Question

Suppose you calculate a 95% confidence interval for the difference in population means. The confidence interval...

Suppose you calculate a 95% confidence interval for the difference in population means. The confidence interval contains both negative and positive values.

Will a 99% confidence interval based on the same data contain both negative and positive numbers as well? Choose the correct response from the options provided below.

A. Yes. Keeping all other values the same, increasing the confidence level leads to a wider interval which would still include negative and positive numbers.
B. No. Increasing the confidence level leads to a narrower interval so we cannot be sure if the interval would still contain both negative and positive numbers.
C. Yes. All 99% confidence intervals for the difference in populations means contain both negative and positive numbers, no matter the situation.
D. Not necessarily. We cannot be sure how changing the confidence level will affect the confidence interval.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose you calculate a 95% confidence interval for the difference in population means. The confidence interval...
Suppose you calculate a 95% confidence interval for the difference in population means. The confidence interval contains both negative and positive values. Will a 99% confidence interval based on the same data contain both negative and positive numbers as well? Choose the correct response from the options provided below. Yes. Keeping all other values the same, increasing the confidence level leads to a wider interval which would still include negative and positive numbers. No. Increasing the confidence level leads to...
A. which confidence interval is wider? The 95% confidence interval or the 99% confidence interval? difference...
A. which confidence interval is wider? The 95% confidence interval or the 99% confidence interval? difference for both confidence intervals: 0.109 95% CI for difference: (-0.123, 0.340) 99% CI for difference: (-0.199, 0.416) B. Given an arbitrary data set, is there a general relationship between confidence level and the width of the confidence interval? Explain. Please make the answers to parts A and B detailed and easy to read and follow, thank you :)
If you construct a 90% confidence interval for the population mean instead of a 95% confidence...
If you construct a 90% confidence interval for the population mean instead of a 95% confidence interval and the sample size is smaller for the 90%, but with everything else being the same, the confidence interval would: a. remain the same b. become narrower c. become wider d. cannot tell without further information.
You are constructing a 95% confidence interval for the mean of a normal population. If you...
You are constructing a 95% confidence interval for the mean of a normal population. If you increase your sample size from n to 4n, the width of the confidence interval a) becomes two times wider b) becomes two times narrower c) becomes four times narrower d) becomes four time wider e) cannot determine from this information Can somebody explain please? Will upvote :) Thank you
Describe a confidence interval for the difference in means between two population by stating 1. a...
Describe a confidence interval for the difference in means between two population by stating 1. a pair of populations composed of the same type of individuals and a quantitative variable on those populations, 2. sizes and degrees of freedom of samples from those populations, 3. the means of those samples, and 4. the standard deviations of those samples. Then state 5. a confidence level and find 6. find the interval. Finally, perform a test of significance concerning the difference in...
Find a 95% confidence interval for the difference between the two population means.
Find a 95% confidence interval for the difference between the two population means.
You want to calculate a 95% confidence interval (CI) for the difference between the means of...
You want to calculate a 95% confidence interval (CI) for the difference between the means of two variables. The variables are from populations with normal distributions and those distributions have the same standard deviation (σ). To make your estimate you will take the same number of samples from each population, calculate the mean for each sample, calculate the difference between those sample means, and then add or subtract the term that defines the CI. If you want the width of...
One can calculate the 95% confidence interval for the mean with the population standard deviation known....
One can calculate the 95% confidence interval for the mean with the population standard deviation known. This will give us an upper and a lower confidence limit. What happens if we decide to calculate the 99% confidence interval? Describe how the increase in the confidence level has changed the width of the confidence interval. Do the same for the confidence interval set at 80%. Include an example with actual numerical values for the intervals in your post to help with...
One can calculate the 95% confidence interval for the mean with the population standard deviation known....
One can calculate the 95% confidence interval for the mean with the population standard deviation known. This will give us an upper and a lower confidence limit. What happens if we decide to calculate the 99% confidence interval? Describe how the increase in the confidence level has changed the width of the confidence interval. Do the same for the confidence interval set at 80%. Include an example with actual numerical values for the intervals in your post to help with...
One can calculate the 95% confidence interval for the mean with the population standard deviation known....
One can calculate the 95% confidence interval for the mean with the population standard deviation known. This will give us an upper and a lower confidence limit. What happens if we decide to calculate the 99% confidence interval? Describe how the increase in the confidence level has changed the width of the confidence interval. Do the same for the confidence interval set at 80%. Include an example with actual numerical values for the intervals in your post to help with...