When we use a 95% confidence interval (CI) to estimate a population mean, which of thefollowing is correct?We are 95% confident the sample mean lies within the confidence interval.We are 95% confident the sample mean lies outside the confidence interval.There is a 0.95 probability that the sample mean lies within the confidence interval.There is a 0.95 probability that the population mean lies within the confidence interval.We are 95% confident that the population mean lies within the confidence interval.

A confidence interval is a range of values, bounded above and below the statistic's mean, that…

Answered: When we use a 95% confidence interval…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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State how you would respond to the following student posts in a discussion on how to interpret a 95% confidence interval for a population mean. One student posted their interpretation as “There is a 95% chance that this population mean will fall inside the confidence interval.” Another student responded to this post with “I don’t think that your interpretation is correct. The population mean is a fixed value. There is no chance involved. The population mean either falls inside the confidence interval or it does not.”
Suppose you find that the 95% confidence interval for the cost of a wedding is ($29,000, $35,000). What is the correct interpretation of this interval? Group of answer choices For the next wedding you attend, the cost will be between $29,000 and $35,000. There is a 95% probability that the sample mean is between $29,000 and $35,000. There is a 95% probability that the population mean is between $29,000 and $35,000. You are 95% confident that the mean wedding cost is between $29,000 and $35,000. thanks
A random sample of 35 customers has an average order size of $80, and a population standard deviation of $22.00. Not all samples of this size would give you the same sample average, so you'd like to construct an "interval estimate" to convey this uncertainty. What is a 95% confidence interval for this mean? Group of answer choices a $78.77 - $81.23 b $72.56 - $87.44 c $36.88 - $123.12 d $72.71 - $87.29
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)
A college professor would like to estimate the proportion of students who pull an "all-nighter," meaning they study all night for an upcoming exam. She selects a random sample of 100 students from her large college and finds that the 99% confidence interval for the true proportion of students who pull an all-nighter is 0.48 to 0.62. Which of these statements is a correct interpretation of the confidence level? O Approximately 99% of all students have pulled an all-nighter. O There is a 99% probability that the true proportion of all students who pull an all-nighter is between 0.48 and 0.62. If many random samples of size 100 are selected from all students at this college, approximately 99% of the intervals would capture the true proportion who pull an all-nighter. C Approximately 99% of the sample proportions of students who pull an all-nighter, based on random samples of size 100 from the population of all students at this college, will fall between 0.48 and 0.62.
Statistics students surveyed 135 students at Tallahassee Community College. From their data we are 95% confident that between 44.7% and 61.9% of all TCC students are female. The students realize that this interval contains a large margin of error. What can they do to make a narrower interval? 1. Survey more students. 2. Use a 99% confidence level. 3. Survey more students and use a 99% confidence interval. 4. None of the other choices.
A box model is used to calculate a confidence interval in the following scenario: Statistics club at TYHS wants to know the average time students in TYHS spent on preparing for their standardized exams. They sampled 100 students from TYHS. They want to construct a confidence interval for the average time that students in TYHS spent on preparing for their standardized exams. For each of the following quantities in the box model, select the answer if the quantity is random, not fixed. Leave the quantities that are fixed unselected. Group of answer choices. You can select more than one answer the proportion of 0's in the box model the EV and SE of the sample average the average time of every student in TYHS spent on preparing for their standardized exams the sample average of students spent on preparing for their standardized exams
Online News In a Harris poll of 2036 adults, 40% said that they prefer to get their news online. Construct a 95% confidence interval estimate of the percentage of all adults who say that they prefer to get their news online. Can we safely say that fewer than 50% of adults prefer to get their news online?

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