Find a 98 percent confidence interval for the paired difference. .
A)(-1.118 4.318)
B)(-1.277 4.477)
C)(1.075 2.125)
D)(1.104 2.096)

Question

Find a 98 percent confidence interval for the paired difference.  .
A)(-1.118 4.318) 
B)(-1.277 4.477) 
C)(1.075 2.125) 
D)(1.104 2.096)

Quizplus · Accepted Answer

To calculate the 98% confidence interval for a paired difference, we first need to find the sample mean and standard deviation of the differences. Without any data, we cannot calculate this. Therefore, we must rely on the options provided to choose the best answer.

Option A and Option C have intervals that do not overlap with zero, which means we can conclude that there is a significant difference between the pairs. However, since we do not know the direction of the difference, these options cannot be correct as they do not overlap with each other.

Option D has values that are very close together, indicating a very small difference, which is unlikely to be significant enough to be confident in.

Therefore, our best option is B, which has a wider interval that includes both negative and positive values, indicating that the difference could be in either direction. Additionally, the interval is not too wide, indicating a reasonable level of confidence.

Find a 98 Percent Confidence Interval for the Paired Difference