A two-sample t-test for a difference in means was conducted to investigate whether the average wait time at a fast food restaurant in Town A was longer than the average wait time at a fast food restaurant in Town B. With all conditions for inference met, the test produced a test statistic of t=2.42 and a p-value of 0.011. Based on the p-value and a significance level of α=0.02, which of the following is a correct conclusion? There is convincing statistical evidence that the average wait times at the two restaurants are the same. A There is convincing statistical evidence that the average wait time at the restaurant in Town A is longer than the average wait time at the restaurant in Town B. B There is convincing statistical evidence that the average wait times at the two restaurants are different. C There is not convincing statistical evidence that the average wait times at the two restaurants are the same. D There is not convincing statistical evidence that the average wait time at the restaurant in Town A is longer than the average wait time at the restaurant in Town B.
A two-sample t-test for a difference in means was conducted to investigate whether the average wait time at a fast food restaurant in Town A was longer than the average wait time at a fast food restaurant in Town B. With all conditions for inference met, the test produced a test statistic of t=2.42 and a p-value of 0.011.
Based on the p-value and a significance level of α=0.02, which of the following is a correct conclusion?
-
There is convincing statistical evidence that the average wait times at the two restaurants are the same.
A -
There is convincing statistical evidence that the average wait time at the restaurant in Town A is longer than the average wait time at the restaurant in Town B.
B -
There is convincing statistical evidence that the average wait times at the two restaurants are different.
C -
There is not convincing statistical evidence that the average wait times at the two restaurants are the same.
D -
There is not convincing statistical evidence that the average wait time at the restaurant in Town A is longer than the average wait time at the restaurant in Town B.
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