1. Answer the following concept questions in 1-3 sentences each.(a) Is a sample mean likely to be exactly equal to the population mean? Explain why or whynot.(b) Will the sample mean (or sample proportion) always be inside a confidence interval for thepopulation mean (or the population proportion)? Explain why or why not.(c) Suppose you have one dataset. You create two different confidence intervals from it, a 92.6%confidence interval, and a 96.2% confidence interval. Which interval will be wider?

We have to answer the questions based on sampling.

Answered: 1. Answer the following concept…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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QUESTION 22 A car insurance company wanted information about the age of its customers. A researcher computed 90%, 95%, 97%, and 99% confidence intervals for the population mean age of the customers. Which of the following intervals is the the 97% confidence interval for the population mean age? (36.30, 39.70) O (36.70, 39.30) (36.56, 39.44) (36.91, 39.09)
Suppose you calculate a 95% and 90% confidence interval for the true proportion of college students with student loan using the same data set. Which of the following must be true? a) The 95% confidence interval is wider than the 90% confidence interval. b) The 95% confidence interval is the same length as the 90% confidence interval. c) The 95% confidence interval is narrower than the 90% confidence interval. d) There is no way to tell from the given information.
You are estimating how much population A's proportion of answering yes to a question exceeds population B's proportion who say yes to the same question by using a confidence interval. You have some ability to control the width of your interval. Which of the following would be most likely to ensure that the confidence interval is narrowed? O a. You increase both sample sizes and you decrease your confidence level. O b. You increase both sample sizes and you increase your confidence level. OC. You decrease both sample sizes and you increase your confidence level. O d. You decrease both sample sizes and you decrease your confidence level.
Question 3: which sample size of students would have a confidence interval with a smaller width?
Mental health. The General Social Survey asked the question: “For how many days during the past30 days was your mental health, which includes stress, depression, and problems with emotions, not good?”Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24days in 2010.(a) Interpret this interval in context of the data.(b) What does “95% confident” mean? Explain in the context of the application.(c) Suppose the researchers think a 99% confidence level would be more appropriate for this interval. Willthis new interval be smaller or wider than the 95% confidence interval?(d) If a new survey were to be done with 500 Americans, do you think the standard error of the estimatebe larger, smaller, or about the same.
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)
The full question for part B is written down below. (b) The 90% confidence interval is (__,__). It does/does not seem likely that the population mean could be within 8% of the sample mean because 8% off from the sample mean would fall outside/inside the confidence interval. It does not/does seem likely that the population mean could be within 9% of the sample mean because 9% off from the sample mean would fall outside/inside the confidence interval.
QUESTION 23 Ali constructed a 98% confidence interval for the mean amount spent per day in a shopping mall based on 100 customers. The confidence interval was found to be (AED 1150, AED 2150). Select all correct answers. The mean amount spent per day by the 100 customers selected in the sample falls between AED 1150 and AED 2150. We are 98% confident that the mean amount spent per day by customers falls between AED 1150 and AED 2150. The mean amount spent per day by all customers falls between AED 1150 and AED 2150. 98% of all customers spent between AED 1150 and AED 2150 per day.
The following summary of a statistical study gives a sample statistic and a margin of error. Find the confidence interval and answer any additional questions. A poll is conducted the day before a state election for senator. There are only two candidates running for this office. The poll results show that 57% of the voters favor the Republican candidate, with a margin of error of 3 percentage points. Should the Republican expect to win? Why or why not? The confidence interval is from nothing% to nothing%. (Simplify your answers. Use ascending order.)
Defense Travel Syst... ▸ DBIDS | Web Portal -OR- Preservation Request TRICARE Online Topic 1: Results from surveys or opinion polls often report a range of values-the sample statistic plus or minus a margin of error (the resulting range is called a confidence interval). This tells us that the range is likely to contain the population parameter. How much wiggle room we provide is based on how much confidence we wish to have that the range contains the actual population mean. That confidence level is directly related to the middle "truth" area we will accept versus the dubious tail area we will reject-also known as alpha (x). The more confidence we wish to have -the more middle ground we will need to accept (more wiggle room)-thus a smaller tail area. If we insist on a larger alpha (more dubious tail area), we narrow the middle ground we will accept and thus provide less wiggle room-so the more likely it is that we will miss the true average (and, thus, we have a lower confidence level).…
Answer D and E
Question 17: determine which is the 95% confidence interval and which is the 99% confidence interval. (60,120) (75,100)

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