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. O A. The statement reflects the confidence in the particular interval found from this application. It explains that over many repetitions of this O B. The statement reflects the confidence in the estimation process rather than in the particular interval that is calculated from the sample ° C. The statement reflects the confidence in the particular interval found...
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...