Question 12 of 25 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
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.The conditions for inference are met. The 95% confidence interval for the mean difference (twin 1 – twin 2) in height is (–0.823, 0.573). What is the correct interpretation of this interval?
Answer
A
The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean height of twins.
B
The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean height of twins in this sample.
C
The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean difference in the height of twins.
D
The doctor can be 95% confident that the interval from –0.823 inches to 0.573 inches captures the true mean difference in the height of the twins in this sample.