I need help with the following statistic questions:

1.A student was asked to find a 95% confidence interval for widget width using data from a random sample of size n = 16. Which of the following is a correct interpretation of the interval 12.6 < < 32.3?

Check all that are correct.

• There is a 95% chance that the mean of a sample of 16 widgets will be between 12.6 and 32.3.
• There is a 95% chance that the mean of the population is between 12.6 and 32.3.
• With 95% confidence, the mean width of a randomly selected widget will be between 12.6 and 32.3.
• With 95% confidence, the mean width of all widgets is between 12.6 and 32.3.
• The mean width of all widgets is between 12.6 and 32.3, 95% of the time. We know this is true because the mean of our sample is between 12.6 and 32.3.

2.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 = 80. Which of the following is a correct interpretation of the interval 0.12 < p < 0.33?

Check all that are correct.

• The proprtion of all students who take notes is between 0.12 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 0.12 and 0.33.
• There is a 98% chance that the proportion of the population is between 0.12 and 0.33.
• There is a 98% chance that the proportion of notetakers in a sample of 80 students will be between 0.12 and 0.33.
• With 98% confidence, the proportion of all students who take notes is between 0.12 and 0.33.