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).
5.16 | 4.95 | 4.04 | 4.66 | 5.28 | 4.64 |
4.13 | 4.96 | 5.15 | 5.55 | 5.39 | 4.60 |
The mean price of this hamburger in the U.S. in January was $4.62. 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 three decimal places.)
A)
t | = | |
P-value | = |
B)
Reject H0. We have convincing evidence that
the mean price of a hamburger in a certain fast food restaurant in
Europe is greater than $4.62.
Reject H0. We do not have convincing evidence
that the mean price of a hamburger in a certain fast food
restaurant in Europe is greater than $4.62.
Do not reject H0. We do not have convincing
evidence that the mean price of a hamburger in a certain fast food
restaurant in Europe is greater than $4.62.
Do not reject H0. We have convincing evidence
that the mean price of a hamburger in a certain fast food
restaurant in Europe is greater than $4.62.
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