**Title: Constructing an 89% Confidence Interval for Coronary Artery Bypass Surgery Time**A surgeon seeks to determine the average time to complete a coronary artery bypass surgery. She collects data from 24 surgeries, measuring the time in hours as follows:4.8, 4.7, 4.5, 4.8, 5.1, 4.8, 4.5, 4.8, 4.2, 4.9, 4.7, 4.9, 4.6, 4.6, 4.5, 4.9, 4.8, 4.5, 4.9, 4.8, 5.1, 4.7, 4.7, 4.6Given a population standard deviation (σ) of 0.25, the task is to construct an 89% confidence interval for the average surgery time.**Calculations Needed:**1. **Sample Mean (x̄):** Calculate the mean of the sample data points.2. **Confidence Level (α/2):** Determine the significance level associated with the 89% confidence interval.3. **Z-value (zᵦ/₂):** Find the Z-score corresponding to the confidence level.4. **Margin of Error (E):** Use the formula for the margin of error, E = zᵦ/₂ * (σ/√n), where n is the sample size.5. **Confidence Interval:** Calculate the range using (x̄ - E) to (x̄ + E).**Conclusion:**We are 89% confident that the mean time needed to complete a coronary artery bypass surgery is between [lower limit] hours and [upper limit] hours.**Additional Resources:**For further clarification or assistance, please refer to this [forum link].(Note: The placeholders for calculations should be filled in with the appropriate computations based on the data provided.)

Answered: A surgeon would like to know how long…

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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A certain county had a population of 34,485 people. The county hospital is interested in estimating the number of people in the county with blood type-O. To do this, they test blood samples from 228 patients. Out of this group, 10 have blood type-O. Use this sample to estimate the number of people in the county with blood type-O.
Suppose Laura, a facilities manager at a health and wellness company, wants to estimate the difference in the average amount of time that men and women spend at the company's fitness centers each week. Laura randomly selects 15 adult male fitness center members from the membership database and then selects 15 adult female members from the database. Laura gathers data from the past month containing logged time at the fitness center for these members. She plans to use the data to estimate the difference in the time men and women spend per week at the fitness center. The sample statistics are summarized in the table. Population Populationdescription Population mean(unknown) Samplesize Sample mean(min) Sample standarddeviation (min) 11 male μ1 n=15 x¯1=137.7 s=51.7 22 female μ2 n=15 x¯2=114.6 s=34.2 df=24.283 The population standard deviations are unknown and unlikely to be equal, based on the sample data. Laura plans to use the two-sample ?-t-procedures to estimate the…
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Some commercial airlines recirculate about half the air in the cabin during flights as a way to improve fuel efficiency. Other airlines make a policy of NOT recirculating the air and instead, have fresh air from the atmosphere constantly being inserted into the cabin with the “old” air being pumped out of the plane. A total of 1100 passengers flying from San Francisco to Denver were used for an experiment. After their flight, they were each given a list of symptoms associated with the common cold. They were asked to report if they experienced cold symptoms within 24 hours of the flight landing. Of the 517 passengers who flew on planes that recirculate the air, 108 reported post-flight cold symptoms. Of the 583 passengers who flew on airlines that do not use recirculation in the cabin, 110 reported symptoms. Suppose now that we want to use the recirculation of air data to explore “Goal #2”, which is to resolve a hypothesis test about . a) If we want to resolve this hypothesis…
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