Question
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,
TheConsumer ReportsRestaurant 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 a local newspaper thought that it would be of interest to her readers to conduct a similar study for restaurants located in her city. The reporter selected a sample of eight seafood restaurants, eight Italian restaurants, and eight steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled.
Italian- 12, 14, 15, 17, 17, 20, 17, 24
Seafood -17, 19, 18, 26, 22, 14, 19, 17
Steakhouse - 23, 19, 23, 25, 22, 23, 26, 31
Use= 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants.
State the null and alternative hypotheses.
H0: At least two of the population means are equal. Ha: At least two of the population means are different.
H0: Not all the population means are equal. Ha:Italian=Seafood=Steakhouse
H0:ItalianSeafoodSteakhouse Ha:Italian=Seafood=Steakhouse
H0:Italian=Seafood=Steakhouse Ha: Not all the population means are equal.
H0:Italian=Seafood=Steakhouse Ha:ItalianSeafoodSteakhouse
Find the value of the test statistic. (Round your answer to two decimal places.)
Find thep-value. (Round your answer to four decimal places.)
p-value =
What is your conclusion?
RejectH0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
Do not rejectH0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
Do not rejectH0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
RejectH0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
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