a doctor would like to estimate the mean difference in height of pairs of identical twins. the doctor…

a doctor would like to estimate the mean difference in height of pairs of identical twins. the doctor randomly selects 8 pairs of identical twins and determines the current height, in inches, of each twin. the data are displayed in the table.\n|pair|1|2|3|4|5|6|7|8|\n|----|----|----|----|----|----|----|----|----|\n|twin 1|66|64.5|72|70|65|64.5|48|54|\n|twin 2|67|65|72|69.5|65|63|49|54.5|\na 95% confidence interval for the mean difference (twin 1 - twin 2) in height is (-0.823, 0.573). based on the confidence interval, is it reasonable to claim there is no difference in the heights of twins?\nno, 0 is contained in the 95% confidence interval.\nyes, 0 is contained in the 95% confidence interval.\nno, the 95% confidence interval contains positive numbers.\nyes, the 95% confidence interval contains negative numbers.

a doctor would like to estimate the mean difference in height of pairs of identical twins. the doctor randomly selects 8 pairs of identical twins and determines the current height, in inches, of each twin. the data are displayed in the table.\n|pair|1|2|3|4|5|6|7|8|\n|----|----|----|----|----|----|----|----|----|\n|twin 1|66|64.5|72|70|65|64.5|48|54|\n|twin 2|67|65|72|69.5|65|63|49|54.5|\na 95% confidence interval for the mean difference (twin 1 - twin 2) in height is (-0.823, 0.573). based on the confidence interval, is it reasonable to claim there is no difference in the heights of twins?\nno, 0 is contained in the 95% confidence interval.\nyes, 0 is contained in the 95% confidence interval.\nno, the 95% confidence interval contains positive numbers.\nyes, the 95% confidence interval contains negative numbers.

Answer

Explanation:

Step1: Understand confidence - interval concept

A confidence interval gives a range of values for an unknown parameter. If 0 is in the confidence - interval for the mean difference, it means that the null hypothesis (no difference) is plausible.

Step2: Analyze given interval

The 95% confidence interval for the mean difference (twin 1 - twin 2) in height is (-0.823, 0.573). Since 0 is within this interval, it is reasonable to claim that there is no difference in the heights of twins.

Answer:

Yes, 0 is contained in the 95% confidence interval.