The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. 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 data in Sheet 7 show the meal prices ($) obtained for the 24 restaurants sampled. Use alpha = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants.   Sheet 7  Italian Seafood Steakhouse 12 16 24 13 18 19 15 17 23 17 26 25 18 23 21 20 15 22 17 19 27 24 18 31   Select one: a) Fstat = 7.33 > Fcrit = 3.47, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal b) Fstat = 3.47 < Fcrit = 7.33, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal c) p-value = 0.0039 < alpha = 0.05, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal d) p-value = 0.0039 < alpha = 0.05, reject the null hypothesis that the mean meal price for the three types of restaurants are equal

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. 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 data in Sheet 7 show the meal prices ($) obtained for the 24 restaurants sampled.

Use alpha = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants.

 

Sheet 7 
Italian Seafood Steakhouse
12 16 24
13 18 19
15 17 23
17 26 25
18 23 21
20 15 22
17 19 27
24 18 31

 

Select one:
a) Fstat = 7.33 > Fcrit = 3.47, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal

b) Fstat = 3.47 < Fcrit = 7.33, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal

c) p-value = 0.0039 < alpha = 0.05, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal

d) p-value = 0.0039 < alpha = 0.05, reject the null hypothesis that the mean meal price for the three types of restaurants are equal

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