nina would like to estimate the difference in the mean amount of time students spend on math homework at her…

nina would like to estimate the difference in the mean amount of time students spend on math homework at her public school versus her cousin sharons private school. to do so, each girl selects a random sample of 30 students from their large schools and asks the selected students how much time they spent doing math homework the previous night. the 90% confidence interval for the true difference in the population means, for private - public, is 0.25 hours to 0.92 hours. is it reasonable for the girls to claim that private school students tended to spend an additional 30 minutes on math homework the previous night?\nyes, because 30 is a plausible value in the confidence interval.\nyes, because 0.5 is a plausible value in the confidence interval.\nno, because 30 is a plausible value in the confidence interval.\nno, because 0.5 is a plausible value in the confidence interval.

nina would like to estimate the difference in the mean amount of time students spend on math homework at her public school versus her cousin sharons private school. to do so, each girl selects a random sample of 30 students from their large schools and asks the selected students how much time they spent doing math homework the previous night. the 90% confidence interval for the true difference in the population means, for private - public, is 0.25 hours to 0.92 hours. is it reasonable for the girls to claim that private school students tended to spend an additional 30 minutes on math homework the previous night?\nyes, because 30 is a plausible value in the confidence interval.\nyes, because 0.5 is a plausible value in the confidence interval.\nno, because 30 is a plausible value in the confidence interval.\nno, because 0.5 is a plausible value in the confidence interval.

Answer

Explanation:

Step1: Convert 30 minutes to hours

30 minutes = 0.5 hours

Step2: Analyze the confidence - interval

The 90% confidence interval for the true difference in population means (private - public) is 0.25 hours to 0.92 hours. Since 0.5 hours lies within this confidence interval, it is a plausible value for the difference in the mean amount of time students spend on math homework. So it is reasonable for the girls to claim that private school students tended to spend an additional 30 minutes (0.5 hours) on math homework the previous night.

Answer:

Yes, because 0.5 is a plausible value in the confidence interval.