Question

My confidence intervals at 95% are (98.1777, 98.8160) and (98.2868, 98.7379). Discuss any overlap in your...

My confidence intervals at 95% are (98.1777, 98.8160) and (98.2868, 98.7379). Discuss any overlap in your confidence interval and what that
implies about the amount of evidence for a difference in the population means.

Homework Answers

Answer #1

We have two confidence intervals

First confidence interval is  (98.1777, 98.8160)

and second confidence interval is (98.2868, 98.7379).

It is clear that the two confidence interval are overlapping, which means that there is no significant difference between the two confidence interval.

Second confidence interval is completely inside the boundaries of first confidence interval,this shows that there is strong evidence to support that there is no difference between the two interval

Do not reject the null hypothesis as there is no significant difference.

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
a. Compute the 95% and 99% confidence intervals on the mean based on a sample mean...
a. Compute the 95% and 99% confidence intervals on the mean based on a sample mean of 50 and population standard deviation of 10, for a sample of size 15. b. What percent of the 95% confidence intervals would you expect to contain µ? What percent of the 95% confidence intervals would you expect to contain x̅? What percent of the 95% confidence intervals would you expect to contain 50? c. Do you think that the intervals containing µ will...
Based on the confidence level used for your confidence intervals, about how many of the 10,000...
Based on the confidence level used for your confidence intervals, about how many of the 10,000 confidence intervals would you expect to contain the population mean? Explain. How many of your 10,000 confidence intervals actually did contain the population mean? Did your 250th confidence interval contain the population mean? Explain.
Which of the following statements about confidence intervals are true? I. A 95% confidence interval will...
Which of the following statements about confidence intervals are true? I. A 95% confidence interval will contain the true μ 95% of the time. II. If P(|X̅ − μ| > 3) = 0.035. Then a value of μ that is 3 or less units away from X̅ will be included in the 99% confidence interval. III. The point estimate X̅ will be included in a 99% confidence interval.
Question 1. Which of the following is the CORRECT interpretation of a 95% confidence interval? a)...
Question 1. Which of the following is the CORRECT interpretation of a 95% confidence interval? a) There is a 95% probability that the interval contains the population value b) There is a 95% chance that the true population value is inside the interval c) if we sampled from a population repeatedly and created confidence intervals, 95% of those confidence intervals would contain the population mean d) We are 95% sure of the sample statistic Question 2. What is the mean...
Confidence intervals seek to estimate a population parameter with an interval of values calculated from an...
Confidence intervals seek to estimate a population parameter with an interval of values calculated from an observed sample statistic. Demonstrate that you understand this concept by describing a situation in which one could use a sample mean or sample proportion to produce a confidence interval as an estimate of a population mean or population proportion. I am asking you to make up a situation where a confidence interval might be computed. Clearly identify the population, sample, parameter, and statistic involved...
Calculate the 99%, 95%, and 90% confidence intervals for the following information. Identify how these confidence...
Calculate the 99%, 95%, and 90% confidence intervals for the following information. Identify how these confidence intervals are similar and how they are different. Explain why. (70 points) µ = 89 σ = 9 n = 121 The 99% Confidence Interval: The 95% Confidence Interval: The 90% Confidence Interval: Similarities: Differences: Why?
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample...
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample mean is 10 with the sample size of 100. Population standard deviation is known to be 5. 2. Suppose that sample size changes to 144 and 225. Develop three confidence intervals again. What happens to the margin of error when sample size increases? 3. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and 99% confidence interval for...
Creating Confidence Intervals 1. What is the relationship between the Empirical Rule and a 95% confidence...
Creating Confidence Intervals 1. What is the relationship between the Empirical Rule and a 95% confidence interval? 2. How are confidence and margin of error related? Explain with examples. 3. Explain with words and steps how to create a confidence interval for estimating the true value of the population mean of the number of cars owned by Beverly Hills households. Don't forget to write an interpretation of the confidence interval. The sample results were: a. Sample size of 100 people...
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...
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...