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.ItalianSeafoodSteakhouse$13$17$25121920141623162525192421191521161826271039Use ? = 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: ?Italian ≠ ?Seafood ≠ ?SteakhouseHa: ?Italian = ?Seafood = ?SteakhouseH0: ?Italian = ?Seafood = ?SteakhouseHa: Not all the population means are equal. H0: ?Italian = ?Seafood = ?SteakhouseHa: ?Italian ≠ ?Seafood ≠ ?SteakhouseH0: Not all the population means are equal.Ha: ?Italian = ?Seafood = ?SteakhouseH0: 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. Reject H0. There is 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.

Researchers conduct one-way ANOVA to test the significant difference in population means of three or…

Answered: The Consumer Reports Restaurant…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 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
$13	$17	$25
12	19	20
14	16	23
16	25	25
19	24	21
19	15	21
16	18	26
27	10	39

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: ?_Italian ≠ ?_Seafood ≠ ?_Steakhouse
H_a: ?_Italian = ?_Seafood = ?_SteakhouseH₀: ?_Italian = ?_Seafood = ?_Steakhouse
H_a: Not all the population means are equal. H₀: ?_Italian = ?_Seafood = ?_Steakhouse
H_a: ?_Italian ≠ ?_Seafood ≠ ?_SteakhouseH₀: Not all the population means are equal.
H_a: ?_Italian = ?_Seafood = ?_SteakhouseH₀: At least two of the population means are equal.
H_a: 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. Reject H₀. There is 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.

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