Develop the estimated regression equation to show how overall customer satisfaction is related to the independent variable average meal price. (Round your numerical values to two decimal places.) At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between overall customer satisfaction and average meal price. (Use an F test.) State the null and alternative hypotheses. O Ho: Bq z 0 Hạ: Bq < 0 O Ho: Bị = 0 H,: Bz > 0 O Ho: Bị s0 Hgi Bq > 0 O Ho: Bz = 0 Hg: B1 * 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject Ho. There sufficient evidence to conclude that there is a significant relationship. Reject Ho. There is sufficient evidence to conclude that there is a significant relationship.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Question
Romano's Macaroni Grill
Italian
18
82
The Old Spaghetti Factory
Italian
12
79
Uno Chicago Grill
Italian
16
76
(a) Develop the estimated regression equation to show how overall customer satisfaction is related to the independent variable average meal price. (Round your numerical values to two decimal
places.)
(b) At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between overall customer satisfaction and average meal
price. (Use an F test.)
State the null and alternative hypotheses.
O Ho: B1 2 0
Ha: B1
< 0
O Ho: B1 = 0
Ha: B, > 0
O Ho: P1 s0
Hai P1 > 0
Ho: B1
Ha: B1 + 0
= 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value
State your conclusion.
Do not reject Ho: There is sufficient evidence to conclude that there is a significant relationship.
Reject Ho. There is sufficient evidence to conclude that there is a significant relationship.
Do not reject Ho: There is insufficient evidence to conclude that there is a significant relationship.
Reject Ho. There is insufficient evidence to conclude that there is a significant relationship.
Transcribed Image Text:Romano's Macaroni Grill Italian 18 82 The Old Spaghetti Factory Italian 12 79 Uno Chicago Grill Italian 16 76 (a) Develop the estimated regression equation to show how overall customer satisfaction is related to the independent variable average meal price. (Round your numerical values to two decimal places.) (b) At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between overall customer satisfaction and average meal price. (Use an F test.) State the null and alternative hypotheses. O Ho: B1 2 0 Ha: B1 < 0 O Ho: B1 = 0 Ha: B, > 0 O Ho: P1 s0 Hai P1 > 0 Ho: B1 Ha: B1 + 0 = 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value State your conclusion. Do not reject Ho: There is sufficient evidence to conclude that there is a significant relationship. Reject Ho. There is sufficient evidence to conclude that there is a significant relationship. Do not reject Ho: There is insufficient evidence to conclude that there is a significant relationship. Reject Ho. There is insufficient evidence to conclude that there is a significant relationship.
A statistical program is recommended.
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t Assume the following data are representative of the results reported. The
variable type indicates whether the restaurant is an Italian restaurant or a seafood/steakhouse. Price indicates the average amount paid per person for dinner and drinks, minus the tip. Score reflects
diners' overall satisfaction, with higher values indicating greater overall satisfaction. A score of 80 can be interpreted as very satisfied. (Let x, represent average meal price, x, represent type of
restaurant, and y represent overall customer satisfaction.)
Restaurant
Туре
Price ($)
Score
Bertucci's
Italian
16
77
Black Angus Steakhouse
Seafood/Steakhouse
24
79
Bonefish Grill
Seafood/Steakhouse
26
85
Bravo! Cucina Italiana
Italian
18
84
Buca di Bepp0
Italian
17
81
Bugaboo Creek Steak House
Seafood/Steakhouse
18
77
Carrabba's Italian Grill
Italian
23
86
Charlie Brown's Steakhouse
Seafood/Steakhouse
17
75
Il Fornaio
Italian
28
83
Joe's Crab Shack
Seafood/Steakhouse
15
71
Johnny Carino's
Italian
17
81
Lone Star Steakhouse & Saloon
Seafood/Steakhouse
17
76
Longhorn Steakhouse
Seafood/Steakhouse
19
81
Maggiano's Little Italy
Italian
22
83
McGrath's Fish House
Seafood/Steakhouse
16
81
Olive Garden
Italian
19
81
Outback Steakhouse
Seafood/Steakhouse
20
80
Red Lobster
Seafood/Steakhouse
18
78
Romano's Macaroni Grill
Italian
18
82
Transcribed Image Text:A statistical program is recommended. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t Assume the following data are representative of the results reported. The variable type indicates whether the restaurant is an Italian restaurant or a seafood/steakhouse. Price indicates the average amount paid per person for dinner and drinks, minus the tip. Score reflects diners' overall satisfaction, with higher values indicating greater overall satisfaction. A score of 80 can be interpreted as very satisfied. (Let x, represent average meal price, x, represent type of restaurant, and y represent overall customer satisfaction.) Restaurant Туре Price ($) Score Bertucci's Italian 16 77 Black Angus Steakhouse Seafood/Steakhouse 24 79 Bonefish Grill Seafood/Steakhouse 26 85 Bravo! Cucina Italiana Italian 18 84 Buca di Bepp0 Italian 17 81 Bugaboo Creek Steak House Seafood/Steakhouse 18 77 Carrabba's Italian Grill Italian 23 86 Charlie Brown's Steakhouse Seafood/Steakhouse 17 75 Il Fornaio Italian 28 83 Joe's Crab Shack Seafood/Steakhouse 15 71 Johnny Carino's Italian 17 81 Lone Star Steakhouse & Saloon Seafood/Steakhouse 17 76 Longhorn Steakhouse Seafood/Steakhouse 19 81 Maggiano's Little Italy Italian 22 83 McGrath's Fish House Seafood/Steakhouse 16 81 Olive Garden Italian 19 81 Outback Steakhouse Seafood/Steakhouse 20 80 Red Lobster Seafood/Steakhouse 18 78 Romano's Macaroni Grill Italian 18 82
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