Explain what is meant by the statement, "We are 95% confident that an interval estimate contains...
Explain what is meant by the statement, "We are 95% confident that an interval estimate contains μ" Choose the correct answer below. A. The statement reflects the confidence in the particular interval found from this application. It explains that there is a 95% chance that the O B. The statement reflects the confidence in the particular interval found from this application. It explains that over many repetitions of this O C. The statement reflects the confidence in the estimation process...
just explain in words 1. Suppose you are drawing a random sample of size n > 0 from n(μ, σ2) where σ 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is X - 1.96, X +1.96 小2 Vn a. If (3.2.5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (32.5.1) is a...
1. Suppose you are drawing a random sample of size n > 0 from N(μ, σ2) where σ > 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is (X- 1.96X+1.96 Vn a. If (3.2, 5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (3.2.5.1) is a 95% CI from a particular random...
Let's say we have constructed a 95% confidence interval estimate for a population mean. Which of the following statements would be correct? A. We expect that 95% of the intervals so constructed would contain the true population mean. B. We are 95% sure that the true population mean lies either within the constructed interval or outside the constructed interval. C. Taking 100 samples of the same size, and constructing a new confidence interval from each sample, would yield five intervals...
What is meant by the term “90% confident” when constructing a confidence interval for a proportion? A. If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the sample proportion. B. If we took repeated samples, approximately 90% of the samples would produce the same confidence interval. C. If we took repeated samples, the sample proportion would equal the population mean in approximately 90% of the samples. D. If we took repeated samples,...
Question 5. A random sample of 50 bottles of a brand of cough syrup is selected, and the alcohol content of each bottle is measured. Let μ be the mean alcohol content for the population of all bottles of the brand under consideration. The 95% confidence interval estimated from the data is (7.8 μ 9.4). (a) would a 90% confidence interval calculated from the same sample be wider or narrower? Explain. (b) Consider the statement: there is a 95% chance...
Which statement is NOT true about confidence intervals? A) A confidence interval is an interval of values computed from sample data that is likely to include the true population value B) An approximate formula for a 95% confidence interval is sample estimate ± margin of error. C) A confidence interval between 20% and 40% means that the population proportion lies between 20% and 40% D) A 99% confidence interval procedure has a higher probability of producing...
In class we had 41 95% confidence intervals that we believe to be calculated correctly. The confidence intervals were collected by taking a sample of 60 data points from the population data. 41 of the confidence intervals appear to be calculated correctly. Of these 4 of them do not have the population mean inside the confidence interval. Based on a 95% confidence, we expected 2 to not contain the population mean. Did this happen by chance alone? To find your...
In class we had 41 95% confidence intervals that we believe to be calculated correctly. The confidence intervals were collected by taking a sample of 60 data points from the population data. 41 of the confidence intervals appear to be calculated correctly. Of these 4 of them do not have the population mean inside the confidence interval. Based on a 95% confidence, we expected 2 to not contain the population mean. Did this happen by chance alone? To find your...
100 random samples were taken, and for each random sample we made a 95% confidence interval, about how many of those 100 confidence intervals would actually contain the parameter? Increasing the confidence level (more than one) a increase the width of a confidence interval b increase the probability that the parameter is in the confidence interval c increase the percentage of samples which will create a confidence interval that contains the parameter d Increase the margin of error A...