Match the following scenarios with the correct interpretations. A confidence interval for the difference between two means contains zero.
There is not evidence of a difference in the averages of the first and second paired measurements. It is plausible that the two means are equal, and therefore there is not evidence of a difference. There is evidence that the average of the second measurement is greater than the average of the first measurement. It is plausible that the two means are equal, and therefore there is evidence of a difference. It is not plausible that the two means are equal, and therefore there is evidence of a difference. It is not plausible that the two means are equal, and therefore there is not evidence of a difference. There is evidence that the average of the first measurement is greater than the average of the second measurement.
A confidence interval for the difference between two means does not contain zero.
There is not evidence of a difference in the averages of the first and second paired measurements. It is plausible that the two means are equal, and therefore there is not evidence of a difference. There is evidence that the average of the second measurement is greater than the average of the first measurement. It is plausible that the two means are equal, and therefore there is evidence of a difference. It is not plausible that the two means are equal, and therefore there is evidence of a difference. It is not plausible that the two means are equal, and therefore there is not evidence of a difference. There is evidence that the average of the first measurement is greater than the average of the second measurement.
A confidence interval for the average paired difference is entirely negative.
There is not evidence of a difference in the averages of the first and second paired measurements. It is plausible that the two means are equal, and therefore there is not evidence of a difference. There is evidence that the average of the second measurement is greater than the average of the first measurement. It is plausible that the two means are equal, and therefore there is evidence of a difference. It is not plausible that the two means are equal, and therefore there is evidence of a difference. It is not plausible that the two means are equal, and therefore there is not evidence of a difference. There is evidence that the average of the first measurement is greater than the average of the second measurement.
A confidence interval for the average paired difference is entirely positive.
There is not evidence of a difference in the averages of the first and second paired measurements. It is plausible that the two means are equal, and therefore there is not evidence of a difference. There is evidence that the average of the second measurement is greater than the average of the first measurement. It is plausible that the two means are equal, and therefore there is evidence of a difference. It is not plausible that the two means are equal, and therefore there is evidence of a difference. It is not plausible that the two means are equal, and therefore there is not evidence of a difference. There is evidence that the average of the first measurement is greater than the average of the second measurement.
