Question
Data File Available: Download GrandStrand.xlsx You may need to use the appropriate technology to answer this question. The Consumer Reports Restaurant Customer Satisfaction Survey is
Data File Available: Download GrandStrand.xlsx
You may need to use the appropriate technology to answer this 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, 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 eight seafood restaurants, eight Italian restaurants, and eight steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled.
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 |
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: Not all the population means are equal. Ha: Italian = Seafood = Steakhouse
H0: Italian = Seafood = Steakhouse
\Ha: Not all the population means are equal.
H0: Italian Seafood Steakhouse
Ha: Italian = Seafood = Steakhouse
H0: At least two of the population means are equal.
Ha: At least two of the population means are different
.H0: Italian = Seafood = Steakhouse
Ha: Italian Seafood Steakhouse
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?
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 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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