A student was asked to find a 90% confidence interval for widget width using data from a random sample of size n = 15. Which of the following is a correct interpretation of the interval 13.5 < μ < 23.1?

A student was asked to find a 98% confidence interval for the proportion of students who take notes using data from a random sample of size n = 86. Which of the following is a correct interpretation of the interval 0.11 < p < 0.33? Check all that are correct. The proportion of all students who take notes is between 0.11 and 0.33, 98% of the time. With 98% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.11 and 0.33. There is a 98% chance that the proportion of the population is between 0.11 and 0.33. There is a 98% chance that the proportion of notetakers in a sample of 86 students will be between 0.11 and 0.33. With 98% confidence, the proportion of all students who take notes is between 0.11 and 0.33.

A researcher is interested in studying the use of hypnosis to relieve pain. She took a random sample of 16 subjects and measured their sensory ratings. The mean of the sensory ratings was found to be 7.5 and standard deviation to be 2.3. It is known that the sensory ratings are normally distributed. Construct a 99% confidence interval for the mean sensory ratings of the population.  a) (5.81, 9.19) b) (6.27, 8.73) c) (6.36, 8.64) d) (6.02, 8.98)

A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.3 and the sample standard deviation is found to be x=12.3. Construct a​ 99% confidence interval for the population mean.