The width of the confidence interval depends on the sample size. The graph below shows a 95% confidence interval. The dataare the training times (in days) for 20 employees. The mean training time was 51.5 days and the standard deviation was 6.84days.Move the slider below the graph to change the number of observations in the sample and observe how the width of theinterval changes.44n = 104695% Confidence Interval: [46.61, 56.39]48205052544056Created by Gary H. McClelland, Professor Emeritus | University of Colorado Boulder58T60 Created by Gary H. McClelland, Professor Emeritus | University of Colorado BoulderⒸ Cengage Learning. All Rights Reserved.1. Move the slider to a sample size of n = 10. Now move the slider to a sample size of n = 30. For a given confidence level (in this case 95%)what happens to the width of the confidence interval as the sample size increases?a. As sample size increases, the confidence interval becomes narrowerb. As sample size increases, the confidence interval becomes widerc. As sample size increases, the confidence interval remains constant-Select-2. If you would like to obtain a margin of error that is ± 2.31, what sample size would be required?a. 25b. 43c. 36d. 18-Select- ✓

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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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QUESTION 27 What happens to the width of a confidence interval as the sample size decreases? The width of the confidence interval increases. The width of the confidence interval decreases. The width of the confidence interval will not change.
The graph below shows the results from constructing 100 different confidence intervals of the same confidence level, each based on a different sample of size n =75 from a population in which the population proportion is p=0.8. Each vertical line in the figure below spans the length of a different confidence interval. 1.0- 0.9- 0.8 0.7 0.6- 0.5 0 20 40 60 80 100 Sample Number Based on these results, what is the most likely value of the confidence level used in constructing these confidence intervals? (A) 75% (B) 80% (C) 90% (D) 99% (E) 100%
You create a 95% confidence interval for the proportion of a population. The confidence interval does not contain 0.10. This means that Group of answer choices a.You have evidence to conclude that the population proportion is equal to 0.10. b.You do not have evidence to conclude that the population proportion is equal to 0.10. c.You have evidence to conclude that the population proportion is not equal to 0.10. d.You do not have evidence to conclude that the population proportion is not equal to 0.10. e.The answer cannot be determined with the information given.
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Which is true about a 95% confidence interval for a population proportion based on a given sample? A There is a 95% chance that the true sample proportion is in the middle of our interval. There is a 5% chance that our Interval does not contain the population proportion. C The Interval Is wider than a 90% confidence Interval would be. none of these is true.
According to a poll, 79% of California adults (398 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California. Find a 90% confidence interval for the population proportion. (Round your answers to three decimal places.) Additional Materials Reading
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You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 400 randomly selected caterpillars observed, 40 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 400 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
Ellie and Alec are each attempting to estimate the proportion of coffee drinkers who consume more than one cup of coffee per day. They each obtain a random sample of coffee drinkers, and, in each sample, the proportion who drink more than one cup of coffee per day is 0.40. Ellie and Alec each use their sample data to construct a confidence interval. Ellie’s interval is from 0.286 to 0.514, and Alec’s interval is from 0.346 to 0.474. One of these intervals was computed correctly, but the other was not. Which interval must be incorrect? A. Ellie’s interval must be incorrect. B. Alec’s interval must be incorrect. C. It’s impossible to answer this question without knowing the level of confidence used for each interval. D. It’s impossible to answer this question without knowing the sample sizes. E. It’s impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval.
If you increase the confidence level, the confidence interval ________________. A.stays the same B.decreases C.may increase or decrease, depending on the sample data D.increases

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