Ten different families were tested for the average number of litres of water they used per week before and after viewing a conservation video.A 95% confidence interval for the difference of the means after and before the training,
-
,was determined to be (-10.3,-4.1).
A)Based on this sample,we are 95% confident that the average decrease in weekly water consumption after viewing the conservation video is between 4.1 and 10.3 litres.
B)We are 95% confident that a randomly selected family who has viewed the video will use between 4.1 and 10.3 fewer litres of water per week compared to a randomly selected family who has not viewed the video.
C)We are 95% confident that a randomly selected family who has viewed the video will use between 4.1 and 10.3 more litres of water per week compared to a randomly selected family who has not viewed the video.
D)We know that 95% of families will use between 4.1 and 10.3 fewer litres of water each week after viewing the conservation video.
E)Based on this sample,we are 95% confident that the average increase in weekly water consumption after viewing the conservation video is between 4.1 and 10.3 litres.

Question

Ten different families were tested for the average number of litres of water they used per week before and after viewing a conservation video.A 95% confidence interval for the difference of the means after and before the training, 
- 
,was determined to be (-10.3,-4.1).
A)Based on this sample,we are 95% confident that the average decrease in weekly water consumption after viewing the conservation video is between 4.1 and 10.3 litres. 
B)We are 95% confident that a randomly selected family who has viewed the video will use between 4.1 and 10.3 fewer litres of water per week compared to a randomly selected family who has not viewed the video. 
C)We are 95% confident that a randomly selected family who has viewed the video will use between 4.1 and 10.3 more litres of water per week compared to a randomly selected family who has not viewed the video. 
D)We know that 95% of families will use between 4.1 and 10.3 fewer litres of water each week after viewing the conservation video. 
E)Based on this sample,we are 95% confident that the average increase in weekly water consumption after viewing the conservation video is between 4.1 and 10.3 litres.

Quizplus · Accepted Answer

The confidence interval (-10.3,-4.1) indicates that we are 95% confident that the difference between the mean water consumption before and after viewing the video is between -10.3 and -4.1 litres, which implies that there is a decrease in water consumption after viewing the conservation video.

Ten Different Families Were Tested for the Average Number of Litres