The Economist collects data each year on the price of a Big Mac in various countries around the world. A sample of McDonald's restaurants in Europe in July 2016 resulted in the follow Big Mac prices (after conversion to U.S. dollars). 4.47 3.16 2.44 3.98 4.36 4.54 4.16 3.70 4.61 3.79 3.39 3.84 n USE SALT The mean price of a Big Mac in the U.S. in July 2016 was $5.04. For purposes of this exercise, assume it is reasonable to regard the sample as representative of European McDonald's restaurants. Does the sample provide convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price? Test the relevant hypotheses using a = 0.05.

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The Economist collects data each year on the price of a Big Mac in various countries around the world. A sample of McDonald's restaurants in Europe in July 2016 resulted in the following
Big Mac prices (after conversion to U.S. dollars).
4.47
3.16
2.44
3.98
4.36
4.54
4.16
3.70
4.61
3.79
3,39
3.84
L USE SALT
The mean price of a Big Mac in the U.S. in July 2016 was $5.04. For purposes of this exercise, assume it is reasonable to regard the sample as representative of European McDonald's
restaurants. Does the sample provide convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price? Test the relevant hypotheses using
a = 0.05.
State the appropriate null and alternative hypotheses.
O Ho: H = 5.04
H: H > 5.04
O Ho: u = 5.04
HH< 5.04
O Họi H < 5.04
Hu> 5.04
O Ho: H > 5.04
H < 5.04
O Ho: H = 5.04
HH= 5.04
Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to one decimal place and your P-value to three decimal places.)
P-value =
Transcribed Image Text:The Economist collects data each year on the price of a Big Mac in various countries around the world. A sample of McDonald's restaurants in Europe in July 2016 resulted in the following Big Mac prices (after conversion to U.S. dollars). 4.47 3.16 2.44 3.98 4.36 4.54 4.16 3.70 4.61 3.79 3,39 3.84 L USE SALT The mean price of a Big Mac in the U.S. in July 2016 was $5.04. For purposes of this exercise, assume it is reasonable to regard the sample as representative of European McDonald's restaurants. Does the sample provide convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price? Test the relevant hypotheses using a = 0.05. State the appropriate null and alternative hypotheses. O Ho: H = 5.04 H: H > 5.04 O Ho: u = 5.04 HH< 5.04 O Họi H < 5.04 Hu> 5.04 O Ho: H > 5.04 H < 5.04 O Ho: H = 5.04 HH= 5.04 Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to one decimal place and your P-value to three decimal places.) P-value =
State the conclusion in the problem context.
O We reject Ho: We have convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price.
O We reject H. We do not have convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price.
O We fail to reject H. We do not have convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price.
O We fail to reject H. We have convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price.
You may need to use the appropriate table in the appendix to answer this question.
Transcribed Image Text:State the conclusion in the problem context. O We reject Ho: We have convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price. O We reject H. We do not have convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price. O We fail to reject H. We do not have convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price. O We fail to reject H. We have convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price. You may need to use the appropriate table in the appendix to answer this question.
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