A student was asked to find a 95% confidence interval for widget width using data from a random sample of size n = 27. Which of the following is a correct interpretation of the interval 13.1 < μ < 25.9?Check all that are correct.There is a 95% chance that the mean of the population is between 13.1 and 25.9.With 95% confidence, the mean width of all widgets is between 13.1 and 25.9.With 95% confidence, the mean width of a randomly selected widget will be between 13.1 and 25.9.There is a 95% chance that the mean of a sample of 27 widgets will be between 13.1 and 25.9.The mean width of all widgets is between 13.1 and 25.9, 95% of the time. We know this is true because the mean of our sample is between 13.1 and 25.9.

A student was asked to find a 95% confidence interval for weight of their backpacks in pounds using data from a random sample of size n = 20. Which of the following is a correct interpretation of the interval 3.1 < μ < 8.6? Assume the population is normally distributed.With 95% confidence, the weight of a randomly selected backpack will be between 3.1 and 8.6 pounds.There is a 95% chance that the mean of a sample of 20 backpacks will weigh between 3.1 and 8.6 pounds.There is a 95% chance that the weight is between 3.1 and 8.6.With 95% confidence, the mean weight of all backpacks is between 3.1 and 8.6 pounds.The sample mean weight of all backpacks is between 3.1 and 8.6 pounds, 95% of the time. We know this is true because the mean of our sample is between 3.1 and 8.6.

Which of the following is the width of the confidence interval for the population mean?

A student was asked to find a 95% confidence interval for the proportion of students who take notes using data from a random sample of size n = 89. Which of the following is a correct interpretation of the interval 0.1 < p < 0.2?Check all that are correct.There is a 95% chance that the proportion of notetakers in a sample of 89 students will be between 0.1 and 0.2.There is a 95% chance that the proportion of the population is between 0.1 and 0.2.With 95% confidence, the proportion of all students who take notes is between 0.1 and 0.2.With 95% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.1 and 0.2.The proprtion of all students who take notes is between 0.1 and 0.2, 95% of the time.

Suppose (35,40) is a 95% confidence interval estimate for a population mean 𝜇. Which of the following are true statements?I. There is a .95 probability that 𝜇 is between 35 and 40.II. If 100 random samples of the given size are picked and a 95% confidence interval is calculated from each, then 𝜇 will be in 95 of the resulting intervals.III. If 95% confidence intervals are calculated from all possible samples of the given size, 𝜇 will be in 95% of these intervals.I and III and IIIII and IIII, II, and IIINone of the above gives the complete set of true responses.

A random sample of 160 households is selected to estimate the mean amount spent on electric service. A 95% confidence interval was determined from the sample results to be ($151, $216). Which of the following is the correct interpretation of this interval? There is a 95% chance that the mean amount spent on electric service is between $151 and $216. We are 95% confident that the mean amount spent on electric service among the 160 households is between $151 and $216. 95% of the households will have an electric bill between $151 and $216. We are 95% confident that the mean amount spent on electric service among all households is between $151 and $216