Suppose you are a researcher in a hospital. You are experimentingwith a new tranquilizer. You collect data from a random sample of10 patients. The period of effectiveness of the tranquilizer foreach patient (in hours) is as follows:Hours2.22.42.52.42.62.32.52.42.6a) What is a point estimate for the population mean length oftime. (Round answer to 4 decimal places)b) What must be true in order to construct a confidence interval inthis situation?Select an answerc) Construct a 99% confidence interval for the population meanlength of time.. Enter your answer as an open-interval (i.e.,parentheses example (5.2314,8.1245)) Round upper and lowerbounds to 4 decimal places.d) What does it mean to be "99% confident" in this problem?O There is a 99% chance that the confidence interval containsthe sample mean time.O The confidence interval contains 99% of all sample times.99% of all times will fall within this interval.99% of all confidence intervals found using this same samplingtechnique will contain the population mean time.e) Suppose that the company releases a statement that the meantime for all patients is 2 hours.Is this possible? ?Is it likely?? b) What must be true in order to construct a confidence interval inthis situation?Select an answerc) (lenlation meanV Select an answerval (i.e.,and lowerparbouThe population standarddeviation must be knownd) \problem?The sample size must berval containsgreater than 30iple times.The population meanmust be knownsame samplingе.e) !timThe population must beapproximately normalthat the meanIsIs it likely? a

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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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Identify a question you would like to answer using statistics which may be answered using a confidence interval in plain English. Example: What is the average GPA of an incoming student at MC Identify the parameter related to your question and its symbol and its name. Example: m, mean identify the statistic related to your question and its symbol Example: x(bar), sample mean List your data(try to get at least 10 in your sample). Example: 3.28, 2.41, 3.64, 1.28,3.56, 2.57, 3.10,2.94, 2.45, 3.16, 2.45 Describe your population of inteeest. Example: All students at MC Describe your sample. Example: 11 Studens in my statistics class Comment on how you obtained your sample Example: Conducted an email survey of the students in my statistics class Comment on the bias in your sample Example; This sample is biased since it is only people in math 117, who need certain perquisites to take the course, this underrepresents students without the…
Use the given confidence interval to find the margin of error and the sample mean. (68.3,80.9) THe sample mean is? The margin of error is?
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) For each problem below, Decide whether it describes a confidence interval for a proportion or a confidence interval for a mean. Apply the correct formula to calculate the confidence interval in the format of an estimate + margin of error. During the 2016 season, Mark Williams played in 18 golf matches and used his driver club 126 times, hitting his drives an average of 278 yards per drive, with a standard deviation of 15 yards per drive. Calculate a 95% confidence interval for the distance he was able to hit his driver club in that season.
You recently sent out a survey to determine if the percentage of adults who use social media has changed from 60%, which was the percentage of adults who used social media five years ago. Of the 2307 people who responded to survey, 1721 stated that they currently use social media. a) Use the data from this survey to construct a 96% confidence interval estimate of the proportion of adults who use social media. Round your final answer to two decimal places. < p < b) Can you conclude that the percentage of adults who use social media has changed? Explain. Yes, because the proportion of adults who used social media five years ago is inside of the confidence interval. Yes, because the proportion of adults who used social media five years ago is not inside the confidence interval. No, because the proportion of adults who used social media five years ago is inside the confidence interval. No, because the proportion of adults who used social media five years ago is not inside the confidence…
Use the confidence interval to find the estimated margin of error. Then find the sample mean. A store manager reports a confidence interval of (46.7,78.3) when estimating the mean price (in dollars) for the population of textbooks. The estimated margin of error is (Type an integer or a decimal.) The sample mean is (Type an integer or a decimal.)
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