For population mean the confidence interval is
For population proportionthe confidence interval is
In both cases, we can see that the width of the CI
So when the sample size increases, the width of the confidence interval becomes narrower.
First choice is correct.
QUESTION 1 Suppose we have a sample size of 100 and calculate a confidence interval. What will happen to that interval...
QUESTION 3 "In interval estimation, as the sample size becomes larger, the interval estimate" becomes narrower. becomes wider. "remains the same, because the mean is not changing." gets closer to 1.96. ОО QUESTION 4 "A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average age of all the students at the university is significantly...
Suppose we have an existing confidence interval for a population mean. If we increase the sample size by a factor of 100, what happens to the width of the confidence interval? a) It remains the same. b) It decreases by a factor of 100. c) It increases by a factor of 10. d) It decreases by a factor of 10.
Answer and explain. If all other quantities remain the same, what will happen to the width of a confidence interval if there is an increase in the:confidence level;sample size; andstandard deviation
Question 14 (1 point) Suppose you compute a 95% confidence interval. What will happen to the confidence interval if you increase the confidence level to 99%? O A) Confidence interval will decrease if the confidence level becomes wider OB) Confidence interval will become wider if the confidence level is increased O C) Confidence interval will increase if the confidence level becomes wider OD) Confidence interval will become narrower if the confidence level is increased Previous Page Next Page Page 10...
Assume a sample of 100 units provide a 95% confidence interval [10,20]. Which of the following is TRUE? Question 1 options: margin of error = 5, sample mean = 15 margin of error = 15, sample mean = 5 margin of error = 10, sample mean = 15 margin of error = 15, sample mean = 30 Question 2 (1 point) Assume a sample of 100 units provide a 95% confidence interval [10,20]. Which of the following could correspond to...
What would happen (other things being equal) to a confidence interval if you calculated a 99% confidence interval rather than a 95% confidence interval? Question 11 options: It will not change. It will be wider. It will be narrower.
ect Question 3 0/20 pts Suppose we have an existing confidence interval for a population mean. If we increase the sample size by a factor of 100, what happens to the width of the confidence interval? It remains the same. It decreases by a factor of 100. It increases by a factor of 10. It decreases by a factor of 10.
QUESTION 21 If we change a 90% confidence interval estimate to a 99% confidence interval estimate while holding sample size constant, we can expect a. the width of the confidence interval to increase. b. the width of the confidence interval to decrease. c. the width of the confidence interval to remain the same. d. the sample size to increase. QUESTION 22 Which one of the following is a correct statement about the probability distribution of a t random variable? a....
Suppose you construct a 96% confidence interval for a population mean from a normal distribution with known . Scenario 1: If you increase the size of the sample while keeping the same 95% level of confidence, how would your confidence interval be affected? Circle answer. a. would be wider b. would be narrower c. there would be no change d. no way to know without additional information Scenario 2: If you increase the level of confidence from 96% to 99%...
when the level of confidence and sample proportion remain the same, a confidence interval for a population proportion based on a sample of n=200 will be narrower than a confidence interval based in a sample of n=100. True or False