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 following data show the meal prices (S) 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 a- 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. O Hai Faian seafood""Steaihouse H Falasufoodseeaihouse O M: Not all the population means are equal. * Palan Fseafood Fsceakhouse O H: At least two of the population means are equal. H: At least two of the population means are different. Ho alan ""seafood""Soeaihouse H: Not all the population means are equal. . O Ho: Halan"#Seafood "Soeakhouse # Falan * Fseafood* FSceaichouse 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 condlusion? O Reject H.. There is not sufficient evidence to condude that the mean meal prices are not all the same for the three types of restaurants. O Do not reject H. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants. O Do not reject H There is sufficient evidence to condude that the mean meal prices are not all the same for the three types of restaurants. O Reject H.. There is sufficient evidence to condude that the mean meal prices are not all the same for the three types of restaurants.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t 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 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 a = 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.
O Ho: ralian * lseafood * lsteakhouse
H: talian = lSeafood = ASteakhouse
O Ho: Not all the population means are equal.
H: "Italian - Seafood = "Steakhouse
O H: At least two of the population means are equal.
H: At least two of the population means are different.
O Ho: talian = "Seafood = Msteakhouse
H.: Not all the population means are equal.
O Ho: HItalian = "Seafood = Hsteakhouse
H: "talian * 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?
O Reject H.. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
O Do not reject H,. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
O Do not reject H,. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
O Reject Hn. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.
Transcribed Image Text:The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t 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 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 a = 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. O Ho: ralian * lseafood * lsteakhouse H: talian = lSeafood = ASteakhouse O Ho: Not all the population means are equal. H: "Italian - Seafood = "Steakhouse O H: At least two of the population means are equal. H: At least two of the population means are different. O Ho: talian = "Seafood = Msteakhouse H.: Not all the population means are equal. O Ho: HItalian = "Seafood = Hsteakhouse H: "talian * 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? O Reject H.. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants. O Do not reject H,. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants. O Do not reject H,. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants. O Reject Hn. 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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