✔ X X X Italian $ 11 $ 12 $ 13 $ 16 $19 $ 20 $18 $ 24 Seafood $ 15 $18 $18 $24 $ 21 $ 13 $ 17 $18 Steakhouse $24 $18 $21 $25 $ 21 $ 21 $ 28 $ 30
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