Question

The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.†...

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 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 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled.

Italian Seafood Steakhouse
$12 $17 $23
12 18 19
15 16 24
18 25 24
18 23 20
19 15 22
16 19 26
26 19 34

Use α = 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: μItalian ≠ μSeafood ≠ μSteakhouse
Ha: μItalian = μSeafood = μSteakhouse

H0: μItalian = μSeafood = μSteakhouse
Ha: μItalian ≠ μSeafood ≠ μSteakhouse  

H0: Not all the population means are equal.
Ha: μItalian = μSeafood = μSteakhouse

H0: μItalian = μSeafood = μSteakhouse
Ha: Not all the population means are equal.

H0: At least two of the population means are equal.
Ha: At least two of the population means are different.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

What is your conclusion?

Do not reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

Reject H0. 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 reject H0. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

Reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

(1) The null and alternative hypotheses:

H0: μItalian = μSeafood = μSteakhouse
Ha: Not all the population means are equal

(2) The value of the test statistic = 5.84

(3) p-value = 0.0096

(4) Conclusion: Reject H0. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

ANOVA Test Summary:

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