A magazine collects data each year on the price of a hamburger in a certain fast food restaurant in various countries around the world. The price of this hamburger for a sample of restaurants in Europe in January resulted in the following hamburger prices (after conversion to U.S. dollars). 5.17 4.95 4.09 4.67 5.28 4.69 4.13 4.97 5.15 5.55 5.36 4.60 A USE SALT The mean price of this hamburger in the U.S. in January was $4.63. For purposes of this exercise, assume it is reasonable to regard the sample as representative of these European restaurants. Does the sample provide convincing evidence that the mean January price of this hamburger in Europe is greater than the reported U.S. price? Test the relevant hypotheses using a = 0.05. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) P-value -

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
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A magazine collects data each year on the price of a hamburger in a certain fast food restaurant in various countries around the world. The price of this hamburger for a sample of restaurants in Europe in January resulted in the following hamburger prices (after conversion to U.S. dollars):

5.17, 4.95, 4.09, 4.67, 5.28, 4.69,
4.13, 4.97, 5.15, 5.55, 5.36, 4.60

The mean price of this hamburger in the U.S. in January was $4.63. For purposes of this exercise, assume it is reasonable to regard the sample as representative of these European restaurants. Does the sample provide convincing evidence that the mean January price of this hamburger in Europe is greater than the reported U.S. price? Test the relevant hypotheses using α = 0.05. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.)

t = ________
P-value = ________

State your conclusion.

- \( \text{Do not reject } H_0 \). We do not have convincing evidence that the mean price of a hamburger in a certain fast food restaurant in Europe is greater than $4.63.
- \( \text{Reject } H_0 \). We do not have convincing evidence that the mean price of a hamburger in a certain fast food restaurant in Europe is greater than $4.63.
- \( \text{Do not reject } H_0 \). We have convincing evidence that the mean price of a hamburger in a certain fast food restaurant in Europe is greater than $4.63.
- \( \text{Reject } H_0 \). We have convincing evidence that the mean price of a hamburger in a certain fast food restaurant in Europe is greater than $4.63.
Transcribed Image Text:A magazine collects data each year on the price of a hamburger in a certain fast food restaurant in various countries around the world. The price of this hamburger for a sample of restaurants in Europe in January resulted in the following hamburger prices (after conversion to U.S. dollars): 5.17, 4.95, 4.09, 4.67, 5.28, 4.69, 4.13, 4.97, 5.15, 5.55, 5.36, 4.60 The mean price of this hamburger in the U.S. in January was $4.63. For purposes of this exercise, assume it is reasonable to regard the sample as representative of these European restaurants. Does the sample provide convincing evidence that the mean January price of this hamburger in Europe is greater than the reported U.S. price? Test the relevant hypotheses using α = 0.05. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = ________ P-value = ________ State your conclusion. - \( \text{Do not reject } H_0 \). We do not have convincing evidence that the mean price of a hamburger in a certain fast food restaurant in Europe is greater than $4.63. - \( \text{Reject } H_0 \). We do not have convincing evidence that the mean price of a hamburger in a certain fast food restaurant in Europe is greater than $4.63. - \( \text{Do not reject } H_0 \). We have convincing evidence that the mean price of a hamburger in a certain fast food restaurant in Europe is greater than $4.63. - \( \text{Reject } H_0 \). We have convincing evidence that the mean price of a hamburger in a certain fast food restaurant in Europe is greater than $4.63.
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