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 ($) obtained for the 24 restaurants sampled. Use alpha = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. Sheet 7 Italian Seafood Steakhouse 12 16 24 13 18 19 15 17 23 17 26 25 18 23 21 20 15 22 17 19 27 24 18 31 Select one: a) Fstat = 7.33 > Fcrit = 3.47, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal b) Fstat = 3.47 < Fcrit = 7.33, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal c) p-value = 0.0039 < alpha = 0.05, insufficient evidence to reject the null hypothesis that the mean meal price for the three types of restaurants are equal d) p-value = 0.0039 < alpha = 0.05, reject the null hypothesis that the mean meal price for the three types of restaurants are equal
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The data in Sheet 7 show the meal prices ($) 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.
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 |
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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