Question 2 • EHS Content Recovery - Probability and Statistics - Part D
A school nurse would like to estimate the true mean amount of sleep that students at the high school get per night. To do so, she selects a random sample of 30 students and determines that the 90% confidence interval for the true mean number of hours of sleep that high school students get per night to be 6.5 to 7.5 hours. Which of these statements is a correct interpretation of the confidence level?
Answer
A
There is a probability of 0.90 that the confidence interval (6.5, 7.5) captures the true mean number of hours of sleep that high school students get per night.
B
The nurse can be 90% confident that the true mean number of hours of sleep that all students at her high school get per night is between 6.5 hours and 7.5 hours.
C
If many random samples of size 30 are selected from the population of all students at this high school, approximately 90% of the sample means will be between 6.5 and 7.5 hours.
D
If many random samples of size 30 are selected from the population of all students, about 90% of the intervals would capture the true mean number of hours of sleep that students of this high school get per night.